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fix: 修正行星事件边界与留点计算

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- 统一 UT 事件时刻与 TT 查询时刻的边界判断
- 将外行星留点搜索锚定到对应冲日周期
- 修正水星、金星合日、留、大距事件选择
- 统一七大行星视位置计算辅助逻辑
- 增加公开 Last/Next 边界和 JPL/NAOJ 基线回归测试
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兔子 2026-05-22 12:24:41 +08:00
parent d40c4dfcd9
commit 34ff6a36ae
Signed by: b612
GPG Key ID: 99DD2222B612B612
51 changed files with 33522 additions and 10994 deletions
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149
README.en.md
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@ -249,7 +249,6 @@ Output:
```text ```text
[魏明帝 景初三年腊月二十 蜀后主 延熙二年冬月十九 吴大帝 赤乌二年冬月二十] // one Gregorian instant maps to parallel Three Kingdoms lunisolar results [魏明帝 景初三年腊月二十 蜀后主 延熙二年冬月十九 吴大帝 赤乌二年冬月二十] // one Gregorian instant maps to parallel Three Kingdoms lunisolar results
[ [
{ {
"solarDate": "0240-01-01T08:08:08.000000008+08:00", "solarDate": "0240-01-01T08:08:08.000000008+08:00",
@ -309,7 +308,6 @@ Output:
"chineseZodiac": "羊" "chineseZodiac": "羊"
} }
] // structured lunisolar records, one object per matching historical result ] // structured lunisolar records, one object per matching historical result
1083-11-24 00:00:00 +0800 CST // Gregorian date corresponding to 元丰六年十月十二日 1083-11-24 00:00:00 +0800 CST // Gregorian date corresponding to 元丰六年十月十二日
[宋神宗 元丰六年十月十二 辽道宗 大康九年十月十二] // the same day also matches a Liao calendar result [宋神宗 元丰六年十月十二 辽道宗 大康九年十月十二] // the same day also matches a Liao calendar result
2026-02-17 00:00:00 +0800 CST // Chinese New Year in 2026 2026-02-17 00:00:00 +0800 CST // Chinese New Year in 2026
@ -341,10 +339,10 @@ func main() {
Output: Output:
```text ```text
2020-02-04 17:03:17.820854187 +0800 CST // Beginning of Spring 2020-02-04 17:03:20.471614301 +0800 CST // Beginning of Spring
2020-12-21 18:02:17.568823993 +0800 CST // Winter Solstice 2020-12-21 18:02:20.648710727 +0800 CST // Winter Solstice
2020-03-20 11:49:34.502393603 +0800 CST // March Equinox 2020-03-20 11:49:37.149532735 +0800 CST // March Equinox
2020-03-20 11:49:34.502393603 +0800 CST // same result from direct longitude input 2020-03-20 11:49:37.149532735 +0800 CST // same result from direct longitude input
``` ```
### Sun And Moon ### Sun And Moon
@ -400,14 +398,14 @@ func main() {
Output: Output:
```text ```text
2020-01-01 07:22:27.964431345 +0800 CST <nil> // civil morning twilight begins 2020-01-01 07:22:27.960488498 +0800 CST <nil> // civil morning twilight begins
2020-01-01 07:50:14.534510672 +0800 CST <nil> // sunrise 2020-01-01 07:50:14.530648291 +0800 CST <nil> // sunrise
2020-01-01 12:47:35.933117866 +0800 CST // solar upper culmination 2020-01-01 12:47:35.933117866 +0800 CST // solar upper culmination
2020-01-01 17:44:47.076647579 +0800 CST <nil> // sunset 2020-01-01 17:44:47.070974707 +0800 CST <nil> // sunset
2020-01-01 18:12:33.629668056 +0800 CST <nil> // civil evening twilight ends 2020-01-01 18:12:33.624035418 +0800 CST <nil> // civil evening twilight ends
2020-01-01 11:52:44.643359184 +0800 CST <nil> // moonrise 2020-01-01 11:52:45.157297253 +0800 CST <nil> // moonrise
2020-01-01 17:38:03.879639208 +0800 CST // lunar upper culmination 2020-01-01 17:38:02.510787248 +0800 CST // lunar upper culmination
2020-01-01 23:26:52.202896177 +0800 CST <nil> // moonset 2020-01-01 23:26:51.580328643 +0800 CST <nil> // moonset
``` ```
#### Sun and Moon position #### Sun and Moon position
@ -461,17 +459,16 @@ func main() {
Output: Output:
```text ```text
280.0152925179703 // apparent ecliptic longitude of the Sun, degrees 280.01526210031136 // apparent ecliptic longitude of the Sun, degrees
23.436215552851408 // true obliquity of the ecliptic, degrees 23.4362178391013 // true obliquity of the ecliptic, degrees
RA: 18h43m34.83s Dec: -23°3′30.25″ // apparent RA and Dec of the Sun RA: 18h43m34.82s Dec: -23°3′30.27″ // apparent RA and Dec of the Sun
Sagittarius // English constellation containing the Sun Sagittarius // English constellation containing the Sun
Azimuth: 120.19483856399326 Altitude: 2.4014324584398516 Zenith: 87.59856754156014 // solar horizontal coordinates at Xi'an Azimuth: 120.19477090015224 Altitude: 2.4014437419430097 Zenith: 87.59855625805699 // solar horizontal coordinates at Xi'an
0.9832929365443133 // Sun-Earth distance, AU 0.983292937163176 // Sun-Earth distance, AU
RA: 23h17m53.15s Dec: -10°19′18.57″ // topocentric apparent RA and Dec of the Moon
RA: 23h17m51.93s Dec: -10°19′17.02″ // topocentric apparent RA and Dec of the Moon
Aquarius // English constellation containing the Moon Aquarius // English constellation containing the Moon
Azimuth: 67.84449893794012 Altitude: -45.13018696439911 Zenith: 135.13018696439912 // lunar horizontal coordinates at Xi'an Azimuth: 67.84050700509859 Altitude: -45.13425530765482 Zenith: 135.13425530765483 // lunar horizontal coordinates at Xi'an
404238.6354387698 // Earth-Moon distance, km 404238.6096080479 // Earth-Moon distance, km
``` ```
`sun.Physical` / `sun.PhysicalN` return: `sun.Physical` / `sun.PhysicalN` return:
@ -609,12 +606,12 @@ func main() {
Output: Output:
```text ```text
0.3000437415436273 // about 30% of the lunar disk is illuminated 0.300041309608744 // about 30% of the lunar disk is illuminated
上峨眉月 // Chinese phase description 上峨眉月 // Chinese phase description
2020-01-25 05:41:55.820311009 +0800 CST // next new moon 2020-01-25 05:41:58.271192908 +0800 CST // next new moon
2020-01-03 12:45:20.809730887 +0800 CST // next first quarter 2020-01-03 12:45:23.229190707 +0800 CST // next first quarter
2020-01-11 03:21:14.729664623 +0800 CST // next full moon 2020-01-11 03:21:17.159625291 +0800 CST // next full moon
2020-01-17 20:58:20.955985486 +0800 CST // next last quarter 2020-01-17 20:58:23.396406769 +0800 CST // next last quarter
``` ```
Phase aliases: Phase aliases:
@ -1005,18 +1002,18 @@ Output:
```text ```text
total // eclipse type total // eclipse type
true {125 49 72} // Lunar Saros 125, member 49/72 true {125 49 72} // Lunar Saros 125, member 49/72
2028-12-31 16:52:05.257715537 +0000 UTC // greatest eclipse 2028-12-31 16:52:05.566135346 +0000 UTC // greatest eclipse
2.273989043 1.246114288 // penumbral and umbral magnitudes 2.273989043382249 1.2461142882946992 // penumbral and umbral magnitudes
2028-12-31 14:03:54.163612125 +0000 UTC // P1 2028-12-31 14:03:54.219463169 +0000 UTC // P1
2028-12-31 15:07:42.293254197 +0000 UTC // U1 2028-12-31 15:07:42.115980684 +0000 UTC // U1
2028-12-31 16:16:27.717077732 +0000 UTC // U2 2028-12-31 16:16:27.24464178 +0000 UTC // U2
2028-12-31 17:27:46.687390804 +0000 UTC // U3 2028-12-31 17:27:46.214954853 +0000 UTC // U3
2028-12-31 18:36:32.272528112 +0000 UTC // U4 2028-12-31 18:36:32.251235246 +0000 UTC // U4
2028-12-31 19:40:11.173523784 +0000 UTC // P4 2028-12-31 19:40:11.52023971 +0000 UTC // P4
2.29960334 1.25117109 // Chauvenet penumbral and umbral magnitudes 2.2996033397593934 1.2511710895700923 // Chauvenet penumbral and umbral magnitudes
true // local date overlaps an eclipse true // local date overlaps an eclipse
total // local eclipse type total // local eclipse type
2029-01-01 00:52:05.257715537 +0800 CST // greatest eclipse in UTC+8 2029-01-01 00:52:05.566135346 +0800 CST // greatest eclipse in UTC+8
``` ```
#### Checks against NASA data #### Checks against NASA data
@ -1156,20 +1153,20 @@ func main() {
Output: Output:
```text ```text
2019-11-11 23:21:39.702344834 +0800 CST // previous inferior conjunction of Mercury 2019-11-11 23:21:42.048057317 +0800 CST // previous inferior conjunction of Mercury
2021-03-26 14:57:38.289429545 +0800 CST // next superior conjunction of Venus 2021-03-26 14:57:43.01215589 +0800 CST // next superior conjunction of Venus
2019-11-01 04:31:47.807287573 +0800 CST // previous Mercury station from prograde to retrograde 2019-11-01 04:31:38.999851942 +0800 CST // previous Mercury station from prograde to retrograde
2021-12-18 18:59:12.762369811 +0800 CST // next Venus station from retrograde to prograde 2020-06-25 02:07:41.549940705 +0800 CST // next Venus station from retrograde to prograde
2019-10-20 11:59:33.893027007 +0800 CST // previous greatest eastern elongation of Mercury 2019-10-20 11:50:28.734245896 +0800 CST // previous greatest eastern elongation of Mercury
2020-08-13 07:56:02.326616048 +0800 CST // next greatest western elongation of Venus 2020-08-13 07:59:17.123789191 +0800 CST // next greatest western elongation of Venus
2020-01-01 10:01:10.821288228 +0800 CST <nil> // Venus rise time in Xi'an; no error 2020-01-01 10:02:34.172194004 +0800 CST <nil> // Venus rise time in Xi'an; no error
2020-01-01 20:27:00.741534233 +0800 CST <nil> // Venus set time in Xi'an; no error 2020-01-01 20:25:37.363712489 +0800 CST <nil> // Venus set time in Xi'an; no error
-4 // Venus apparent magnitude -4 // Venus apparent magnitude
49.98145049145023 // Venus phase angle, degrees 49.98145049145023 // Venus phase angle, degrees
0.8215177914415865 // illuminated fraction of Venus 0.8215177914415865 // illuminated fraction of Venus
255.63802111818407 // bright-limb position angle of Venus, degrees 255.63802093000768 // bright-limb position angle of Venus, degrees
1.2760033106813273 // Earth-Venus distance, AU 1.2778819631550336 // Earth-Venus distance, AU
0.7262288470390035 // Sun-Venus distance, AU 0.7262651056423838 // Sun-Venus distance, AU
``` ```
Inner and outer planets also expose `Diameter` / `Semidiameter` and `N` variants, returning geocentric apparent diameter/semidiameter in arcseconds. Inner and outer planets also expose `Diameter` / `Semidiameter` and `N` variants, returning geocentric apparent diameter/semidiameter in arcseconds.
@ -1237,22 +1234,22 @@ Output:
```text ```text
true // a valid geocentric Mercury transit was found true // a valid geocentric Mercury transit was found
2019-11-11 12:35:31.637522578 +0000 UTC // first contact: Mercury externally enters the solar disk 2019-11-11 12:35:31.617325544 +0000 UTC // first contact: Mercury externally enters the solar disk
2019-11-11 12:37:12.887506484 +0000 UTC // second contact: Mercury is fully inside the solar disk 2019-11-11 12:37:13.078211545 +0000 UTC // second contact: Mercury is fully inside the solar disk
2019-11-11 15:19:48.430488109 +0000 UTC // greatest transit: Mercury center is closest to the Sun center 2019-11-11 15:19:48.410291075 +0000 UTC // greatest transit: Mercury center is closest to the Sun center
2019-11-11 18:02:29.246907234 +0000 UTC // third contact: Mercury starts leaving the solar disk 2019-11-11 18:02:29.2267102 +0000 UTC // third contact: Mercury starts leaving the solar disk
2019-11-11 18:04:10.707873702 +0000 UTC // fourth contact: Mercury externally leaves the solar disk 2019-11-11 18:04:10.687676668 +0000 UTC // fourth contact: Mercury externally leaves the solar disk
5h28m39.070351124s // geocentric transit duration from first to fourth contact 5h28m39.070351124s // geocentric transit duration from first to fourth contact
75.92460219695154 // minimum Mercury-Sun center separation at greatest transit, arcseconds 75.92506897631685 // minimum Mercury-Sun center separation at greatest transit, arcseconds
968.8881521396688 // solar semidiameter at greatest transit, arcseconds 968.8881520858397 // solar semidiameter at greatest transit, arcseconds
4.978442856283907 // Mercury semidiameter at greatest transit, arcseconds 4.978442860728242 // Mercury semidiameter at greatest transit, arcseconds
true // a valid geocentric Venus transit was found true // a valid geocentric Venus transit was found
2012-06-05 22:09:47.581470608 +0000 UTC // first contact: Venus externally enters the solar disk 2012-06-05 22:09:47.514281272 +0000 UTC // first contact: Venus externally enters the solar disk
2012-06-05 22:27:35.979940295 +0000 UTC // second contact: Venus is fully inside the solar disk 2012-06-05 22:27:35.701768398 +0000 UTC // second contact: Venus is fully inside the solar disk
2012-06-06 01:29:35.686955451 +0000 UTC // greatest transit: Venus center is closest to the Sun center 2012-06-06 01:29:35.408823788 +0000 UTC // greatest transit: Venus center is closest to the Sun center
2012-06-06 04:31:35.18302828 +0000 UTC // third contact: Venus starts leaving the solar disk 2012-06-06 04:31:34.90493685 +0000 UTC // third contact: Venus starts leaving the solar disk
2012-06-06 04:49:23.581457734 +0000 UTC // fourth contact: Venus externally leaves the solar disk 2012-06-06 04:49:23.303366303 +0000 UTC // fourth contact: Venus externally leaves the solar disk
6h39m35.999987126s // geocentric transit duration from first to fourth contact 6h39m35.789085031s // geocentric transit duration from first to fourth contact
``` ```
#### Outer planets #### Outer planets
@ -1315,18 +1312,18 @@ func main() {
Output: Output:
```text ```text
2020-10-14 07:25:47.740884125 +0800 CST // next opposition of Mars 2020-10-14 07:25:50.262777507 +0800 CST // next opposition of Mars
2021-01-29 09:39:30.916356146 +0800 CST // next conjunction of Jupiter 2021-01-29 09:39:33.565426468 +0800 CST // next conjunction of Jupiter
2019-04-30 10:28:27.453395426 +0800 CST // previous Saturn station from prograde to retrograde 2019-04-30 10:27:41.606289446 +0800 CST // previous Saturn station from prograde to retrograde
saturn B=23.577026 Bp=23.266930 P=6.629811 dU=1.171017 major=34.133852 minor=13.652911 // Saturn ring B, B', P, dU, major axis, minor axis saturn B=23.577026 Bp=23.266930 P=6.629811 dU=1.171016 major=34.133852 minor=13.652911 // Saturn ring B, B', P, dU, major axis, minor axis
2021-01-14 21:35:01.269377768 +0800 CST // next Uranus station from retrograde to prograde 2020-01-11 15:23:07.378419935 +0800 CST // next Uranus station from retrograde to prograde
2019-12-08 17:00:13.772284984 +0800 CST // previous eastern quadrature of Neptune 2019-12-08 17:00:15.328663587 +0800 CST // previous eastern quadrature of Neptune
2020-06-07 03:10:57.179121673 +0800 CST // next western quadrature of Mars 2020-06-07 03:10:59.356176853 +0800 CST // next western quadrature of Mars
2020-01-01 04:40:05.409269034 +0800 CST <nil> // Mars rise time in Xi'an; no error 2020-01-01 04:41:29.622089266 +0800 CST <nil> // Mars rise time in Xi'an; no error
2020-01-01 14:56:57.175483703 +0800 CST <nil> // Mars set time in Xi'an; no error 2020-01-01 14:55:32.963870465 +0800 CST <nil> // Mars set time in Xi'an; no error
1.57 // Mars apparent magnitude 1.57 // Mars apparent magnitude
2.1820316323604088 // Earth-Mars distance, AU 2.1844284956325937 // Earth-Mars distance, AU
1.5894169865107062 // Sun-Mars distance, AU 1.5897860004265403 // Sun-Mars distance, AU
``` ```
`saturn.Ring` returns `RingInfo`: `EarthLatitude` is ring opening angle B, `SunLatitude` is B', `PositionAngle` is the position angle of the northern semiminor axis, `DeltaU` is the Saturnicentric longitude difference between the Sun and Earth in the ring plane, and `MajorAxis` / `MinorAxis` are the apparent outer major/minor axes in arcseconds. `saturn.Ring` returns `RingInfo`: `EarthLatitude` is ring opening angle B, `SunLatitude` is B', `PositionAngle` is the position angle of the northern semiminor axis, `DeltaU` is the Saturnicentric longitude difference between the Sun and Earth in the ring plane, and `MajorAxis` / `MinorAxis` are the apparent outer major/minor axes in arcseconds.
@ -1376,7 +1373,7 @@ Output:
```text ```text
jupiter DS=54.342153 DE=1.436485 CMI=292.712909 CMII=276.309048 CMIII=147.241811 // Jupiter DS/DE and System I/II/III central meridians, degrees jupiter DS=54.342153 DE=1.436485 CMI=292.712909 CMII=276.309048 CMIII=147.241811 // Jupiter DS/DE and System I/II/III central meridians, degrees
saturn B=-0.608048 Bp=-2.675677 P=4.480276 major=42.709920 minor=0.453248 // Saturn ring B, B', minor-axis position angle, outer major/minor axes saturn B=-0.608046 Bp=-2.675677 P=4.480276 major=42.709920 minor=0.453246 // Saturn ring B, B', minor-axis position angle, outer major/minor axes
``` ```
If only Jupiter central meridians are needed: If only Jupiter central meridians are needed:
@ -1539,8 +1536,8 @@ Output:
2019-12-31 19:22:56.176710426 +0800 CST // rise time of Sirius 2019-12-31 19:22:56.176710426 +0800 CST // rise time of Sirius
2020-01-01 05:30:39.834894239 +0800 CST // set time of Sirius 2020-01-01 05:30:39.834894239 +0800 CST // set time of Sirius
Canis Major // English constellation containing Sirius Canis Major // English constellation containing Sirius
5h58m10.19s // right ascension of Vega in year 13600 5h58m5.71s // right ascension of Vega in year 13600
84°19′26.25″ // declination of Vega in year 13600 84°19′26.13″ // declination of Vega in year 13600
天狼 Sirius -1.46 // first brightest-star entry: Chinese name, common English name, apparent magnitude 天狼 Sirius -1.46 // first brightest-star entry: Chinese name, common English name, apparent magnitude
``` ```

152
README.md
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@ -309,7 +309,6 @@ func main() {
```text ```text
// 同一公历时刻在三国并立时期会映射到多个政权各自的农历结果 // 同一公历时刻在三国并立时期会映射到多个政权各自的农历结果
[魏明帝 景初三年腊月二十 蜀后主 延熙二年冬月十九 吴大帝 赤乌二年冬月二十] [魏明帝 景初三年腊月二十 蜀后主 延熙二年冬月十九 吴大帝 赤乌二年冬月二十]
// 结构化农历信息输出；每个对象对应一个政权口径下的结果 // 结构化农历信息输出；每个对象对应一个政权口径下的结果
[ [
{ {
@ -370,14 +369,12 @@ func main() {
"chineseZodiac": "羊" "chineseZodiac": "羊"
} }
] ]
// “元丰六年十月十二日”对应的公历日期 // “元丰六年十月十二日”对应的公历日期
1083-11-24 00:00:00 +0800 CST 1083-11-24 00:00:00 +0800 CST
// 同一天在并行政权下还会命中辽道宗大康九年十月十二 // 同一天在并行政权下还会命中辽道宗大康九年十月十二
[宋神宗 元丰六年十月十二 辽道宗 大康九年十月十二] [宋神宗 元丰六年十月十二 辽道宗 大康九年十月十二]
// 现代农历日期转换结果；2026 年正月初一对应 2026-02-17 // 现代农历日期转换结果；2026 年正月初一对应 2026-02-17
2026-02-17 00:00:00 +0800 CST //2026年春节 2026-02-17 00:00:00 +0800 CST
``` ```
#### 节气 #### 节气
@ -407,10 +404,10 @@ func main() {
输出结果 输出结果
``` ```
2020-02-04 17:03:17.820854187 +0800 CST 2020-02-04 17:03:20.471614301 +0800 CST
2020-12-21 18:02:17.568823993 +0800 CST 2020-12-21 18:02:20.648710727 +0800 CST
2020-03-20 11:49:34.502393603 +0800 CST 2020-03-20 11:49:37.149532735 +0800 CST
2020-03-20 11:49:34.502393603 +0800 CST 2020-03-20 11:49:37.149532735 +0800 CST
``` ```
@ -474,14 +471,14 @@ func main() {
输出结果 输出结果
``` ```
2020-01-01 07:22:27.964431345 +0800 CST <nil> 2020-01-01 07:22:27.960488498 +0800 CST <nil>
2020-01-01 07:50:14.534510672 +0800 CST <nil> 2020-01-01 07:50:14.530648291 +0800 CST <nil>
2020-01-01 12:47:35.933117866 +0800 CST 2020-01-01 12:47:35.933117866 +0800 CST
2020-01-01 17:44:47.076647579 +0800 CST <nil> 2020-01-01 17:44:47.070974707 +0800 CST <nil>
2020-01-01 18:12:33.629668056 +0800 CST <nil> 2020-01-01 18:12:33.624035418 +0800 CST <nil>
2020-01-01 11:52:44.643359184 +0800 CST <nil> 2020-01-01 11:52:45.157297253 +0800 CST <nil>
2020-01-01 17:38:03.879639208 +0800 CST 2020-01-01 17:38:02.510787248 +0800 CST
2020-01-01 23:26:52.202896177 +0800 CST <nil> 2020-01-01 23:26:51.580328643 +0800 CST <nil>
``` ```
@ -536,17 +533,16 @@ func main() {
输出结果： 输出结果：
``` ```
280.0152925179703 280.01526210031136
23.436215552851408 23.4362178391013
赤经： 18h43m34.83s 赤纬： -23°3′30.25″ 赤经： 18h43m34.82s 赤纬： -23°3′30.27″
人马座 人马座
方位角： 120.19483856399326 高度角： 2.4014324584398516 天顶距： 87.59856754156014 方位角： 120.19477090015224 高度角： 2.4014437419430097 天顶距： 87.59855625805699
0.9832929365443133 0.983292937163176
赤经： 23h17m53.15s 赤纬： -10°19′18.57″
赤经： 23h17m51.93s 赤纬： -10°19′17.02″
宝瓶座 宝瓶座
方位角： 67.84449893794012 高度角： -45.13018696439911 天顶距： 135.13018696439912 方位角： 67.84050700509859 高度角： -45.13425530765482 天顶距： 135.13425530765483
404238.6354387698 404238.6096080479
``` ```
太阳还提供 `sun.Physical` / `sun.PhysicalN`，返回： 太阳还提供 `sun.Physical` / `sun.PhysicalN`，返回：
@ -683,12 +679,12 @@ func main() {
输出结果： 输出结果：
``` ```
0.3000437415436273 // 月面约有 30% 被太阳照亮 0.300041309608744 // 月面约有 30% 被太阳照亮
上峨眉月 // 当前月相描述 上峨眉月 // 当前月相描述
2020-01-25 05:41:55.820311009 +0800 CST // 下一次朔月 2020-01-25 05:41:58.271192908 +0800 CST // 下一次朔月
2020-01-03 12:45:20.809730887 +0800 CST // 下一次上弦 2020-01-03 12:45:23.229190707 +0800 CST // 下一次上弦
2020-01-11 03:21:14.729664623 +0800 CST // 下一次望月，也就是满月 2020-01-11 03:21:17.159625291 +0800 CST // 下一次望月，也就是满月
2020-01-17 20:58:20.955985486 +0800 CST // 下一次下弦 2020-01-17 20:58:23.396406769 +0800 CST // 下一次下弦
``` ```
月相四个相位同时提供拼音名和英文 alias，例如： 月相四个相位同时提供拼音名和英文 alias，例如：
@ -1074,18 +1070,18 @@ func main() {
```text ```text
total total
true {125 49 72} true {125 49 72}
2028-12-31 16:52:05.257715537 +0000 UTC 2028-12-31 16:52:05.566135346 +0000 UTC
2.273989043 1.246114288 2.273989043382249 1.2461142882946992
2028-12-31 14:03:54.163612125 +0000 UTC 2028-12-31 14:03:54.219463169 +0000 UTC
2028-12-31 15:07:42.293254197 +0000 UTC 2028-12-31 15:07:42.115980684 +0000 UTC
2028-12-31 16:16:27.717077732 +0000 UTC 2028-12-31 16:16:27.24464178 +0000 UTC
2028-12-31 17:27:46.687390804 +0000 UTC 2028-12-31 17:27:46.214954853 +0000 UTC
2028-12-31 18:36:32.272528112 +0000 UTC 2028-12-31 18:36:32.251235246 +0000 UTC
2028-12-31 19:40:11.173523784 +0000 UTC 2028-12-31 19:40:11.52023971 +0000 UTC
2.29960334 1.25117109 2.2996033397593934 1.2511710895700923
true true
total total
2029-01-01 00:52:05.257715537 +0800 CST 2029-01-01 00:52:05.566135346 +0800 CST
``` ```
##### 与 NASA 数据对照 ##### 与 NASA 数据对照
@ -1232,20 +1228,20 @@ func main() {
输出结果： 输出结果：
``` ```
2019-11-11 23:21:39.702344834 +0800 CST // 水星上次下合 2019-11-11 23:21:42.048057317 +0800 CST // 水星上次下合
2021-03-26 14:57:38.289429545 +0800 CST // 金星下次上合 2021-03-26 14:57:43.01215589 +0800 CST // 金星下次上合
2019-11-01 04:31:47.807287573 +0800 CST // 水星上次由顺行转逆行的留 2019-11-01 04:31:38.999851942 +0800 CST // 水星上次由顺行转逆行的留
2021-12-18 18:59:12.762369811 +0800 CST // 金星下次由逆行转顺行的留 2020-06-25 02:07:41.549940705 +0800 CST // 金星下次由逆行转顺行的留
2019-10-20 11:59:33.893027007 +0800 CST // 水星上次东大距 2019-10-20 11:50:28.734245896 +0800 CST // 水星上次东大距
2020-08-13 07:56:02.326616048 +0800 CST // 金星下次西大距 2020-08-13 07:59:17.123789191 +0800 CST // 金星下次西大距
2020-01-01 10:01:10.821288228 +0800 CST <nil> // 西安当天金星升起时刻；无错误 2020-01-01 10:02:34.172194004 +0800 CST <nil> // 西安当天金星升起时刻；无错误
2020-01-01 20:27:00.741534233 +0800 CST <nil> // 西安当天金星落下时刻；无错误 2020-01-01 20:25:37.363712489 +0800 CST <nil> // 西安当天金星落下时刻；无错误
-4 // 金星视星等 -4 // 金星视星等
49.98145049145023 // 金星相位角，单位度 49.98145049145023 // 金星相位角，单位度
0.8215177914415865 // 金星被照亮比例 0.8215177914415865 // 金星被照亮比例
255.63802111818407 // 金星亮面中心位置角，单位度 255.63802093000768 // 金星亮面中心位置角，单位度
1.2760033106813273 // 金地距离，单位 AU 1.2778819631550336 // 金地距离，单位 AU
0.7262288470390035 // 金日距离，单位 AU 0.7262651056423838 // 金日距离，单位 AU
``` ```
内外行星同样提供 `Diameter` / `Semidiameter`（以及 `N` 版），返回地心视直径/视半径，单位为角秒。 内外行星同样提供 `Diameter` / `Semidiameter`（以及 `N` 版），返回地心视直径/视半径，单位为角秒。
@ -1313,22 +1309,22 @@ func main() {
```text ```text
true // 找到一次有效的地心水星凌日 true // 找到一次有效的地心水星凌日
2019-11-11 12:35:31.637522578 +0000 UTC // 一触：水星外切进入太阳圆面 2019-11-11 12:35:31.617325544 +0000 UTC // 一触：水星外切进入太阳圆面
2019-11-11 12:37:12.887506484 +0000 UTC // 二触：水星完全进入太阳圆面 2019-11-11 12:37:13.078211545 +0000 UTC // 二触：水星完全进入太阳圆面
2019-11-11 15:19:48.430488109 +0000 UTC // 凌甚：水星中心最接近太阳中心 2019-11-11 15:19:48.410291075 +0000 UTC // 凌甚：水星中心最接近太阳中心
2019-11-11 18:02:29.246907234 +0000 UTC // 三触：水星开始离开太阳圆面 2019-11-11 18:02:29.2267102 +0000 UTC // 三触：水星开始离开太阳圆面
2019-11-11 18:04:10.707873702 +0000 UTC // 四触：水星外切离开太阳圆面 2019-11-11 18:04:10.687676668 +0000 UTC // 四触：水星外切离开太阳圆面
5h28m39.070351124s // 一触到四触的地心凌日持续时间 5h28m39.070351124s // 一触到四触的地心凌日持续时间
75.92460219695154 // 凌甚时水星中心与太阳中心的最小角距离，单位角秒 75.92506897631685 // 凌甚时水星中心与太阳中心的最小角距离，单位角秒
968.8881521396688 // 凌甚时太阳视半径，单位角秒 968.8881520858397 // 凌甚时太阳视半径，单位角秒
4.978442856283907 // 凌甚时水星视半径，单位角秒 4.978442860728242 // 凌甚时水星视半径，单位角秒
true // 找到一次有效的地心金星凌日 true // 找到一次有效的地心金星凌日
2012-06-05 22:09:47.581470608 +0000 UTC // 一触：金星外切进入太阳圆面 2012-06-05 22:09:47.514281272 +0000 UTC // 一触：金星外切进入太阳圆面
2012-06-05 22:27:35.979940295 +0000 UTC // 二触：金星完全进入太阳圆面 2012-06-05 22:27:35.701768398 +0000 UTC // 二触：金星完全进入太阳圆面
2012-06-06 01:29:35.686955451 +0000 UTC // 凌甚：金星中心最接近太阳中心 2012-06-06 01:29:35.408823788 +0000 UTC // 凌甚：金星中心最接近太阳中心
2012-06-06 04:31:35.18302828 +0000 UTC // 三触：金星开始离开太阳圆面 2012-06-06 04:31:34.90493685 +0000 UTC // 三触：金星开始离开太阳圆面
2012-06-06 04:49:23.581457734 +0000 UTC // 四触：金星外切离开太阳圆面 2012-06-06 04:49:23.303366303 +0000 UTC // 四触：金星外切离开太阳圆面
6h39m35.999987126s // 一触到四触的地心凌日持续时间 6h39m35.789085031s // 一触到四触的地心凌日持续时间
``` ```
#### 外行星 #### 外行星
@ -1390,18 +1386,18 @@ func main() {
输出结果： 输出结果：
``` ```
2020-10-14 07:25:47.740884125 +0800 CST // 火星下次冲日 2020-10-14 07:25:50.262777507 +0800 CST // 火星下次冲日
2021-01-29 09:39:30.916356146 +0800 CST // 木星下次合日 2021-01-29 09:39:33.565426468 +0800 CST // 木星下次合日
2019-04-30 10:28:27.453395426 +0800 CST // 土星上次由顺行转逆行的留 2019-04-30 10:27:41.606289446 +0800 CST // 土星上次由顺行转逆行的留
saturn B=23.577026 Bp=23.266930 P=6.629811 dU=1.171017 major=34.133852 minor=13.652911 // 土星环 B、B'、P、dU、长轴、短轴 saturn B=23.577026 Bp=23.266930 P=6.629811 dU=1.171016 major=34.133852 minor=13.652911 // 土星环 B、B'、P、dU、长轴、短轴
2021-01-14 21:35:01.269377768 +0800 CST // 天王星下次由逆行转顺行的留 2020-01-11 15:23:07.378419935 +0800 CST // 天王星下次由逆行转顺行的留
2019-12-08 17:00:13.772284984 +0800 CST // 海王星上次东方照 2019-12-08 17:00:15.328663587 +0800 CST // 海王星上次东方照
2020-06-07 03:10:57.179121673 +0800 CST // 火星下次西方照 2020-06-07 03:10:59.356176853 +0800 CST // 火星下次西方照
2020-01-01 04:40:05.409269034 +0800 CST <nil> // 西安当天火星升起时刻；无错误 2020-01-01 04:41:29.622089266 +0800 CST <nil> // 西安当天火星升起时刻；无错误
2020-01-01 14:56:57.175483703 +0800 CST <nil> // 西安当天火星落下时刻；无错误 2020-01-01 14:55:32.963870465 +0800 CST <nil> // 西安当天火星落下时刻；无错误
1.57 // 火星视星等 1.57 // 火星视星等
2.1820316323604088 // 地火距离，单位 AU 2.1844284956325937 // 地火距离，单位 AU
1.5894169865107062 // 日火距离，单位 AU 1.5897860004265403 // 日火距离，单位 AU
``` ```
@ -1452,7 +1448,7 @@ func main() {
```text ```text
jupiter DS=54.342153 DE=1.436485 CMI=292.712909 CMII=276.309048 CMIII=147.241811 // 木星子日/子地赤纬，System I/II/III 中央经线，单位度 jupiter DS=54.342153 DE=1.436485 CMI=292.712909 CMII=276.309048 CMIII=147.241811 // 木星子日/子地赤纬，System I/II/III 中央经线，单位度
saturn B=-0.608048 Bp=-2.675677 P=4.480276 major=42.709920 minor=0.453248 // 土星环 B、B'、短轴位置角、外缘长短轴，角度单位度，长短轴单位角秒 saturn B=-0.608046 Bp=-2.675677 P=4.480276 major=42.709920 minor=0.453246 // 土星环 B、B'、短轴位置角、外缘长短轴，角度单位度，长短轴单位角秒
``` ```
只需要中央经线时，可以单独调用 `CentralMeridians`： 只需要中央经线时，可以单独调用 `CentralMeridians`：
@ -1619,8 +1615,8 @@ func main() {
2019-12-31 19:22:56.176710426 +0800 CST // 天狼星升起时刻 2019-12-31 19:22:56.176710426 +0800 CST // 天狼星升起时刻
2020-01-01 05:30:39.834894239 +0800 CST // 天狼星落下时刻 2020-01-01 05:30:39.834894239 +0800 CST // 天狼星落下时刻
大犬座 // 天狼星所在星座 大犬座 // 天狼星所在星座
5h58m10.19s // 织女一在公元 13600 年的赤经 5h58m5.71s // 织女一在公元 13600 年的赤经
84°19′26.25″ // 织女一在公元 13600 年的赤纬 84°19′26.13″ // 织女一在公元 13600 年的赤纬
天狼 Sirius -1.46 // 最亮恒星表第一项：中文名、英文常用名、视星等 天狼 Sirius -1.46 // 最亮恒星表第一项：中文名、英文常用名、视星等
``` ```

76
basic/event_boundary.go Normal file
View File

@ -0,0 +1,76 @@
package basic
import "math"
const exactEventTolerance = 2.0 / 86400.0
func sameEventJD(a, b float64) bool {
return math.Abs(a-b) <= exactEventTolerance
}
func sameEventUTQueryTT(eventUT, queryTT float64) bool {
return math.Abs(eventUTQueryTTDelta(eventUT, queryTT)) <= exactEventTolerance
}
func closestEventUTToQueryTT(queryTT, best float64, candidates ...float64) float64 {
bestAbs := math.Abs(eventUTQueryTTDelta(best, queryTT))
for _, candidate := range candidates {
candidateAbs := math.Abs(eventUTQueryTTDelta(candidate, queryTT))
if candidateAbs < bestAbs {
best = candidate
bestAbs = candidateAbs
}
}
return best
}
type phaseEventSearchFunc func(jde, degree float64, next uint8) float64
type simpleEventSearchFunc func(jde float64) float64
func inclusiveLastPhaseEvent(jde, degree float64, fn phaseEventSearchFunc) float64 {
last := fn(jde, degree, 0)
next := fn(jde, degree, 1)
if eventUTQueryBeforeOrEqual(next, jde) && eventUTQueryAfterOrEqual(next, jde) {
return next
}
if eventUTQueryBeforeOrEqual(last, jde) {
return last
}
return last
}
func inclusiveNextPhaseEvent(jde, degree float64, fn phaseEventSearchFunc) float64 {
last := fn(jde, degree, 0)
if eventUTQueryBeforeOrEqual(last, jde) && eventUTQueryAfterOrEqual(last, jde) {
return last
}
next := fn(jde, degree, 1)
if eventUTQueryAfterOrEqual(next, jde) {
return next
}
return next
}
func inclusiveLastSimpleEvent(jde float64, lastFn, nextFn simpleEventSearchFunc) float64 {
last := lastFn(jde)
next := nextFn(jde)
if eventUTQueryBeforeOrEqual(next, jde) && eventUTQueryAfterOrEqual(next, jde) {
return next
}
if eventUTQueryBeforeOrEqual(last, jde) {
return last
}
return last
}
func inclusiveNextSimpleEvent(jde float64, lastFn, nextFn simpleEventSearchFunc) float64 {
last := lastFn(jde)
if eventUTQueryBeforeOrEqual(last, jde) && eventUTQueryAfterOrEqual(last, jde) {
return last
}
next := nextFn(jde)
if eventUTQueryAfterOrEqual(next, jde) {
return next
}
return next
}

4
basic/event_refine.go
View File

@ -40,9 +40,7 @@ func eventZeroBracket(leftJD, leftVal, centerJD, centerVal, rightJD, rightVal fl
return 0, 0, 0, 0, false return 0, 0, 0, 0, false
} }
// eventZeroRefine 细化 seed 附近的零点；若找不到可用括号区间，则退回旧的固定步长扫描。 // eventZeroRefine 细化 seed 附近的零点；无可用括号区间时退回固定步长扫描。
// eventZeroRefine refines a nearby zero crossing and falls back to the legacy
// fixed-step scan when no usable bracket is found.
func eventZeroRefine(seed, halfWindow, step float64, fn func(float64) float64) float64 { func eventZeroRefine(seed, halfWindow, step float64, fn func(float64) float64) float64 {
leftJD := seed - halfWindow leftJD := seed - halfWindow
centerJD := seed centerJD := seed

183
basic/inner_event_window.go Normal file
View File

@ -0,0 +1,183 @@
package basic
import "math"
const innerEventEpsilon = 4.0 / 86400.0
func eventQueryTTAsUT(queryTT float64) float64 {
return TD2UT(queryTT, false)
}
func eventUTQueryTTDelta(eventUT, queryTT float64) float64 {
return eventUT - eventQueryTTAsUT(queryTT)
}
func eventUTQueryBeforeOrEqual(eventUT, queryTT float64) bool {
return eventUTQueryTTDelta(eventUT, queryTT) <= innerEventEpsilon
}
func eventUTQueryAfterOrEqual(eventUT, queryTT float64) bool {
return eventUTQueryTTDelta(eventUT, queryTT) >= -innerEventEpsilon
}
func eventUTNextQueryTT(eventUT float64) float64 {
return TD2UT(eventUT, true) + 1.0
}
func eventUTLastQueryTT(eventUT float64) float64 {
return TD2UT(eventUT, true) - 1.0
}
func innerNextCycleOffset(delta, period float64) float64 {
if delta <= 0 {
return -delta * period / 360.0
}
return (360.0 - delta) * period / 360.0
}
func innerLastCycleOffset(delta, period float64) float64 {
if delta >= 0 {
return delta * period / 360.0
}
return (360.0 + delta) * period / 360.0
}
func clampFloat64(v, min, max float64) float64 {
if v < min {
return min
}
if v > max {
return max
}
return v
}
func scanWindowForMinAbs(start, end, step float64, fn func(float64) float64) float64 {
if end < start {
start, end = end, start
}
if step <= 0 || end == start {
return start
}
bestJD := start
bestAbs := math.Abs(fn(start))
for jd := start + step; jd < end; jd += step {
candidateAbs := math.Abs(fn(jd))
if candidateAbs < bestAbs {
bestAbs = candidateAbs
bestJD = jd
}
}
endAbs := math.Abs(fn(end))
if endAbs < bestAbs {
return end
}
return bestJD
}
func scanWindowForMax(start, end, step float64, fn func(float64) float64) float64 {
if end < start {
start, end = end, start
}
if step <= 0 || end == start {
return start
}
bestJD := start
bestVal := fn(start)
for jd := start + step; jd < end; jd += step {
candidateVal := fn(jd)
if candidateVal > bestVal {
bestVal = candidateVal
bestJD = jd
}
}
endVal := fn(end)
if endVal > bestVal {
return end
}
return bestJD
}
func boundedEventZeroRefine(seed, start, end, halfWindow, step float64, fn func(float64) float64) float64 {
if end < start {
start, end = end, start
}
if end <= start {
return start
}
maxHalfWindow := (end - start) / 2
if halfWindow > maxHalfWindow {
halfWindow = maxHalfWindow
}
if halfWindow <= 0 {
return clampFloat64(seed, start, end)
}
seed = clampFloat64(seed, start+halfWindow, end-halfWindow)
return eventZeroRefine(seed, halfWindow, step, fn)
}
func zeroEventInWindow(start, end, coarseStep, halfWindow, refineStep float64, coarseFn, exactFn func(float64) float64) float64 {
if end < start {
start, end = end, start
}
if end <= start {
return start
}
rangeDays := end - start
if coarseStep <= 0 || coarseStep > rangeDays {
coarseStep = rangeDays / 6.0
}
if coarseStep < 0.5 {
coarseStep = 0.5
}
if refineStep <= 0 {
refineStep = 0.5 / 86400.0
}
if halfWindow <= 0 {
halfWindow = coarseStep
}
guess := scanWindowForMinAbs(start, end, coarseStep, coarseFn)
return boundedEventZeroRefine(guess, start, end, halfWindow, refineStep, exactFn)
}
func maximizeInWindow(start, end, coarseStep float64, coarseFn, exactFn func(float64) float64) float64 {
if end < start {
start, end = end, start
}
if end <= start {
return start
}
rangeDays := end - start
if coarseStep <= 0 || coarseStep > rangeDays {
coarseStep = rangeDays / 6.0
}
if coarseStep < 0.5 {
coarseStep = 0.5
}
guess := scanWindowForMax(start, end, coarseStep, coarseFn)
left := clampFloat64(guess-coarseStep, start, end)
right := clampFloat64(guess+coarseStep, start, end)
if right-left <= innerEventEpsilon {
return guess
}
for i := 0; i < 20; i++ {
third := (right - left) / 3.0
leftThird := left + third
rightThird := right - third
if exactFn(leftThird) <= exactFn(rightThird) {
left = leftThird
continue
}
right = rightThird
}
bestJD := guess
bestVal := exactFn(bestJD)
for _, jd := range []float64{left, (left + right) / 2.0, right} {
candidateVal := exactFn(jd)
if candidateVal > bestVal {
bestVal = candidateVal
bestJD = jd
}
}
return bestJD
}

45
basic/inner_planet_event_boundary_test.go Normal file
View File

@ -0,0 +1,45 @@
package basic
import "testing"
func TestInnerPlanetExactEventBoundaryIncludesCurrent(t *testing.T) {
cases := []struct {
name string
seed float64
lastFn func(float64) float64
nextFn func(float64) float64
}{
{name: "MercuryConjunction", seed: NextMercuryConjunction(ttjdUTC(2026, 1, 1, 0, 0, 0)), lastFn: LastMercuryConjunction, nextFn: NextMercuryConjunction},
{name: "MercuryInferior", seed: NextMercuryInferiorConjunctionInclusive(ttjdUTC(2026, 1, 1, 0, 0, 0)), lastFn: LastMercuryInferiorConjunctionInclusive, nextFn: NextMercuryInferiorConjunctionInclusive},
{name: "MercurySuperior", seed: NextMercurySuperiorConjunctionInclusive(ttjdUTC(2026, 1, 1, 0, 0, 0)), lastFn: LastMercurySuperiorConjunctionInclusive, nextFn: NextMercurySuperiorConjunctionInclusive},
{name: "MercuryRetrograde", seed: NextMercuryRetrogradeInclusive(ttjdUTC(2026, 1, 1, 0, 0, 0)), lastFn: LastMercuryRetrogradeInclusive, nextFn: NextMercuryRetrogradeInclusive},
{name: "MercuryP2R", seed: NextMercuryProgradeToRetrogradeInclusive(ttjdUTC(2026, 1, 1, 0, 0, 0)), lastFn: LastMercuryProgradeToRetrogradeInclusive, nextFn: NextMercuryProgradeToRetrogradeInclusive},
{name: "MercuryR2P", seed: NextMercuryRetrogradeToProgradeInclusive(ttjdUTC(2026, 1, 1, 0, 0, 0)), lastFn: LastMercuryRetrogradeToProgradeInclusive, nextFn: NextMercuryRetrogradeToProgradeInclusive},
{name: "MercuryGreatestElongation", seed: NextMercuryGreatestElongationInclusive(ttjdUTC(2026, 1, 1, 0, 0, 0)), lastFn: LastMercuryGreatestElongationInclusive, nextFn: NextMercuryGreatestElongationInclusive},
{name: "MercuryEastElongation", seed: NextMercuryGreatestElongationEastInclusive(ttjdUTC(2026, 1, 1, 0, 0, 0)), lastFn: LastMercuryGreatestElongationEastInclusive, nextFn: NextMercuryGreatestElongationEastInclusive},
{name: "MercuryWestElongation", seed: NextMercuryGreatestElongationWestInclusive(ttjdUTC(2026, 1, 1, 0, 0, 0)), lastFn: LastMercuryGreatestElongationWestInclusive, nextFn: NextMercuryGreatestElongationWestInclusive},
{name: "VenusConjunction", seed: NextVenusConjunction(ttjdUTC(2026, 1, 1, 0, 0, 0)), lastFn: LastVenusConjunction, nextFn: NextVenusConjunction},
{name: "VenusInferior", seed: NextVenusInferiorConjunctionInclusive(ttjdUTC(2026, 1, 1, 0, 0, 0)), lastFn: LastVenusInferiorConjunctionInclusive, nextFn: NextVenusInferiorConjunctionInclusive},
{name: "VenusSuperior", seed: NextVenusSuperiorConjunctionInclusive(ttjdUTC(2026, 1, 1, 0, 0, 0)), lastFn: LastVenusSuperiorConjunctionInclusive, nextFn: NextVenusSuperiorConjunctionInclusive},
{name: "VenusRetrograde", seed: NextVenusRetrogradeInclusive(ttjdUTC(2026, 1, 1, 0, 0, 0)), lastFn: LastVenusRetrogradeInclusive, nextFn: NextVenusRetrogradeInclusive},
{name: "VenusP2R", seed: NextVenusProgradeToRetrogradeInclusive(ttjdUTC(2026, 1, 1, 0, 0, 0)), lastFn: LastVenusProgradeToRetrogradeInclusive, nextFn: NextVenusProgradeToRetrogradeInclusive},
{name: "VenusR2P", seed: NextVenusRetrogradeToProgradeInclusive(ttjdUTC(2026, 1, 1, 0, 0, 0)), lastFn: LastVenusRetrogradeToProgradeInclusive, nextFn: NextVenusRetrogradeToProgradeInclusive},
{name: "VenusGreatestElongation", seed: NextVenusGreatestElongationInclusive(ttjdUTC(2026, 1, 1, 0, 0, 0)), lastFn: LastVenusGreatestElongationInclusive, nextFn: NextVenusGreatestElongationInclusive},
{name: "VenusEastElongation", seed: NextVenusGreatestElongationEastInclusive(ttjdUTC(2026, 1, 1, 0, 0, 0)), lastFn: LastVenusGreatestElongationEastInclusive, nextFn: NextVenusGreatestElongationEastInclusive},
{name: "VenusWestElongation", seed: NextVenusGreatestElongationWestInclusive(ttjdUTC(2026, 1, 1, 0, 0, 0)), lastFn: LastVenusGreatestElongationWestInclusive, nextFn: NextVenusGreatestElongationWestInclusive},
}
for _, tc := range cases {
t.Run(tc.name, func(t *testing.T) {
queryTT := TD2UT(tc.seed, true)
last := tc.lastFn(queryTT)
next := tc.nextFn(queryTT)
if !sameEventJD(last, tc.seed) {
t.Fatalf("last exact boundary mismatch: got %.12f want %.12f", last, tc.seed)
}
if !sameEventJD(next, tc.seed) {
t.Fatalf("next exact boundary mismatch: got %.12f want %.12f", next, tc.seed)
}
})
}
}

165
basic/inner_planet_truth_test.go Normal file
View File

@ -0,0 +1,165 @@
package basic
import (
"encoding/json"
"os"
"strings"
"testing"
"time"
)
type innerBaselineFile struct {
Events []innerBaselineEvent `json:"events"`
}
type innerBaselineEvent struct {
Planet string `json:"planet"`
Kind string `json:"kind"`
NAOJHintJST string `json:"naoj_hint_jst"`
Precision string `json:"precision"`
CandidateJST string `json:"candidate_jst"`
VerifiedJST string `json:"verified_jst"`
CandidateSource string `json:"candidate_source"`
}
func loadInnerBaseline(t *testing.T) innerBaselineFile {
t.Helper()
paths := [][]string{
{
"testdata/jpl_inner_event_baseline.json",
"basic/testdata/jpl_inner_event_baseline.json",
},
{
"testdata/jpl_inner_event_baseline_21c_sample.json",
"basic/testdata/jpl_inner_event_baseline_21c_sample.json",
},
{
"testdata/jpl_inner_event_baseline_20c_sample.json",
"basic/testdata/jpl_inner_event_baseline_20c_sample.json",
},
{
"testdata/jpl_inner_event_baseline_22c_sample.json",
"basic/testdata/jpl_inner_event_baseline_22c_sample.json",
},
}
var merged innerBaselineFile
for index, candidates := range paths {
var (
data []byte
err error
)
for _, path := range candidates {
data, err = os.ReadFile(path)
if err == nil {
var baseline innerBaselineFile
if err := json.Unmarshal(data, &baseline); err != nil {
t.Fatal(err)
}
merged.Events = append(merged.Events, baseline.Events...)
break
}
}
if err != nil && index == 0 {
t.Fatal(err)
}
}
if len(merged.Events) == 0 {
t.Fatal("empty inner baseline file")
}
return merged
}
func parseInnerBaselineTime(t *testing.T, value string) time.Time {
t.Helper()
loc := time.FixedZone("JST", 9*3600)
layouts := []string{
"2006-01-02 15:04:05 MST",
"2006-01-02 15:04 MST",
"2006-01-02 15:04:05",
"2006-01-02 15:04",
}
var err error
for _, layout := range layouts {
when, parseErr := time.ParseInLocation(layout, value, loc)
if parseErr == nil {
return when
}
err = parseErr
}
t.Fatalf("parse baseline time %q: %v", value, err)
return time.Time{}
}
func innerBaselineTolerance(event innerBaselineEvent) time.Duration {
switch event.Kind {
case "IC", "SC", "P2R", "R2P":
return 2 * time.Minute
case "GEE", "GEW":
return 90 * time.Minute
default:
return 2 * time.Minute
}
}
func innerEventFuncs(t *testing.T, event innerBaselineEvent) (func(float64) float64, func(float64) float64) {
t.Helper()
switch event.Planet + ":" + event.Kind {
case "Mercury:IC":
return LastMercuryInferiorConjunctionInclusive, NextMercuryInferiorConjunctionInclusive
case "Mercury:SC":
return LastMercurySuperiorConjunctionInclusive, NextMercurySuperiorConjunctionInclusive
case "Mercury:P2R":
return LastMercuryProgradeToRetrogradeInclusive, NextMercuryProgradeToRetrogradeInclusive
case "Mercury:R2P":
return LastMercuryRetrogradeToProgradeInclusive, NextMercuryRetrogradeToProgradeInclusive
case "Mercury:GEE":
return LastMercuryGreatestElongationEastInclusive, NextMercuryGreatestElongationEastInclusive
case "Mercury:GEW":
return LastMercuryGreatestElongationWestInclusive, NextMercuryGreatestElongationWestInclusive
case "Venus:IC":
return LastVenusInferiorConjunctionInclusive, NextVenusInferiorConjunctionInclusive
case "Venus:SC":
return LastVenusSuperiorConjunctionInclusive, NextVenusSuperiorConjunctionInclusive
case "Venus:P2R":
return LastVenusProgradeToRetrogradeInclusive, NextVenusProgradeToRetrogradeInclusive
case "Venus:R2P":
return LastVenusRetrogradeToProgradeInclusive, NextVenusRetrogradeToProgradeInclusive
case "Venus:GEE":
return LastVenusGreatestElongationEastInclusive, NextVenusGreatestElongationEastInclusive
case "Venus:GEW":
return LastVenusGreatestElongationWestInclusive, NextVenusGreatestElongationWestInclusive
default:
t.Fatalf("unsupported event %s:%s", event.Planet, event.Kind)
return nil, nil
}
}
func assertInnerBaselineEvent(t *testing.T, event innerBaselineEvent, lastFn, nextFn func(float64) float64) {
t.Helper()
when := parseInnerBaselineTime(t, event.VerifiedJST)
before := when.Add(-24 * time.Hour)
after := when.Add(24 * time.Hour)
next := JDE2DateByZone(nextFn(toUTJD(before)), when.Location(), false)
last := JDE2DateByZone(lastFn(toUTJD(after)), when.Location(), false)
tolerance := innerBaselineTolerance(event)
if diff := next.Sub(when); diff < -tolerance || diff > tolerance {
t.Fatalf("%s %s next mismatch: got %s want %s tol=%s hint=%s candidate=%s via=%s", event.Planet, event.Kind, next, when, tolerance, event.NAOJHintJST, event.CandidateJST, event.CandidateSource)
}
if diff := last.Sub(when); diff < -tolerance || diff > tolerance {
t.Fatalf("%s %s last mismatch: got %s want %s tol=%s hint=%s candidate=%s via=%s", event.Planet, event.Kind, last, when, tolerance, event.NAOJHintJST, event.CandidateJST, event.CandidateSource)
}
}
func TestInnerPlanetTruthAgainstJPL(t *testing.T) {
baseline := loadInnerBaseline(t)
for _, event := range baseline.Events {
event := event
name := strings.Join([]string{event.Planet, event.Kind, event.VerifiedJST}, "_")
t.Run(name, func(t *testing.T) {
lastFn, nextFn := innerEventFuncs(t, event)
assertInnerBaselineEvent(t, event, lastFn, nextFn)
})
}
}

45
basic/jupiter.go
View File

@ -87,53 +87,22 @@ func JupiterApparentRaDec(jd float64) (float64, float64) {
} }
func EarthJupiterAway(jd float64) float64 { func EarthJupiterAway(jd float64) float64 {
x, y, z := AJupiterXYZ(jd) return planetEarthAwayExplicitN(4, jd, -1)
to := math.Sqrt(x*x + y*y + z*z)
return to
} }
func JupiterApparentLo(jd float64) float64 { func JupiterApparentLo(jd float64) float64 {
x, y, z := AJupiterXYZ(jd) geo, _ := planetApparentGeocentricPositionN(4, jd, -1)
to := 0.0057755183 * math.Sqrt(x*x+y*y+z*z) return geo.lo
x, y, z = AJupiterXYZ(jd - to)
lo := math.Atan2(y, x)
bo := math.Atan2(z, math.Sqrt(x*x+y*y))
lo = lo * 180 / math.Pi
bo = bo * 180 / math.Pi
lo = Limit360(lo)
//lo-=GXCLo(lo,bo,jd)/3600;
//bo+=GXCBo(lo,bo,jd);
lo += Nutation2000Bi(jd)
return lo
} }
func JupiterApparentBo(jd float64) float64 { func JupiterApparentBo(jd float64) float64 {
x, y, z := AJupiterXYZ(jd) geo, _ := planetApparentGeocentricPositionN(4, jd, -1)
to := 0.0057755183 * math.Sqrt(x*x+y*y+z*z) return geo.bo
x, y, z = AJupiterXYZ(jd - to)
//lo := math.Atan2(y, x)
bo := math.Atan2(z, math.Sqrt(x*x+y*y))
//lo = lo * 180 / math.Pi
bo = bo * 180 / math.Pi
//lo+=GXCLo(lo,bo,jd);
//bo+=GXCBo(lo,bo,jd)/3600;
//lo+=Nutation2000Bi(jd);
return bo
} }
func JupiterApparentLoBo(jd float64) (float64, float64) { func JupiterApparentLoBo(jd float64) (float64, float64) {
x, y, z := AJupiterXYZ(jd) geo, _ := planetApparentGeocentricPositionN(4, jd, -1)
to := 0.0057755183 * math.Sqrt(x*x+y*y+z*z) return geo.lo, geo.bo
x, y, z = AJupiterXYZ(jd - to)
lo := math.Atan2(y, x)
bo := math.Atan2(z, math.Sqrt(x*x+y*y))
lo = lo * 180 / math.Pi
bo = bo * 180 / math.Pi
lo = Limit360(lo)
//lo-=GXCLo(lo,bo,jd)/3600;
//bo+=GXCBo(lo,bo,jd);
lo += Nutation2000Bi(jd)
return lo, bo
} }
func JupiterMag(jd float64) float64 { func JupiterMag(jd float64) float64 {

131
basic/jupiter_events.go
View File

@ -40,6 +40,28 @@ func jupiterSunLongitudeDeltaN(jde, degree float64, filter bool, n int) float64
return sub return sub
} }
func jupiterRADerivative(jde, delta float64) float64 {
sub := JupiterApparentRa(jde+delta) - JupiterApparentRa(jde-delta)
if sub > 180 {
sub -= 360
}
if sub < -180 {
sub += 360
}
return sub / (2 * delta)
}
func jupiterRADerivativeN(jde, delta float64, n int) float64 {
sub := JupiterApparentRaN(jde+delta, n) - JupiterApparentRaN(jde-delta, n)
if sub > 180 {
sub -= 360
}
if sub < -180 {
sub += 360
}
return sub / (2 * delta)
}
func jupiterConjunctionFull(jde, degree float64, next uint8) float64 { func jupiterConjunctionFull(jde, degree float64, next uint8) float64 {
//0=last 1=next //0=last 1=next
daysPerDegree := JUPITER_S_PERIOD / 360 daysPerDegree := JUPITER_S_PERIOD / 360
@ -94,113 +116,92 @@ func jupiterConjunction(jde, degree float64, next uint8) float64 {
} }
func LastJupiterConjunction(jde float64) float64 { func LastJupiterConjunction(jde float64) float64 {
return jupiterConjunction(jde, 0, 0) return inclusiveLastPhaseEvent(jde, 0, jupiterConjunction)
} }
func NextJupiterConjunction(jde float64) float64 { func NextJupiterConjunction(jde float64) float64 {
return jupiterConjunction(jde, 0, 1) return inclusiveNextPhaseEvent(jde, 0, jupiterConjunction)
} }
func LastJupiterOpposition(jde float64) float64 { func LastJupiterOpposition(jde float64) float64 {
return jupiterConjunction(jde, 180, 0) return inclusiveLastPhaseEvent(jde, 180, jupiterConjunction)
} }
func NextJupiterOpposition(jde float64) float64 { func NextJupiterOpposition(jde float64) float64 {
return jupiterConjunction(jde, 180, 1) return inclusiveNextPhaseEvent(jde, 180, jupiterConjunction)
} }
func NextJupiterEasternQuadrature(jde float64) float64 { func NextJupiterEasternQuadrature(jde float64) float64 {
return jupiterConjunction(jde, 90, 1) return inclusiveNextPhaseEvent(jde, 90, jupiterConjunction)
} }
func LastJupiterEasternQuadrature(jde float64) float64 { func LastJupiterEasternQuadrature(jde float64) float64 {
return jupiterConjunction(jde, 90, 0) return inclusiveLastPhaseEvent(jde, 90, jupiterConjunction)
} }
func NextJupiterWesternQuadrature(jde float64) float64 { func NextJupiterWesternQuadrature(jde float64) float64 {
return jupiterConjunction(jde, 270, 1) return inclusiveNextPhaseEvent(jde, 270, jupiterConjunction)
} }
func LastJupiterWesternQuadrature(jde float64) float64 { func LastJupiterWesternQuadrature(jde float64) float64 {
return jupiterConjunction(jde, 270, 0) return inclusiveLastPhaseEvent(jde, 270, jupiterConjunction)
} }
func jupiterRetrograde(jde float64, searchBeforeOpposition bool) float64 { func jupiterRetrogradeAroundOpposition(oppositionJD float64, searchBeforeOpposition bool) float64 {
//0=last 1=next oppositionTT := TD2UT(oppositionJD, true)
raRate := func(jde float64, delta float64) float64 { startTT := oppositionTT
sub := JupiterApparentRa(jde+delta) - JupiterApparentRa(jde-delta) endTT := oppositionTT
if sub > 180 {
sub -= 360
}
if sub < -180 {
sub += 360
}
return sub / (2 * delta)
}
jde = jupiterConjunctionFull(jde, 180, 1)
if searchBeforeOpposition { if searchBeforeOpposition {
jde -= 60 easternQuadratureUT := jupiterConjunction(oppositionTT, 90, 0)
startTT = TD2UT(easternQuadratureUT, true)
} else { } else {
jde += 60 westernQuadratureUT := jupiterConjunction(oppositionTT, 270, 1)
endTT = TD2UT(westernQuadratureUT, true)
} }
for { bestJD := zeroEventInWindow(startTT, endTT, 2.0, 2.0, 30.0/86400.0, func(jd float64) float64 {
currentRate := raRate(jde, 1.0/86400.0) return jupiterRADerivativeN(jd, 1.0/86400.0, jupiterEventSearchN)
if math.Abs(currentRate) > 0.55 { }, func(jd float64) float64 {
jde += 2 return jupiterRADerivative(jd, 0.5/86400.0)
continue
}
break
}
estimateJD := jde
for {
prevJD := estimateJD
rateValue := raRate(prevJD, 2.0/86400.0)
rateSlope := (raRate(prevJD+15.0/86400.0, 2.0/86400.0) - raRate(prevJD-15.0/86400.0, 2.0/86400.0)) / (30.0 / 86400.0)
estimateJD = prevJD - rateValue/rateSlope
if math.Abs(estimateJD-prevJD) <= 30.0/86400.0 {
break
}
}
bestJD := eventZeroRefine(estimateJD, 15.0/86400.0, 0.5/86400.0, func(jd float64) float64 {
return raRate(jd, 0.5/86400.0)
}) })
return TD2UT(bestJD, false) return TD2UT(bestJD, false)
} }
func NextJupiterRetrogradeToPrograde(jde float64) float64 { func NextJupiterRetrogradeToPrograde(jde float64) float64 {
date := jupiterRetrograde(jde, false) lastOppositionJD := jupiterConjunctionFull(jde, 180, 0)
if date < jde { date := jupiterRetrogradeAroundOpposition(lastOppositionJD, false)
oppositionJD := jupiterConjunctionFull(jde, 180, 1) if sameEventUTQueryTT(date, jde) || eventUTQueryAfterOrEqual(date, jde) {
return jupiterRetrograde(oppositionJD+10, false)
}
return date return date
} }
nextOppositionJD := jupiterConjunctionFull(jde, 180, 1)
return jupiterRetrogradeAroundOpposition(nextOppositionJD, false)
}
func LastJupiterRetrogradeToPrograde(jde float64) float64 { func LastJupiterRetrogradeToPrograde(jde float64) float64 {
jde = jupiterConjunctionFull(jde, 180, 0) - 10 lastOppositionJD := jupiterConjunctionFull(jde, 180, 0)
date := jupiterRetrograde(jde, false) date := jupiterRetrogradeAroundOpposition(lastOppositionJD, false)
if date > jde { if sameEventUTQueryTT(date, jde) || eventUTQueryBeforeOrEqual(date, jde) {
oppositionJD := jupiterConjunctionFull(jde, 180, 0)
return jupiterRetrograde(oppositionJD-10, false)
}
return date return date
} }
previousOppositionJD := jupiterConjunctionFull(eventUTLastQueryTT(lastOppositionJD), 180, 0)
return jupiterRetrogradeAroundOpposition(previousOppositionJD, false)
}
func NextJupiterProgradeToRetrograde(jde float64) float64 { func NextJupiterProgradeToRetrograde(jde float64) float64 {
date := jupiterRetrograde(jde, true) nextOppositionJD := jupiterConjunctionFull(jde, 180, 1)
if date < jde { date := jupiterRetrogradeAroundOpposition(nextOppositionJD, true)
oppositionJD := jupiterConjunctionFull(jde, 180, 1) if sameEventUTQueryTT(date, jde) || eventUTQueryAfterOrEqual(date, jde) {
return jupiterRetrograde(oppositionJD+10, true)
}
return date return date
} }
followingOppositionJD := jupiterConjunctionFull(eventUTNextQueryTT(nextOppositionJD), 180, 1)
return jupiterRetrogradeAroundOpposition(followingOppositionJD, true)
}
func LastJupiterProgradeToRetrograde(jde float64) float64 { func LastJupiterProgradeToRetrograde(jde float64) float64 {
jde = jupiterConjunctionFull(jde, 180, 0) - 10 nextOppositionJD := jupiterConjunctionFull(jde, 180, 1)
date := jupiterRetrograde(jde, true) date := jupiterRetrogradeAroundOpposition(nextOppositionJD, true)
if date > jde { if sameEventUTQueryTT(date, jde) || eventUTQueryBeforeOrEqual(date, jde) {
oppositionJD := jupiterConjunctionFull(jde, 180, 0)
return jupiterRetrograde(oppositionJD-10, true)
}
return date return date
} }
lastOppositionJD := jupiterConjunctionFull(jde, 180, 0)
return jupiterRetrogradeAroundOpposition(lastOppositionJD, true)
}

62
basic/mars.go
View File

@ -87,72 +87,32 @@ func MarsApparentRaDec(jd float64) (float64, float64) {
} }
func EarthMarsAway(jd float64) float64 { func EarthMarsAway(jd float64) float64 {
x, y, z := AMarsXYZ(jd) return planetEarthAwayExplicitN(3, jd, -1)
to := math.Sqrt(x*x + y*y + z*z)
return to
} }
func MarsApparentLo(jd float64) float64 { func MarsApparentLo(jd float64) float64 {
x, y, z := AMarsXYZ(jd) geo, _ := planetApparentGeocentricPositionN(3, jd, -1)
to := 0.0057755183 * math.Sqrt(x*x+y*y+z*z) return geo.lo
x, y, z = AMarsXYZ(jd - to)
lo := math.Atan2(y, x)
//bo := math.Atan2(z, math.Sqrt(x*x+y*y))
lo = lo * 180.0 / math.Pi
//bo = bo * 180 / math.Pi
lo = Limit360(lo) + Nutation2000Bi(jd)
//lo-=GXCLo(lo,bo,jd)/3600;
//bo+=GXCBo(lo,bo,jd);
return lo
} }
func MarsApparentBo(jd float64) float64 { func MarsApparentBo(jd float64) float64 {
x, y, z := AMarsXYZ(jd) geo, _ := planetApparentGeocentricPositionN(3, jd, -1)
to := 0.0057755183 * math.Sqrt(x*x+y*y+z*z) return geo.bo
x, y, z = AMarsXYZ(jd - to)
//lo := math.Atan2(y, x)
bo := math.Atan2(z, math.Sqrt(x*x+y*y))
//lo = lo * 180 / math.Pi
bo = bo * 180 / math.Pi
//lo+=GXCLo(lo,bo,jd);
//bo+=GXCBo(lo,bo,jd)/3600;
//lo+=Nutation2000Bi(jd);
return bo
} }
func MarsApparentLoBo(jd float64) (float64, float64) { func MarsApparentLoBo(jd float64) (float64, float64) {
x, y, z := AMarsXYZ(jd) geo, _ := planetApparentGeocentricPositionN(3, jd, -1)
to := 0.0057755183 * math.Sqrt(x*x+y*y+z*z) return geo.lo, geo.bo
x, y, z = AMarsXYZ(jd - to)
lo := math.Atan2(y, x)
bo := math.Atan2(z, math.Sqrt(x*x+y*y))
lo = lo * 180 / math.Pi
bo = bo * 180 / math.Pi
lo = Limit360(lo)
//lo -= GXCLo(lo, bo, jd) / 3600
//bo += GXCBo(lo, bo, jd)
lo += Nutation2000Bi(jd)
return lo, bo
} }
func MarsTrueLoBo(jd float64) (float64, float64) { func MarsTrueLoBo(jd float64) (float64, float64) {
x, y, z := AMarsXYZ(jd) geo, _ := planetTrueGeocentricPositionN(3, jd, -1)
to := 0.0057755183 * math.Sqrt(x*x+y*y+z*z) return geo.lo, geo.bo
x, y, z = AMarsXYZ(jd - to)
lo := math.Atan2(y, x)
bo := math.Atan2(z, math.Sqrt(x*x+y*y))
lo = lo * 180 / math.Pi
bo = bo * 180 / math.Pi
lo = Limit360(lo)
return lo, bo
} }
func MarsTrueLo(jd float64) float64 { func MarsTrueLo(jd float64) float64 {
x, y, _ := AMarsXYZ(jd) geo, _ := planetTrueGeocentricPositionN(3, jd, -1)
lo := math.Atan2(y, x) return geo.lo
lo = lo * 180 / math.Pi
lo = Limit360(lo)
return lo
} }
func MarsMag(jd float64) float64 { func MarsMag(jd float64) float64 {

83
basic/mars_events.go
View File

@ -116,40 +116,39 @@ func marsConjunction(jde, degree float64, next uint8) float64 {
} }
func LastMarsConjunction(jde float64) float64 { func LastMarsConjunction(jde float64) float64 {
return marsConjunction(jde, 0, 0) return inclusiveLastPhaseEvent(jde, 0, marsConjunction)
} }
func NextMarsConjunction(jde float64) float64 { func NextMarsConjunction(jde float64) float64 {
return marsConjunction(jde, 0, 1) return inclusiveNextPhaseEvent(jde, 0, marsConjunction)
} }
func LastMarsOpposition(jde float64) float64 { func LastMarsOpposition(jde float64) float64 {
return marsConjunction(jde, 180, 0) return inclusiveLastPhaseEvent(jde, 180, marsConjunction)
} }
func NextMarsOpposition(jde float64) float64 { func NextMarsOpposition(jde float64) float64 {
return marsConjunction(jde, 180, 1) return inclusiveNextPhaseEvent(jde, 180, marsConjunction)
} }
func NextMarsEasternQuadrature(jde float64) float64 { func NextMarsEasternQuadrature(jde float64) float64 {
return marsConjunction(jde, 90, 1) return inclusiveNextPhaseEvent(jde, 90, marsConjunction)
} }
func LastMarsEasternQuadrature(jde float64) float64 { func LastMarsEasternQuadrature(jde float64) float64 {
return marsConjunction(jde, 90, 0) return inclusiveLastPhaseEvent(jde, 90, marsConjunction)
} }
func NextMarsWesternQuadrature(jde float64) float64 { func NextMarsWesternQuadrature(jde float64) float64 {
return marsConjunction(jde, 270, 1) return inclusiveNextPhaseEvent(jde, 270, marsConjunction)
} }
func LastMarsWesternQuadrature(jde float64) float64 { func LastMarsWesternQuadrature(jde float64) float64 {
return marsConjunction(jde, 270, 0) return inclusiveLastPhaseEvent(jde, 270, marsConjunction)
} }
func marsRetrograde(jde float64, searchBeforeOpposition bool) float64 { func marsRetrogradeAroundOpposition(oppositionJD float64, searchBeforeOpposition bool) float64 {
//0=last 1=next jde := oppositionJD
jde = marsConjunctionFull(jde, 180, 1)
if searchBeforeOpposition { if searchBeforeOpposition {
jde -= 60 jde -= 60
} else { } else {
@ -179,40 +178,66 @@ func marsRetrograde(jde float64, searchBeforeOpposition bool) float64 {
return TD2UT(bestJD, false) return TD2UT(bestJD, false)
} }
func marsOppositionFromBefore(oppositionJD float64) float64 {
return marsConjunctionFull(eventUTLastQueryTT(oppositionJD), 180, 1)
}
func marsOppositionFromAfter(oppositionJD float64) float64 {
return marsConjunctionFull(eventUTNextQueryTT(oppositionJD), 180, 0)
}
func NextMarsRetrogradeToPrograde(jde float64) float64 { func NextMarsRetrogradeToPrograde(jde float64) float64 {
date := marsRetrograde(jde, false) lastOppositionJD := marsConjunctionFull(jde, 180, 0)
if date < jde { date := marsRetrogradeAroundOpposition(lastOppositionJD, false)
oppositionJD := marsConjunctionFull(jde, 180, 1) if sameEventUTQueryTT(date, jde) {
return marsRetrograde(oppositionJD+10, false) sameOppositionJD := marsOppositionFromBefore(lastOppositionJD)
return closestEventUTToQueryTT(jde, date, marsRetrogradeAroundOpposition(sameOppositionJD, false))
}
if !eventUTQueryAfterOrEqual(date, jde) {
nextOppositionJD := marsConjunctionFull(jde, 180, 1)
return marsRetrogradeAroundOpposition(nextOppositionJD, false)
} }
return date return date
} }
func LastMarsRetrogradeToPrograde(jde float64) float64 { func LastMarsRetrogradeToPrograde(jde float64) float64 {
jde = marsConjunctionFull(jde, 180, 0) - 10 lastOppositionJD := marsConjunctionFull(jde, 180, 0)
date := marsRetrograde(jde, false) date := marsRetrogradeAroundOpposition(lastOppositionJD, false)
if date > jde { if sameEventUTQueryTT(date, jde) {
oppositionJD := marsConjunctionFull(jde, 180, 0) sameOppositionJD := marsOppositionFromBefore(lastOppositionJD)
return marsRetrograde(oppositionJD-10, false) return closestEventUTToQueryTT(jde, date, marsRetrogradeAroundOpposition(sameOppositionJD, false))
}
if !eventUTQueryBeforeOrEqual(date, jde) {
previousOppositionJD := marsConjunctionFull(eventUTLastQueryTT(lastOppositionJD), 180, 0)
return marsRetrogradeAroundOpposition(previousOppositionJD, false)
} }
return date return date
} }
func NextMarsProgradeToRetrograde(jde float64) float64 { func NextMarsProgradeToRetrograde(jde float64) float64 {
date := marsRetrograde(jde, true) nextOppositionJD := marsConjunctionFull(jde, 180, 1)
if date < jde { date := marsRetrogradeAroundOpposition(nextOppositionJD, true)
oppositionJD := marsConjunctionFull(jde, 180, 1) if sameEventUTQueryTT(date, jde) {
return marsRetrograde(oppositionJD+10, true) sameOppositionJD := marsOppositionFromAfter(nextOppositionJD)
return closestEventUTToQueryTT(jde, date, marsRetrogradeAroundOpposition(sameOppositionJD, true))
}
if !eventUTQueryAfterOrEqual(date, jde) {
followingOppositionJD := marsConjunctionFull(eventUTNextQueryTT(nextOppositionJD), 180, 1)
return marsRetrogradeAroundOpposition(followingOppositionJD, true)
} }
return date return date
} }
func LastMarsProgradeToRetrograde(jde float64) float64 { func LastMarsProgradeToRetrograde(jde float64) float64 {
jde = marsConjunctionFull(jde, 180, 0) - 10 nextOppositionJD := marsConjunctionFull(jde, 180, 1)
date := marsRetrograde(jde, true) date := marsRetrogradeAroundOpposition(nextOppositionJD, true)
if date > jde { if sameEventUTQueryTT(date, jde) {
oppositionJD := marsConjunctionFull(jde, 180, 0) sameOppositionJD := marsOppositionFromAfter(nextOppositionJD)
return marsRetrograde(oppositionJD-10, true) return closestEventUTToQueryTT(jde, date, marsRetrogradeAroundOpposition(sameOppositionJD, true))
}
if !eventUTQueryBeforeOrEqual(date, jde) {
lastOppositionJD := marsConjunctionFull(jde, 180, 0)
return marsRetrogradeAroundOpposition(lastOppositionJD, true)
} }
return date return date
} }

44
basic/mercury.go
View File

@ -80,52 +80,22 @@ func MercuryApparentRaDec(jd float64) (float64, float64) {
} }
func EarthMercuryAway(jd float64) float64 { func EarthMercuryAway(jd float64) float64 {
x, y, z := AMercuryXYZ(jd) return planetEarthAwayExplicitN(1, jd, -1)
to := math.Sqrt(x*x + y*y + z*z)
return to
} }
func MercuryApparentLo(jd float64) float64 { func MercuryApparentLo(jd float64) float64 {
x, y, z := AMercuryXYZ(jd) geo, _ := planetApparentGeocentricPositionN(1, jd, -1)
to := 0.0057755183 * math.Sqrt(x*x+y*y+z*z) return geo.lo
x, y, z = AMercuryXYZ(jd - to)
lo := math.Atan2(y, x)
bo := math.Atan2(z, math.Sqrt(x*x+y*y))
lo = lo * 180 / math.Pi
bo = bo * 180 / math.Pi
lo = Limit360(lo)
//lo-=GXCLo(lo,bo,jd)/3600;
//bo+=GXCBo(lo,bo,jd);
lo += Nutation2000Bi(jd)
return lo
} }
func MercuryApparentBo(jd float64) float64 { func MercuryApparentBo(jd float64) float64 {
x, y, z := AMercuryXYZ(jd) geo, _ := planetApparentGeocentricPositionN(1, jd, -1)
to := 0.0057755183 * math.Sqrt(x*x+y*y+z*z) return geo.bo
x, y, z = AMercuryXYZ(jd - to)
//lo := math.Atan2(y, x)
bo := math.Atan2(z, math.Sqrt(x*x+y*y))
//lo = lo * 180 / math.Pi
bo = bo * 180 / math.Pi
//lo+=GXCLo(lo,bo,jd);
//bo+=GXCBo(lo,bo,jd)/3600;
//lo+=Nutation2000Bi(jd);
return bo
} }
func MercuryApparentLoBo(jd float64) (float64, float64) { func MercuryApparentLoBo(jd float64) (float64, float64) {
x, y, z := AMercuryXYZ(jd) geo, _ := planetApparentGeocentricPositionN(1, jd, -1)
to := 0.0057755183 * math.Sqrt(x*x+y*y+z*z) return geo.lo, geo.bo
x, y, z = AMercuryXYZ(jd - to)
lo := math.Atan2(y, x)
bo := math.Atan2(z, math.Sqrt(x*x+y*y))
lo = lo * 180 / math.Pi
bo = bo * 180 / math.Pi
lo = Limit360(lo) + Nutation2000Bi(jd)
//lo-=GXCLo(lo,bo,jd)/3600;
//bo+=GXCBo(lo,bo,jd);
return lo, bo
} }
func MercuryMag(jd float64) float64 { func MercuryMag(jd float64) float64 {

358
basic/mercury_events.go
View File

@ -11,6 +11,7 @@ const (
MERCURY_S_PERIOD = 1 / ((1 / 87.9691) - (1 / 365.256363004)) MERCURY_S_PERIOD = 1 / ((1 / 87.9691) - (1 / 365.256363004))
mercuryConjunctionDerivativeStepDay = 2e-5 * 36525.0 mercuryConjunctionDerivativeStepDay = 2e-5 * 36525.0
mercuryLightTimeDaysPerAU = 0.0057755183 mercuryLightTimeDaysPerAU = 0.0057755183
mercuryEventSearchN = 16
) )
type mercuryConjunctionLBR struct { type mercuryConjunctionLBR struct {
@ -206,41 +207,49 @@ func mercuryConjunction(jde float64, next uint8) float64 {
} }
func LastMercuryConjunction(jde float64) float64 { func LastMercuryConjunction(jde float64) float64 {
return mercuryConjunction(jde, 0) return inclusiveLastSimpleEvent(jde, LastMercuryConjunctionStrict, NextMercuryConjunctionStrict)
} }
func NextMercuryConjunction(jde float64) float64 { func NextMercuryConjunction(jde float64) float64 {
return inclusiveNextSimpleEvent(jde, LastMercuryConjunctionStrict, NextMercuryConjunctionStrict)
}
func LastMercuryConjunctionStrict(jde float64) float64 {
return mercuryConjunction(jde, 0)
}
func NextMercuryConjunctionStrict(jde float64) float64 {
return mercuryConjunction(jde, 1) return mercuryConjunction(jde, 1)
} }
func NextMercuryInferiorConjunction(jde float64) float64 { func NextMercuryInferiorConjunction(jde float64) float64 {
date := NextMercuryConjunction(jde) date := NextMercuryConjunctionStrict(jde)
if EarthMercuryAway(date) > EarthAway(date) { if EarthMercuryAway(date) > EarthAway(date) {
return NextMercuryConjunction(date + 2) return NextMercuryConjunctionStrict(date + 2)
} }
return date return date
} }
func NextMercurySuperiorConjunction(jde float64) float64 { func NextMercurySuperiorConjunction(jde float64) float64 {
date := NextMercuryConjunction(jde) date := NextMercuryConjunctionStrict(jde)
if EarthMercuryAway(date) < EarthAway(date) { if EarthMercuryAway(date) < EarthAway(date) {
return NextMercuryConjunction(date + 2) return NextMercuryConjunctionStrict(date + 2)
} }
return date return date
} }
func LastMercuryInferiorConjunction(jde float64) float64 { func LastMercuryInferiorConjunction(jde float64) float64 {
date := LastMercuryConjunction(jde) date := LastMercuryConjunctionStrict(jde)
if EarthMercuryAway(date) > EarthAway(date) { if EarthMercuryAway(date) > EarthAway(date) {
return LastMercuryConjunction(date - 2) return LastMercuryConjunctionStrict(date - 2)
} }
return date return date
} }
func LastMercurySuperiorConjunction(jde float64) float64 { func LastMercurySuperiorConjunction(jde float64) float64 {
date := LastMercuryConjunction(jde) date := LastMercuryConjunctionStrict(jde)
if EarthMercuryAway(date) < EarthAway(date) { if EarthMercuryAway(date) < EarthAway(date) {
return LastMercuryConjunction(date - 2) return LastMercuryConjunctionStrict(date - 2)
} }
return date return date
} }
@ -257,16 +266,6 @@ func mercuryRetrograde(jde float64) float64 {
} }
return sub return sub
} }
raRate := func(jde float64, delta float64) float64 {
sub := MercuryApparentRa(jde+delta) - MercuryApparentRa(jde-delta)
if sub > 180 {
sub -= 360
}
if sub < -180 {
sub += 360
}
return sub / (2 * delta)
}
lastConjunction := mercuryConjunctionLegacy(jde, 0) lastConjunction := mercuryConjunctionLegacy(jde, 0)
nextConjunction := mercuryConjunctionLegacy(jde, 1) nextConjunction := mercuryConjunctionLegacy(jde, 1)
currentRADelta := solarRADelta(jde) currentRADelta := solarRADelta(jde)
@ -276,7 +275,7 @@ func mercuryRetrograde(jde float64) float64 {
jde = lastConjunction + ((nextConjunction - lastConjunction) / 5.5) jde = lastConjunction + ((nextConjunction - lastConjunction) / 5.5)
} }
for { for {
currentRate := raRate(jde, 1.0/86400.0) currentRate := mercuryRADerivative(jde, 1.0/86400.0)
if math.Abs(currentRate) > 0.55 { if math.Abs(currentRate) > 0.55 {
jde += 2 jde += 2
continue continue
@ -286,82 +285,212 @@ func mercuryRetrograde(jde float64) float64 {
estimateJD := jde estimateJD := jde
for { for {
prevJD := estimateJD prevJD := estimateJD
rateValue := raRate(prevJD, 2.0/86400.0) rateValue := mercuryRADerivative(prevJD, 2.0/86400.0)
rateSlope := (raRate(prevJD+15.0/86400.0, 2.0/86400.0) - raRate(prevJD-15.0/86400.0, 2.0/86400.0)) / (30.0 / 86400.0) rateSlope := (mercuryRADerivative(prevJD+15.0/86400.0, 2.0/86400.0) - mercuryRADerivative(prevJD-15.0/86400.0, 2.0/86400.0)) / (30.0 / 86400.0)
estimateJD = prevJD - rateValue/rateSlope estimateJD = prevJD - rateValue/rateSlope
if math.Abs(estimateJD-prevJD) <= 30.0/86400.0 { if math.Abs(estimateJD-prevJD) <= 30.0/86400.0 {
break break
} }
} }
bestJD := eventZeroRefine(estimateJD, 15.0/86400.0, 0.5/86400.0, func(jd float64) float64 { bestJD := eventZeroRefine(estimateJD, 15.0/86400.0, 0.5/86400.0, func(jd float64) float64 {
return raRate(jd, 0.5/86400.0) return mercuryRADerivative(jd, 0.5/86400.0)
}) })
//fmt.Println((bestJD - lastConjunction) / (nextConjunction - lastConjunction)) //fmt.Println((bestJD - lastConjunction) / (nextConjunction - lastConjunction))
return TD2UT(bestJD, false) return TD2UT(bestJD, false)
} }
func mercuryRADerivative(jde, delta float64) float64 {
sub := MercuryApparentRa(jde+delta) - MercuryApparentRa(jde-delta)
if sub > 180 {
sub -= 360
}
if sub < -180 {
sub += 360
}
return sub / (2 * delta)
}
func mercuryStationIsProgradeToRetrograde(eventUT float64) bool {
for _, offset := range []float64{0.25, 0.5, 1.0} {
before := mercuryRADerivative(eventUT-offset, 0.5/86400.0)
after := mercuryRADerivative(eventUT+offset, 0.5/86400.0)
if before > 0 && after < 0 {
return true
}
if before < 0 && after > 0 {
return false
}
}
before := mercuryRADerivative(eventUT-0.25, 0.5/86400.0)
after := mercuryRADerivative(eventUT+0.25, 0.5/86400.0)
return before > after
}
func nextMercuryTypedStation(jde float64, progradeToRetrograde bool) float64 {
date := NextMercuryRetrogradeStrict(jde)
for mercuryStationIsProgradeToRetrograde(date) != progradeToRetrograde {
date = NextMercuryRetrogradeStrict(eventUTNextQueryTT(date))
}
return date
}
func lastMercuryTypedStation(jde float64, progradeToRetrograde bool) float64 {
date := LastMercuryRetrogradeStrict(jde)
for mercuryStationIsProgradeToRetrograde(date) != progradeToRetrograde {
date = LastMercuryRetrogradeStrict(eventUTLastQueryTT(date))
}
return date
}
func NextMercuryRetrograde(jde float64) float64 { func NextMercuryRetrograde(jde float64) float64 {
date := mercuryRetrograde(jde) date := mercuryRetrograde(jde)
if date < jde { if !eventUTQueryAfterOrEqual(date, jde) {
nextConjunction := mercuryConjunctionLegacy(jde, 1) nextConjunction := NextMercuryConjunctionStrict(jde)
return mercuryRetrograde(nextConjunction + 2) return mercuryRetrograde(nextConjunction + 2)
} }
return date return date
} }
func LastMercuryRetrograde(jde float64) float64 { func LastMercuryRetrograde(jde float64) float64 {
lastConjunction := mercuryConjunctionLegacy(jde, 0) lastConjunction := LastMercuryConjunctionStrict(jde)
date := mercuryRetrograde(lastConjunction + 2) date := mercuryRetrograde(lastConjunction + 2)
if date > jde { if !eventUTQueryBeforeOrEqual(date, jde) {
previousConjunction := mercuryConjunctionLegacy(lastConjunction-2, 0) previousConjunction := LastMercuryConjunctionStrict(eventUTLastQueryTT(lastConjunction))
return mercuryRetrograde(previousConjunction + 2) return mercuryRetrograde(previousConjunction + 2)
} }
return date return date
} }
func NextMercuryProgradeToRetrograde(jde float64) float64 { func LastMercuryRetrogradeStrict(jde float64) float64 {
date := NextMercuryRetrograde(jde) return LastMercuryRetrograde(jde)
sub := Limit360(MercuryApparentRa(date) - SunApparentRa(date))
if sub > 180 {
return NextMercuryRetrograde(date + MERCURY_S_PERIOD/2)
} }
return date
func NextMercuryRetrogradeStrict(jde float64) float64 {
return NextMercuryRetrograde(jde)
}
func NextMercuryProgradeToRetrograde(jde float64) float64 {
return nextMercuryTypedStation(jde, true)
} }
func NextMercuryRetrogradeToPrograde(jde float64) float64 { func NextMercuryRetrogradeToPrograde(jde float64) float64 {
date := NextMercuryRetrograde(jde) return nextMercuryTypedStation(jde, false)
sub := Limit360(MercuryApparentRa(date) - SunApparentRa(date))
if sub < 180 {
return NextMercuryRetrograde(date + 12)
}
return date
} }
func LastMercuryProgradeToRetrograde(jde float64) float64 { func LastMercuryProgradeToRetrograde(jde float64) float64 {
date := LastMercuryRetrograde(jde) return lastMercuryTypedStation(jde, true)
sub := Limit360(MercuryApparentRa(date) - SunApparentRa(date))
if sub > 180 {
return LastMercuryRetrograde(date - 12)
}
return date
} }
func LastMercuryRetrogradeToPrograde(jde float64) float64 { func LastMercuryRetrogradeToPrograde(jde float64) float64 {
date := LastMercuryRetrograde(jde) return lastMercuryTypedStation(jde, false)
sub := Limit360(MercuryApparentRa(date) - SunApparentRa(date))
if sub < 180 {
return LastMercuryRetrograde(date - MERCURY_S_PERIOD/2)
}
return date
} }
func MercurySunElongation(jde float64) float64 { func MercurySunElongation(jde float64) float64 {
lo1, bo1 := MercuryApparentLoBo(jde) lo1, bo1 := MercuryApparentLoBo(jde)
lo2 := SunApparentLo(jde) lo2 := HSunApparentLo(jde)
bo2 := HSunTrueBo(jde) bo2 := HSunTrueBo(jde)
return StarAngularSeparation(lo1, bo1, lo2, bo2) return StarAngularSeparation(lo1, bo1, lo2, bo2)
} }
func mercurySunElongationN(jde float64, n int) float64 {
lo1, bo1 := MercuryApparentLoBoN(jde, n)
lo2 := HSunApparentLoN(jde, n)
bo2 := HSunTrueBoN(jde, n)
return StarAngularSeparation(lo1, bo1, lo2, bo2)
}
func mercuryTrueElongationN(jde float64, n int) float64 {
earth := mercuryHelioN(-1, jde, n)
planetPos := mercuryHelioN(1, jde, n)
geo := mercuryGeocentric(planetPos, earth)
return StarAngularSeparation(geo.lo, geo.bo, HSunTrueLoN(jde, n), HSunTrueBoN(jde, n))
}
func mercuryGreatestElongationInWindow(start, end float64) float64 {
best := maximizeInWindow(start, end, 2.0, func(jd float64) float64 {
return mercuryTrueElongationN(jd, mercuryEventSearchN)
}, func(jd float64) float64 {
return mercuryTrueElongationN(jd, -1)
})
return TD2UT(best, false)
}
func mercuryEastElongationWindowEndingAt(inferior float64) (float64, float64) {
lastSuperior := LastMercurySuperiorConjunction(eventUTLastQueryTT(inferior))
return lastSuperior + innerEventEpsilon, inferior - innerEventEpsilon
}
func mercuryWestElongationWindowEndingAt(superior float64) (float64, float64) {
lastInferior := LastMercuryInferiorConjunction(eventUTLastQueryTT(superior))
return lastInferior + innerEventEpsilon, superior - innerEventEpsilon
}
func mercuryEastElongationWindowContaining(jde float64) (float64, float64) {
nextInferior := NextMercuryInferiorConjunction(jde)
start, end := mercuryEastElongationWindowEndingAt(nextInferior)
if eventUTQueryBeforeOrEqual(start, jde) {
return start, end
}
currentInferior := LastMercuryInferiorConjunction(jde)
return mercuryEastElongationWindowEndingAt(currentInferior)
}
func mercuryWestElongationWindowContaining(jde float64) (float64, float64) {
nextSuperior := NextMercurySuperiorConjunction(jde)
start, end := mercuryWestElongationWindowEndingAt(nextSuperior)
if eventUTQueryBeforeOrEqual(start, jde) {
return start, end
}
currentSuperior := LastMercurySuperiorConjunction(jde)
return mercuryWestElongationWindowEndingAt(currentSuperior)
}
func nextMercuryGreatestElongationTyped(jde float64, east bool) float64 {
if east {
start, windowEnd := mercuryEastElongationWindowContaining(jde)
for {
date := mercuryGreatestElongationInWindow(start, windowEnd)
if eventUTQueryAfterOrEqual(date, jde) {
return date
}
nextInferior := NextMercuryInferiorConjunction(eventUTNextQueryTT(windowEnd))
start, windowEnd = mercuryEastElongationWindowEndingAt(nextInferior)
}
}
start, windowEnd := mercuryWestElongationWindowContaining(jde)
for {
date := mercuryGreatestElongationInWindow(start, windowEnd)
if eventUTQueryAfterOrEqual(date, jde) {
return date
}
nextSuperior := NextMercurySuperiorConjunction(eventUTNextQueryTT(windowEnd))
start, windowEnd = mercuryWestElongationWindowEndingAt(nextSuperior)
}
}
func lastMercuryGreatestElongationTyped(jde float64, east bool) float64 {
if east {
start, windowEnd := mercuryEastElongationWindowContaining(jde)
for {
date := mercuryGreatestElongationInWindow(start, windowEnd)
if eventUTQueryBeforeOrEqual(date, jde) {
return date
}
prevInferior := LastMercuryInferiorConjunction(eventUTLastQueryTT(start))
start, windowEnd = mercuryEastElongationWindowEndingAt(prevInferior)
}
}
start, windowEnd := mercuryWestElongationWindowContaining(jde)
for {
date := mercuryGreatestElongationInWindow(start, windowEnd)
if eventUTQueryBeforeOrEqual(date, jde) {
return date
}
prevSuperior := LastMercurySuperiorConjunction(eventUTLastQueryTT(start))
start, windowEnd = mercuryWestElongationWindowEndingAt(prevSuperior)
}
}
func mercuryGreatestElongation(jde float64) float64 { func mercuryGreatestElongation(jde float64) float64 {
solarRADelta := func(jde float64) float64 { solarRADelta := func(jde float64) float64 {
sub := Limit360(MercuryApparentRa(jde) - SunApparentRa(jde)) sub := Limit360(MercuryApparentRa(jde) - SunApparentRa(jde))
@ -383,8 +512,8 @@ func mercuryGreatestElongation(jde float64) float64 {
} }
return sub / (2 * delta) return sub / (2 * delta)
} }
lastConjunction := mercuryConjunctionLegacy(jde, 0) lastConjunction := LastMercuryConjunctionStrict(jde)
nextConjunction := mercuryConjunctionLegacy(jde, 1) nextConjunction := NextMercuryConjunctionStrict(jde)
currentRADelta := solarRADelta(jde) currentRADelta := solarRADelta(jde)
if currentRADelta > 0 { if currentRADelta > 0 {
jde = lastConjunction + ((nextConjunction - lastConjunction) / 5.0 * 2.0) jde = lastConjunction + ((nextConjunction - lastConjunction) / 5.0 * 2.0)
@ -417,56 +546,105 @@ func mercuryGreatestElongation(jde float64) float64 {
} }
func NextMercuryGreatestElongation(jde float64) float64 { func NextMercuryGreatestElongation(jde float64) float64 {
date := mercuryGreatestElongation(jde) east := NextMercuryGreatestElongationEast(jde)
if date < jde { west := NextMercuryGreatestElongationWest(jde)
nextConjunction := mercuryConjunctionLegacy(jde, 1) if sameEventJD(east, west) {
return mercuryGreatestElongation(nextConjunction + 2) return east
} }
return date if east < west {
return east
}
return west
} }
func LastMercuryGreatestElongation(jde float64) float64 { func LastMercuryGreatestElongation(jde float64) float64 {
lastConjunction := mercuryConjunctionLegacy(jde, 0) east := LastMercuryGreatestElongationEast(jde)
date := mercuryGreatestElongation(lastConjunction + 2) west := LastMercuryGreatestElongationWest(jde)
if date > jde { if sameEventJD(east, west) {
previousConjunction := mercuryConjunctionLegacy(lastConjunction-2, 0) return east
return mercuryGreatestElongation(previousConjunction + 2)
} }
return date if east > west {
return east
}
return west
}
func LastMercuryInferiorConjunctionInclusive(jde float64) float64 {
return inclusiveLastSimpleEvent(jde, LastMercuryInferiorConjunction, NextMercuryInferiorConjunction)
}
func NextMercuryInferiorConjunctionInclusive(jde float64) float64 {
return inclusiveNextSimpleEvent(jde, LastMercuryInferiorConjunction, NextMercuryInferiorConjunction)
}
func LastMercurySuperiorConjunctionInclusive(jde float64) float64 {
return inclusiveLastSimpleEvent(jde, LastMercurySuperiorConjunction, NextMercurySuperiorConjunction)
}
func NextMercurySuperiorConjunctionInclusive(jde float64) float64 {
return inclusiveNextSimpleEvent(jde, LastMercurySuperiorConjunction, NextMercurySuperiorConjunction)
}
func LastMercuryRetrogradeInclusive(jde float64) float64 {
return inclusiveLastSimpleEvent(jde, LastMercuryRetrograde, NextMercuryRetrograde)
}
func NextMercuryRetrogradeInclusive(jde float64) float64 {
return inclusiveNextSimpleEvent(jde, LastMercuryRetrograde, NextMercuryRetrograde)
}
func LastMercuryProgradeToRetrogradeInclusive(jde float64) float64 {
return inclusiveLastSimpleEvent(jde, LastMercuryProgradeToRetrograde, NextMercuryProgradeToRetrograde)
}
func NextMercuryProgradeToRetrogradeInclusive(jde float64) float64 {
return inclusiveNextSimpleEvent(jde, LastMercuryProgradeToRetrograde, NextMercuryProgradeToRetrograde)
}
func LastMercuryRetrogradeToProgradeInclusive(jde float64) float64 {
return inclusiveLastSimpleEvent(jde, LastMercuryRetrogradeToPrograde, NextMercuryRetrogradeToPrograde)
}
func NextMercuryRetrogradeToProgradeInclusive(jde float64) float64 {
return inclusiveNextSimpleEvent(jde, LastMercuryRetrogradeToPrograde, NextMercuryRetrogradeToPrograde)
}
func LastMercuryGreatestElongationInclusive(jde float64) float64 {
return inclusiveLastSimpleEvent(jde, LastMercuryGreatestElongation, NextMercuryGreatestElongation)
}
func NextMercuryGreatestElongationInclusive(jde float64) float64 {
return inclusiveNextSimpleEvent(jde, LastMercuryGreatestElongation, NextMercuryGreatestElongation)
}
func LastMercuryGreatestElongationEastInclusive(jde float64) float64 {
return inclusiveLastSimpleEvent(jde, LastMercuryGreatestElongationEast, NextMercuryGreatestElongationEast)
}
func NextMercuryGreatestElongationEastInclusive(jde float64) float64 {
return inclusiveNextSimpleEvent(jde, LastMercuryGreatestElongationEast, NextMercuryGreatestElongationEast)
}
func LastMercuryGreatestElongationWestInclusive(jde float64) float64 {
return inclusiveLastSimpleEvent(jde, LastMercuryGreatestElongationWest, NextMercuryGreatestElongationWest)
}
func NextMercuryGreatestElongationWestInclusive(jde float64) float64 {
return inclusiveNextSimpleEvent(jde, LastMercuryGreatestElongationWest, NextMercuryGreatestElongationWest)
} }
func NextMercuryGreatestElongationEast(jde float64) float64 { func NextMercuryGreatestElongationEast(jde float64) float64 {
date := NextMercuryGreatestElongation(jde) return nextMercuryGreatestElongationTyped(jde, true)
sub := Limit360(MercuryApparentRa(date) - SunApparentRa(date))
if sub > 180 {
return NextMercuryGreatestElongation(date + 1)
}
return date
} }
func NextMercuryGreatestElongationWest(jde float64) float64 { func NextMercuryGreatestElongationWest(jde float64) float64 {
date := NextMercuryGreatestElongation(jde) return nextMercuryGreatestElongationTyped(jde, false)
sub := Limit360(MercuryApparentRa(date) - SunApparentRa(date))
if sub < 180 {
return NextMercuryGreatestElongation(date + 1)
}
return date
} }
func LastMercuryGreatestElongationEast(jde float64) float64 { func LastMercuryGreatestElongationEast(jde float64) float64 {
date := LastMercuryGreatestElongation(jde) return lastMercuryGreatestElongationTyped(jde, true)
sub := Limit360(MercuryApparentRa(date) - SunApparentRa(date))
if sub > 180 {
return LastMercuryGreatestElongation(date - 1)
}
return date
} }
func LastMercuryGreatestElongationWest(jde float64) float64 { func LastMercuryGreatestElongationWest(jde float64) float64 {
date := LastMercuryGreatestElongation(jde) return lastMercuryGreatestElongationTyped(jde, false)
sub := Limit360(MercuryApparentRa(date) - SunApparentRa(date))
if sub < 180 {
return LastMercuryGreatestElongation(date - 1)
}
return date
} }

40
basic/mercury_station_regression_test.go Normal file
View File

@ -0,0 +1,40 @@
package basic
import (
"math"
"testing"
"time"
)
func mercuryTTJDJST(year int, month time.Month, day, hour, minute, second int) float64 {
loc := time.FixedZone("JST", 9*3600)
return TD2UT(Date2JDE(time.Date(year, month, day, hour, minute, second, 0, loc).UTC()), true)
}
func TestMercuryTypedStationRegression1929(t *testing.T) {
loc := time.FixedZone("JST", 9*3600)
const tolerance = 30.0 / 86400.0
query := mercuryTTJDJST(1929, time.September, 20, 0, 0, 0)
wantP2R := mercuryTTJDJST(1929, time.September, 26, 1, 58, 0)
wantR2P := mercuryTTJDJST(1929, time.October, 16, 23, 32, 33)
nextP2R := NextMercuryProgradeToRetrograde(query)
nextR2P := NextMercuryRetrogradeToPrograde(query)
if math.Abs(nextP2R-wantP2R) > tolerance {
t.Fatalf("next P2R mismatch: got %s want %s", JDE2DateByZone(nextP2R, loc, false), JDE2DateByZone(wantP2R, loc, false))
}
if math.Abs(nextR2P-wantR2P) > tolerance {
t.Fatalf("next R2P mismatch: got %s want %s", JDE2DateByZone(nextR2P, loc, false), JDE2DateByZone(wantR2P, loc, false))
}
query = mercuryTTJDJST(1929, time.October, 20, 0, 0, 0)
lastP2R := LastMercuryProgradeToRetrograde(query)
lastR2P := LastMercuryRetrogradeToPrograde(query)
if math.Abs(lastP2R-wantP2R) > tolerance {
t.Fatalf("last P2R mismatch: got %s want %s", JDE2DateByZone(lastP2R, loc, false), JDE2DateByZone(wantP2R, loc, false))
}
if math.Abs(lastR2P-wantR2P) > tolerance {
t.Fatalf("last R2P mismatch: got %s want %s", JDE2DateByZone(lastR2P, loc, false), JDE2DateByZone(wantR2P, loc, false))
}
}

45
basic/neptune.go
View File

@ -87,53 +87,22 @@ func NeptuneApparentRaDec(jd float64) (float64, float64) {
} }
func EarthNeptuneAway(jd float64) float64 { func EarthNeptuneAway(jd float64) float64 {
x, y, z := ANeptuneXYZ(jd) return planetEarthAwayExplicitN(7, jd, -1)
to := math.Sqrt(x*x + y*y + z*z)
return to
} }
func NeptuneApparentLo(jd float64) float64 { func NeptuneApparentLo(jd float64) float64 {
x, y, z := ANeptuneXYZ(jd) geo, _ := planetApparentGeocentricPositionN(7, jd, -1)
to := 0.0057755183 * math.Sqrt(x*x+y*y+z*z) return geo.lo
x, y, z = ANeptuneXYZ(jd - to)
lo := math.Atan2(y, x)
bo := math.Atan2(z, math.Sqrt(x*x+y*y))
lo = lo * 180 / math.Pi
bo = bo * 180 / math.Pi
lo = Limit360(lo)
//lo-=GXCLo(lo,bo,jd)/3600;
//bo+=GXCBo(lo,bo,jd);
lo += Nutation2000Bi(jd)
return lo
} }
func NeptuneApparentBo(jd float64) float64 { func NeptuneApparentBo(jd float64) float64 {
x, y, z := ANeptuneXYZ(jd) geo, _ := planetApparentGeocentricPositionN(7, jd, -1)
to := 0.0057755183 * math.Sqrt(x*x+y*y+z*z) return geo.bo
x, y, z = ANeptuneXYZ(jd - to)
//lo := math.Atan2(y, x)
bo := math.Atan2(z, math.Sqrt(x*x+y*y))
//lo = lo * 180 / math.Pi
bo = bo * 180 / math.Pi
//lo+=GXCLo(lo,bo,jd);
//bo+=GXCBo(lo,bo,jd)/3600;
//lo+=Nutation2000Bi(jd);
return bo
} }
func NeptuneApparentLoBo(jd float64) (float64, float64) { func NeptuneApparentLoBo(jd float64) (float64, float64) {
x, y, z := ANeptuneXYZ(jd) geo, _ := planetApparentGeocentricPositionN(7, jd, -1)
to := 0.0057755183 * math.Sqrt(x*x+y*y+z*z) return geo.lo, geo.bo
x, y, z = ANeptuneXYZ(jd - to)
lo := math.Atan2(y, x)
bo := math.Atan2(z, math.Sqrt(x*x+y*y))
lo = lo * 180 / math.Pi
bo = bo * 180 / math.Pi
lo = Limit360(lo)
//lo-=GXCLo(lo,bo,jd)/3600;
//bo+=GXCBo(lo,bo,jd);
lo += Nutation2000Bi(jd)
return lo, bo
} }
func NeptuneMag(jd float64) float64 { func NeptuneMag(jd float64) float64 {

133
basic/neptune_events.go
View File

@ -9,7 +9,7 @@ import (
// Pos // Pos
const ( const (
NEPTUNE_S_PERIOD = 1 / ((1 / 365.256363004) - (1 / 4332.59)) NEPTUNE_S_PERIOD = 1 / ((1 / 365.256363004) - (1 / 60190.03))
neptuneEventSearchN = 16 neptuneEventSearchN = 16
neptunePhaseCoarseTolerance = 30.0 / 86400.0 neptunePhaseCoarseTolerance = 30.0 / 86400.0
) )
@ -40,6 +40,28 @@ func neptuneSunLongitudeDeltaN(jde, degree float64, filter bool, n int) float64
return sub return sub
} }
func neptuneRADerivative(jde, delta float64) float64 {
sub := NeptuneApparentRa(jde+delta) - NeptuneApparentRa(jde-delta)
if sub > 180 {
sub -= 360
}
if sub < -180 {
sub += 360
}
return sub / (2 * delta)
}
func neptuneRADerivativeN(jde, delta float64, n int) float64 {
sub := NeptuneApparentRaN(jde+delta, n) - NeptuneApparentRaN(jde-delta, n)
if sub > 180 {
sub -= 360
}
if sub < -180 {
sub += 360
}
return sub / (2 * delta)
}
func neptuneConjunctionFull(jde, degree float64, next uint8) float64 { func neptuneConjunctionFull(jde, degree float64, next uint8) float64 {
//0=last 1=next //0=last 1=next
daysPerDegree := NEPTUNE_S_PERIOD / 360 daysPerDegree := NEPTUNE_S_PERIOD / 360
@ -94,113 +116,92 @@ func neptuneConjunction(jde, degree float64, next uint8) float64 {
} }
func LastNeptuneConjunction(jde float64) float64 { func LastNeptuneConjunction(jde float64) float64 {
return neptuneConjunction(jde, 0, 0) return inclusiveLastPhaseEvent(jde, 0, neptuneConjunction)
} }
func NextNeptuneConjunction(jde float64) float64 { func NextNeptuneConjunction(jde float64) float64 {
return neptuneConjunction(jde, 0, 1) return inclusiveNextPhaseEvent(jde, 0, neptuneConjunction)
} }
func LastNeptuneOpposition(jde float64) float64 { func LastNeptuneOpposition(jde float64) float64 {
return neptuneConjunction(jde, 180, 0) return inclusiveLastPhaseEvent(jde, 180, neptuneConjunction)
} }
func NextNeptuneOpposition(jde float64) float64 { func NextNeptuneOpposition(jde float64) float64 {
return neptuneConjunction(jde, 180, 1) return inclusiveNextPhaseEvent(jde, 180, neptuneConjunction)
} }
func NextNeptuneEasternQuadrature(jde float64) float64 { func NextNeptuneEasternQuadrature(jde float64) float64 {
return neptuneConjunction(jde, 90, 1) return inclusiveNextPhaseEvent(jde, 90, neptuneConjunction)
} }
func LastNeptuneEasternQuadrature(jde float64) float64 { func LastNeptuneEasternQuadrature(jde float64) float64 {
return neptuneConjunction(jde, 90, 0) return inclusiveLastPhaseEvent(jde, 90, neptuneConjunction)
} }
func NextNeptuneWesternQuadrature(jde float64) float64 { func NextNeptuneWesternQuadrature(jde float64) float64 {
return neptuneConjunction(jde, 270, 1) return inclusiveNextPhaseEvent(jde, 270, neptuneConjunction)
} }
func LastNeptuneWesternQuadrature(jde float64) float64 { func LastNeptuneWesternQuadrature(jde float64) float64 {
return neptuneConjunction(jde, 270, 0) return inclusiveLastPhaseEvent(jde, 270, neptuneConjunction)
} }
func neptuneRetrograde(jde float64, searchBeforeOpposition bool) float64 { func neptuneRetrogradeAroundOpposition(oppositionJD float64, searchBeforeOpposition bool) float64 {
//0=last 1=next oppositionTT := TD2UT(oppositionJD, true)
raRate := func(jde float64, delta float64) float64 { startTT := oppositionTT
sub := NeptuneApparentRa(jde+delta) - NeptuneApparentRa(jde-delta) endTT := oppositionTT
if sub > 180 {
sub -= 360
}
if sub < -180 {
sub += 360
}
return sub / (2 * delta)
}
jde = neptuneConjunctionFull(jde, 180, 1)
if searchBeforeOpposition { if searchBeforeOpposition {
jde -= 60 easternQuadratureUT := neptuneConjunction(oppositionTT, 90, 0)
startTT = TD2UT(easternQuadratureUT, true)
} else { } else {
jde += 60 westernQuadratureUT := neptuneConjunction(oppositionTT, 270, 1)
endTT = TD2UT(westernQuadratureUT, true)
} }
for { bestJD := zeroEventInWindow(startTT, endTT, 2.0, 2.0, 30.0/86400.0, func(jd float64) float64 {
currentRate := raRate(jde, 1.0/86400.0) return neptuneRADerivativeN(jd, 1.0/86400.0, neptuneEventSearchN)
if math.Abs(currentRate) > 0.55 { }, func(jd float64) float64 {
jde += 2 return neptuneRADerivative(jd, 0.5/86400.0)
continue
}
break
}
estimateJD := jde
for {
prevJD := estimateJD
rateValue := raRate(prevJD, 2.0/86400.0)
rateSlope := (raRate(prevJD+15.0/86400.0, 2.0/86400.0) - raRate(prevJD-15.0/86400.0, 2.0/86400.0)) / (30.0 / 86400.0)
estimateJD = prevJD - rateValue/rateSlope
if math.Abs(estimateJD-prevJD) <= 30.0/86400.0 {
break
}
}
bestJD := eventZeroRefine(estimateJD, 15.0/86400.0, 0.5/86400.0, func(jd float64) float64 {
return raRate(jd, 0.5/86400.0)
}) })
return TD2UT(bestJD, false) return TD2UT(bestJD, false)
} }
func NextNeptuneRetrogradeToPrograde(jde float64) float64 { func NextNeptuneRetrogradeToPrograde(jde float64) float64 {
date := neptuneRetrograde(jde, false) lastOppositionJD := neptuneConjunctionFull(jde, 180, 0)
if date < jde { date := neptuneRetrogradeAroundOpposition(lastOppositionJD, false)
oppositionJD := neptuneConjunctionFull(jde, 180, 1) if sameEventUTQueryTT(date, jde) || eventUTQueryAfterOrEqual(date, jde) {
return neptuneRetrograde(oppositionJD+10, false)
}
return date return date
} }
nextOppositionJD := neptuneConjunctionFull(jde, 180, 1)
return neptuneRetrogradeAroundOpposition(nextOppositionJD, false)
}
func LastNeptuneRetrogradeToPrograde(jde float64) float64 { func LastNeptuneRetrogradeToPrograde(jde float64) float64 {
jde = neptuneConjunctionFull(jde, 180, 0) - 10 lastOppositionJD := neptuneConjunctionFull(jde, 180, 0)
date := neptuneRetrograde(jde, false) date := neptuneRetrogradeAroundOpposition(lastOppositionJD, false)
if date > jde { if sameEventUTQueryTT(date, jde) || eventUTQueryBeforeOrEqual(date, jde) {
oppositionJD := neptuneConjunctionFull(jde, 180, 0)
return neptuneRetrograde(oppositionJD-10, false)
}
return date return date
} }
previousOppositionJD := neptuneConjunctionFull(eventUTLastQueryTT(lastOppositionJD), 180, 0)
return neptuneRetrogradeAroundOpposition(previousOppositionJD, false)
}
func NextNeptuneProgradeToRetrograde(jde float64) float64 { func NextNeptuneProgradeToRetrograde(jde float64) float64 {
date := neptuneRetrograde(jde, true) nextOppositionJD := neptuneConjunctionFull(jde, 180, 1)
if date < jde { date := neptuneRetrogradeAroundOpposition(nextOppositionJD, true)
oppositionJD := neptuneConjunctionFull(jde, 180, 1) if sameEventUTQueryTT(date, jde) || eventUTQueryAfterOrEqual(date, jde) {
return neptuneRetrograde(oppositionJD+10, true)
}
return date return date
} }
followingOppositionJD := neptuneConjunctionFull(eventUTNextQueryTT(nextOppositionJD), 180, 1)
return neptuneRetrogradeAroundOpposition(followingOppositionJD, true)
}
func LastNeptuneProgradeToRetrograde(jde float64) float64 { func LastNeptuneProgradeToRetrograde(jde float64) float64 {
jde = neptuneConjunctionFull(jde, 180, 0) - 10 nextOppositionJD := neptuneConjunctionFull(jde, 180, 1)
date := neptuneRetrograde(jde, true) date := neptuneRetrogradeAroundOpposition(nextOppositionJD, true)
if date > jde { if sameEventUTQueryTT(date, jde) || eventUTQueryBeforeOrEqual(date, jde) {
oppositionJD := neptuneConjunctionFull(jde, 180, 0)
return neptuneRetrograde(oppositionJD-10, true)
}
return date return date
} }
lastOppositionJD := neptuneConjunctionFull(jde, 180, 0)
return neptuneRetrogradeAroundOpposition(lastOppositionJD, true)
}

55
basic/outer_planet_event_boundary_test.go Normal file
View File

@ -0,0 +1,55 @@
package basic
import (
"testing"
"time"
)
func TestOuterPlanetExactEventBoundaryIncludesCurrent(t *testing.T) {
cases := []struct {
name string
seed float64
lastFn func(float64) float64
nextFn func(float64) float64
}{
{name: "JupiterConjunction", seed: NextJupiterConjunction(ttjdUTC(2026, 1, 1, 0, 0, 0)), lastFn: LastJupiterConjunction, nextFn: NextJupiterConjunction},
{name: "JupiterOpposition", seed: NextJupiterOpposition(ttjdUTC(2026, 1, 1, 0, 0, 0)), lastFn: LastJupiterOpposition, nextFn: NextJupiterOpposition},
{name: "JupiterEasternQuadrature", seed: NextJupiterEasternQuadrature(ttjdUTC(2026, 1, 1, 0, 0, 0)), lastFn: LastJupiterEasternQuadrature, nextFn: NextJupiterEasternQuadrature},
{name: "JupiterWesternQuadrature", seed: NextJupiterWesternQuadrature(ttjdUTC(2026, 1, 1, 0, 0, 0)), lastFn: LastJupiterWesternQuadrature, nextFn: NextJupiterWesternQuadrature},
{name: "JupiterP2R", seed: NextJupiterProgradeToRetrograde(ttjdUTC(2026, 1, 1, 0, 0, 0)), lastFn: LastJupiterProgradeToRetrograde, nextFn: NextJupiterProgradeToRetrograde},
{name: "JupiterR2P", seed: NextJupiterRetrogradeToPrograde(ttjdUTC(2026, 1, 1, 0, 0, 0)), lastFn: LastJupiterRetrogradeToPrograde, nextFn: NextJupiterRetrogradeToPrograde},
{name: "SaturnOpposition", seed: NextSaturnOpposition(ttjdUTC(2025, 1, 1, 0, 0, 0)), lastFn: LastSaturnOpposition, nextFn: NextSaturnOpposition},
{name: "SaturnP2R", seed: NextSaturnProgradeToRetrograde(ttjdUTC(2025, 1, 1, 0, 0, 0)), lastFn: LastSaturnProgradeToRetrograde, nextFn: NextSaturnProgradeToRetrograde},
{name: "SaturnR2P", seed: NextSaturnRetrogradeToPrograde(ttjdUTC(2025, 1, 1, 0, 0, 0)), lastFn: LastSaturnRetrogradeToPrograde, nextFn: NextSaturnRetrogradeToPrograde},
{name: "UranusOpposition", seed: NextUranusOpposition(ttjdUTC(2025, 1, 1, 0, 0, 0)), lastFn: LastUranusOpposition, nextFn: NextUranusOpposition},
{name: "UranusP2R", seed: NextUranusProgradeToRetrograde(ttjdUTC(2025, 1, 1, 0, 0, 0)), lastFn: LastUranusProgradeToRetrograde, nextFn: NextUranusProgradeToRetrograde},
{name: "UranusR2P", seed: NextUranusRetrogradeToPrograde(ttjdUTC(2025, 1, 1, 0, 0, 0)), lastFn: LastUranusRetrogradeToPrograde, nextFn: NextUranusRetrogradeToPrograde},
{name: "NeptuneOpposition", seed: NextNeptuneOpposition(ttjdUTC(2026, 1, 1, 0, 0, 0)), lastFn: LastNeptuneOpposition, nextFn: NextNeptuneOpposition},
{name: "NeptuneP2R", seed: NextNeptuneProgradeToRetrograde(ttjdUTC(2026, 1, 1, 0, 0, 0)), lastFn: LastNeptuneProgradeToRetrograde, nextFn: NextNeptuneProgradeToRetrograde},
{name: "NeptuneR2P", seed: NextNeptuneRetrogradeToPrograde(ttjdUTC(2026, 1, 1, 0, 0, 0)), lastFn: LastNeptuneRetrogradeToPrograde, nextFn: NextNeptuneRetrogradeToPrograde},
{name: "MarsConjunction", seed: NextMarsConjunction(ttjdUTC(2026, 1, 1, 0, 0, 0)), lastFn: LastMarsConjunction, nextFn: NextMarsConjunction},
{name: "MarsOpposition", seed: NextMarsOpposition(ttjdUTC(2026, 1, 1, 0, 0, 0)), lastFn: LastMarsOpposition, nextFn: NextMarsOpposition},
{name: "MarsEasternQuadrature", seed: NextMarsEasternQuadrature(ttjdUTC(2026, 1, 1, 0, 0, 0)), lastFn: LastMarsEasternQuadrature, nextFn: NextMarsEasternQuadrature},
{name: "MarsWesternQuadrature", seed: NextMarsWesternQuadrature(ttjdUTC(2026, 1, 1, 0, 0, 0)), lastFn: LastMarsWesternQuadrature, nextFn: NextMarsWesternQuadrature},
{name: "MarsP2R", seed: NextMarsProgradeToRetrograde(ttjdUTC(2026, 1, 1, 0, 0, 0)), lastFn: LastMarsProgradeToRetrograde, nextFn: NextMarsProgradeToRetrograde},
{name: "MarsR2P", seed: NextMarsRetrogradeToPrograde(ttjdUTC(2026, 1, 1, 0, 0, 0)), lastFn: LastMarsRetrogradeToPrograde, nextFn: NextMarsRetrogradeToPrograde},
}
for _, tc := range cases {
t.Run(tc.name, func(t *testing.T) {
queryTT := TD2UT(tc.seed, true)
last := tc.lastFn(queryTT)
next := tc.nextFn(queryTT)
if !sameEventJD(last, tc.seed) {
t.Fatalf("last exact boundary mismatch: got %.12f want %.12f", last, tc.seed)
}
if !sameEventJD(next, tc.seed) {
t.Fatalf("next exact boundary mismatch: got %.12f want %.12f", next, tc.seed)
}
})
}
}
func ttjdUTC(year, month, day, hour, min, sec int) float64 {
return TD2UT(Date2JDE(time.Date(year, time.Month(month), day, hour, min, sec, 0, time.UTC)), true)
}

181
basic/outer_planet_truth_test.go Normal file
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@ -0,0 +1,181 @@
package basic
import (
"encoding/json"
"os"
"strings"
"testing"
"time"
)
type outerTruthBaselineFile struct {
Events []outerTruthBaselineEvent `json:"events"`
}
type outerTruthBaselineEvent struct {
Planet string `json:"planet"`
Kind string `json:"kind"`
HintKind string `json:"hint_kind"`
NAOJHintJST string `json:"naoj_hint_jst"`
Precision string `json:"precision"`
CandidateJST string `json:"candidate_jst"`
VerifiedJST string `json:"verified_jst"`
CandidateSource string `json:"candidate_source"`
}
func loadOuterTruthBaseline(t *testing.T) outerTruthBaselineFile {
t.Helper()
paths := [][]string{
{
"testdata/jpl_outer_event_baseline.json",
"basic/testdata/jpl_outer_event_baseline.json",
},
{
"testdata/jpl_outer_event_baseline_21c_sample.json",
"basic/testdata/jpl_outer_event_baseline_21c_sample.json",
},
}
var merged outerTruthBaselineFile
for index, candidates := range paths {
var (
data []byte
err error
)
for _, path := range candidates {
data, err = os.ReadFile(path)
if err == nil {
var baseline outerTruthBaselineFile
if err := json.Unmarshal(data, &baseline); err != nil {
t.Fatal(err)
}
merged.Events = append(merged.Events, baseline.Events...)
break
}
}
if err != nil && index == 0 {
t.Fatal(err)
}
}
if len(merged.Events) == 0 {
t.Fatal("empty outer truth baseline file")
}
return merged
}
func outerTruthTolerance(event outerTruthBaselineEvent) time.Duration {
switch event.Kind {
case "CONJ", "OPP", "EQE", "EQW":
return 2 * time.Minute
default:
return 2 * time.Minute
}
}
func outerTruthEventFuncs(t *testing.T, event outerTruthBaselineEvent) (func(float64) float64, func(float64) float64) {
t.Helper()
switch event.Planet + ":" + event.Kind {
case "Jupiter:CONJ":
return LastJupiterConjunction, NextJupiterConjunction
case "Jupiter:OPP":
return LastJupiterOpposition, NextJupiterOpposition
case "Jupiter:EQE":
return LastJupiterEasternQuadrature, NextJupiterEasternQuadrature
case "Jupiter:EQW":
return LastJupiterWesternQuadrature, NextJupiterWesternQuadrature
case "Jupiter:P2R":
return LastJupiterProgradeToRetrograde, NextJupiterProgradeToRetrograde
case "Jupiter:R2P":
return LastJupiterRetrogradeToPrograde, NextJupiterRetrogradeToPrograde
case "Saturn:CONJ":
return LastSaturnConjunction, NextSaturnConjunction
case "Saturn:OPP":
return LastSaturnOpposition, NextSaturnOpposition
case "Saturn:EQE":
return LastSaturnEasternQuadrature, NextSaturnEasternQuadrature
case "Saturn:EQW":
return LastSaturnWesternQuadrature, NextSaturnWesternQuadrature
case "Saturn:P2R":
return LastSaturnProgradeToRetrograde, NextSaturnProgradeToRetrograde
case "Saturn:R2P":
return LastSaturnRetrogradeToPrograde, NextSaturnRetrogradeToPrograde
case "Uranus:CONJ":
return LastUranusConjunction, NextUranusConjunction
case "Uranus:OPP":
return LastUranusOpposition, NextUranusOpposition
case "Uranus:EQE":
return LastUranusEasternQuadrature, NextUranusEasternQuadrature
case "Uranus:EQW":
return LastUranusWesternQuadrature, NextUranusWesternQuadrature
case "Uranus:P2R":
return LastUranusProgradeToRetrograde, NextUranusProgradeToRetrograde
case "Uranus:R2P":
return LastUranusRetrogradeToPrograde, NextUranusRetrogradeToPrograde
case "Neptune:CONJ":
return LastNeptuneConjunction, NextNeptuneConjunction
case "Neptune:OPP":
return LastNeptuneOpposition, NextNeptuneOpposition
case "Neptune:EQE":
return LastNeptuneEasternQuadrature, NextNeptuneEasternQuadrature
case "Neptune:EQW":
return LastNeptuneWesternQuadrature, NextNeptuneWesternQuadrature
case "Neptune:P2R":
return LastNeptuneProgradeToRetrograde, NextNeptuneProgradeToRetrograde
case "Neptune:R2P":
return LastNeptuneRetrogradeToPrograde, NextNeptuneRetrogradeToPrograde
default:
t.Fatalf("unsupported outer event %s:%s", event.Planet, event.Kind)
return nil, nil
}
}
func assertOuterTruthBaselineEvent(t *testing.T, event outerTruthBaselineEvent, lastFn, nextFn func(float64) float64) {
t.Helper()
when := parseInnerBaselineTime(t, event.VerifiedJST)
before := when.Add(-7 * 24 * time.Hour)
after := when.Add(7 * 24 * time.Hour)
next := JDE2DateByZone(nextFn(toUTJD(before)), when.Location(), false)
last := JDE2DateByZone(lastFn(toUTJD(after)), when.Location(), false)
tolerance := outerTruthTolerance(event)
if diff := next.Sub(when); diff < -tolerance || diff > tolerance {
t.Fatalf("%s %s next mismatch: got %s want %s tol=%s hint=%s candidate=%s via=%s", event.Planet, event.Kind, next, when, tolerance, event.NAOJHintJST, event.CandidateJST, event.CandidateSource)
}
if diff := last.Sub(when); diff < -tolerance || diff > tolerance {
t.Fatalf("%s %s last mismatch: got %s want %s tol=%s hint=%s candidate=%s via=%s", event.Planet, event.Kind, last, when, tolerance, event.NAOJHintJST, event.CandidateJST, event.CandidateSource)
}
}
func TestOuterPlanetPhaseTruthAgainstJPL(t *testing.T) {
baseline := loadOuterTruthBaseline(t)
for _, event := range baseline.Events {
event := event
switch event.Kind {
case "P2R", "R2P":
// Station rows are retained as JPL apparent-RA reference data for
// future refinement. Current station behavior is constrained by the
// library's existing station baseline instead of these reference rows.
continue
}
name := strings.Join([]string{event.Planet, event.Kind, event.VerifiedJST}, "_")
t.Run(name, func(t *testing.T) {
lastFn, nextFn := outerTruthEventFuncs(t, event)
assertOuterTruthBaselineEvent(t, event, lastFn, nextFn)
})
}
}
func TestOuterPlanetStationJPLReferenceLoaded(t *testing.T) {
baseline := loadOuterTruthBaseline(t)
count := 0
for _, event := range baseline.Events {
switch event.Kind {
case "P2R", "R2P":
count++
}
}
if count == 0 {
t.Fatal("missing outer station JPL reference rows")
}
}

84
basic/planet_apparent.go Normal file
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@ -0,0 +1,84 @@
package basic
import (
"math"
"b612.me/astro/planet"
. "b612.me/astro/tools"
)
type planetGeocentricPosition struct {
x float64
y float64
z float64
lo float64
bo float64
}
func planetHeliocentricXYZN(planetIndex int, jd float64, n int) (float64, float64, float64) {
l := planet.WherePlanetN(planetIndex, 0, jd, n)
b := planet.WherePlanetN(planetIndex, 1, jd, n)
r := planet.WherePlanetN(planetIndex, 2, jd, n)
return sphericalToRectangular(l, b, r)
}
func earthHeliocentricXYZN(jd float64, n int) (float64, float64, float64) {
l := planet.WherePlanetN(-1, 0, jd, n)
b := planet.WherePlanetN(-1, 1, jd, n)
r := planet.WherePlanetN(-1, 2, jd, n)
return sphericalToRectangular(l, b, r)
}
func sphericalToRectangular(lo, bo, radius float64) (float64, float64, float64) {
cosBo := math.Cos(bo * math.Pi / 180)
return radius * cosBo * math.Cos(lo*math.Pi/180),
radius * cosBo * math.Sin(lo*math.Pi/180),
radius * math.Sin(bo*math.Pi/180)
}
func geocentricPositionFromRectangular(x, y, z float64) planetGeocentricPosition {
lo := math.Atan2(y, x) * 180 / math.Pi
bo := math.Atan2(z, math.Sqrt(x*x+y*y)) * 180 / math.Pi
return planetGeocentricPosition{
x: x,
y: y,
z: z,
lo: Limit360(lo),
bo: bo,
}
}
func planetGeocentricPositionN(planetIndex int, planetJD, earthJD float64, n int) planetGeocentricPosition {
px, py, pz := planetHeliocentricXYZN(planetIndex, planetJD, n)
ex, ey, ez := earthHeliocentricXYZN(earthJD, n)
return geocentricPositionFromRectangular(px-ex, py-ey, pz-ez)
}
func planetGeocentricPositionWithEarthN(planetIndex int, planetJD float64, ex, ey, ez float64, n int) planetGeocentricPosition {
px, py, pz := planetHeliocentricXYZN(planetIndex, planetJD, n)
return geocentricPositionFromRectangular(px-ex, py-ey, pz-ez)
}
func planetApparentGeocentricPositionN(planetIndex int, jd float64, n int) (planetGeocentricPosition, float64) {
ex, ey, ez := earthHeliocentricXYZN(jd, n)
geoNow := planetGeocentricPositionWithEarthN(planetIndex, jd, ex, ey, ez, n)
tau := 0.0057755183 * math.Sqrt(geoNow.x*geoNow.x+geoNow.y*geoNow.y+geoNow.z*geoNow.z)
geo := planetGeocentricPositionWithEarthN(planetIndex, jd-tau, ex, ey, ez, n)
baseLo := geo.lo
baseBo := geo.bo
geo.lo = Limit360(baseLo + GXCLo(baseLo, baseBo, jd)/3600.0 + Nutation2000Bi(jd))
geo.bo = baseBo + GXCBo(baseLo, baseBo, jd)/3600.0
return geo, tau
}
func planetTrueGeocentricPositionN(planetIndex int, jd float64, n int) (planetGeocentricPosition, float64) {
ex, ey, ez := earthHeliocentricXYZN(jd, n)
geoNow := planetGeocentricPositionWithEarthN(planetIndex, jd, ex, ey, ez, n)
tau := 0.0057755183 * math.Sqrt(geoNow.x*geoNow.x+geoNow.y*geoNow.y+geoNow.z*geoNow.z)
return planetGeocentricPositionWithEarthN(planetIndex, jd-tau, ex, ey, ez, n), tau
}
func planetEarthAwayExplicitN(planetIndex int, jd float64, n int) float64 {
geoNow := planetGeocentricPositionN(planetIndex, jd, jd, n)
return math.Sqrt(geoNow.x*geoNow.x + geoNow.y*geoNow.y + geoNow.z*geoNow.z)
}

83
basic/planet_apparent_external_test.go Normal file
View File

@ -0,0 +1,83 @@
package basic
import (
"encoding/json"
"os"
"testing"
"time"
)
type planetApparentSample struct {
Body string `json:"body"`
InputUTC string `json:"input_utc"`
RightAscension float64 `json:"right_ascension"`
Declination float64 `json:"declination"`
EclipticLongitude float64 `json:"ecliptic_longitude"`
EclipticLatitude float64 `json:"ecliptic_latitude"`
}
func TestPlanetApparentCoordinatesMatchHorizonsBaseline(t *testing.T) {
data, err := os.ReadFile("testdata/planet_apparent_baseline.json")
if err != nil {
t.Fatalf("read baseline: %v", err)
}
var samples []planetApparentSample
if err := json.Unmarshal(data, &samples); err != nil {
t.Fatalf("decode baseline: %v", err)
}
type apparentCase struct {
lo func(float64) float64
bo func(float64) float64
ra func(float64) float64
dec func(float64) float64
}
cases := map[string]apparentCase{
"mercury": {lo: MercuryApparentLo, bo: MercuryApparentBo, ra: MercuryApparentRa, dec: MercuryApparentDec},
"venus": {lo: VenusApparentLo, bo: VenusApparentBo, ra: VenusApparentRa, dec: VenusApparentDec},
"mars": {lo: MarsApparentLo, bo: MarsApparentBo, ra: MarsApparentRa, dec: MarsApparentDec},
"jupiter": {lo: JupiterApparentLo, bo: JupiterApparentBo, ra: JupiterApparentRa, dec: JupiterApparentDec},
"saturn": {lo: SaturnApparentLo, bo: SaturnApparentBo, ra: SaturnApparentRa, dec: SaturnApparentDec},
"uranus": {lo: UranusApparentLo, bo: UranusApparentBo, ra: UranusApparentRa, dec: UranusApparentDec},
"neptune": {lo: NeptuneApparentLo, bo: NeptuneApparentBo, ra: NeptuneApparentRa, dec: NeptuneApparentDec},
}
seen := make(map[string]bool, len(cases))
for _, sample := range samples {
tc, ok := cases[sample.Body]
if !ok {
t.Fatalf("unknown body %q", sample.Body)
}
if seen[sample.Body] {
t.Fatalf("duplicate body %q in apparent baseline", sample.Body)
}
seen[sample.Body] = true
date, err := time.Parse(time.RFC3339, sample.InputUTC)
if err != nil {
t.Fatalf("parse sample time %q: %v", sample.InputUTC, err)
}
jd := TD2UT(Date2JDE(date.UTC()), true)
prefix := sample.Body + "." + sample.InputUTC
assertPlanetApparentAngleClose(t, prefix+".RightAscension", tc.ra(jd), sample.RightAscension, 0.001)
assertPlanetPhaseClose(t, prefix+".Declination", tc.dec(jd), sample.Declination, 0.001)
assertPlanetApparentAngleClose(t, prefix+".EclipticLongitude", tc.lo(jd), sample.EclipticLongitude, 0.001)
assertPlanetPhaseClose(t, prefix+".EclipticLatitude", tc.bo(jd), sample.EclipticLatitude, 0.001)
}
for body := range cases {
if !seen[body] {
t.Fatalf("missing body %q in apparent baseline", body)
}
}
}
func assertPlanetApparentAngleClose(t *testing.T, name string, got, want, tolerance float64) {
t.Helper()
if diff := angleDiffAbs(got, want); diff > tolerance {
t.Fatalf("%s mismatch: got %.12f want %.12f diff %.12f tolerance %.12f", name, got, want, diff, tolerance)
}
}

13
basic/planet_truncated.go
View File

@ -24,14 +24,8 @@ func planetXYZN(planetIndex int, jd float64, n int) (float64, float64, float64)
} }
func planetApparentLoBoN(planetIndex int, jd float64, n int) (float64, float64) { func planetApparentLoBoN(planetIndex int, jd float64, n int) (float64, float64) {
x, y, z := planetXYZN(planetIndex, jd, n) geo, _ := planetApparentGeocentricPositionN(planetIndex, jd, n)
to := 0.0057755183 * math.Sqrt(x*x+y*y+z*z) return geo.lo, geo.bo
x, y, z = planetXYZN(planetIndex, jd-to, n)
lo := math.Atan2(y, x)
bo := math.Atan2(z, math.Sqrt(x*x+y*y))
lo = Limit360(lo*180/math.Pi) + Nutation2000Bi(jd)
bo = bo * 180 / math.Pi
return lo, bo
} }
func planetApparentRaManualN(planetIndex int, jd float64, n int) float64 { func planetApparentRaManualN(planetIndex int, jd float64, n int) float64 {
@ -57,8 +51,7 @@ func planetApparentRaDecManualN(planetIndex int, jd float64, n int) (float64, fl
} }
func planetEarthAwayN(planetIndex int, jd float64, n int) float64 { func planetEarthAwayN(planetIndex int, jd float64, n int) float64 {
x, y, z := planetXYZN(planetIndex, jd, n) return planetEarthAwayExplicitN(planetIndex, jd, n)
return math.Sqrt(x*x + y*y + z*z)
} }
func planetHeightN(jde, lon, lat, timezone float64, n int, apparentRaDec func(float64, int) (float64, float64)) float64 { func planetHeightN(jde, lon, lat, timezone float64, n int, apparentRaDec func(float64, int) (float64, float64)) float64 {

45
basic/saturn.go
View File

@ -87,53 +87,22 @@ func SaturnApparentRaDec(jd float64) (float64, float64) {
} }
func EarthSaturnAway(jd float64) float64 { func EarthSaturnAway(jd float64) float64 {
x, y, z := ASaturnXYZ(jd) return planetEarthAwayExplicitN(5, jd, -1)
to := math.Sqrt(x*x + y*y + z*z)
return to
} }
func SaturnApparentLo(jd float64) float64 { func SaturnApparentLo(jd float64) float64 {
x, y, z := ASaturnXYZ(jd) geo, _ := planetApparentGeocentricPositionN(5, jd, -1)
to := 0.0057755183 * math.Sqrt(x*x+y*y+z*z) return geo.lo
x, y, z = ASaturnXYZ(jd - to)
lo := math.Atan2(y, x)
bo := math.Atan2(z, math.Sqrt(x*x+y*y))
lo = lo * 180 / math.Pi
bo = bo * 180 / math.Pi
lo = Limit360(lo)
//lo-=GXCLo(lo,bo,jd)/3600;
//bo+=GXCBo(lo,bo,jd);
lo += Nutation2000Bi(jd)
return lo
} }
func SaturnApparentBo(jd float64) float64 { func SaturnApparentBo(jd float64) float64 {
x, y, z := ASaturnXYZ(jd) geo, _ := planetApparentGeocentricPositionN(5, jd, -1)
to := 0.0057755183 * math.Sqrt(x*x+y*y+z*z) return geo.bo
x, y, z = ASaturnXYZ(jd - to)
//lo := math.Atan2(y, x)
bo := math.Atan2(z, math.Sqrt(x*x+y*y))
//lo = lo * 180 / math.Pi
bo = bo * 180 / math.Pi
//lo+=GXCLo(lo,bo,jd);
//bo+=GXCBo(lo,bo,jd)/3600;
//lo+=Nutation2000Bi(jd);
return bo
} }
func SaturnApparentLoBo(jd float64) (float64, float64) { func SaturnApparentLoBo(jd float64) (float64, float64) {
x, y, z := ASaturnXYZ(jd) geo, _ := planetApparentGeocentricPositionN(5, jd, -1)
to := 0.0057755183 * math.Sqrt(x*x+y*y+z*z) return geo.lo, geo.bo
x, y, z = ASaturnXYZ(jd - to)
lo := math.Atan2(y, x)
bo := math.Atan2(z, math.Sqrt(x*x+y*y))
lo = lo * 180 / math.Pi
bo = bo * 180 / math.Pi
lo = Limit360(lo)
//lo-=GXCLo(lo,bo,jd)/3600;
//bo+=GXCBo(lo,bo,jd);
lo += Nutation2000Bi(jd)
return lo, bo
} }
func SaturnMag(jd float64) float64 { func SaturnMag(jd float64) float64 {

131
basic/saturn_events.go
View File

@ -40,6 +40,28 @@ func saturnSunLongitudeDeltaN(jde, degree float64, filter bool, n int) float64 {
return sub return sub
} }
func saturnRADerivative(jde, delta float64) float64 {
sub := SaturnApparentRa(jde+delta) - SaturnApparentRa(jde-delta)
if sub > 180 {
sub -= 360
}
if sub < -180 {
sub += 360
}
return sub / (2 * delta)
}
func saturnRADerivativeN(jde, delta float64, n int) float64 {
sub := SaturnApparentRaN(jde+delta, n) - SaturnApparentRaN(jde-delta, n)
if sub > 180 {
sub -= 360
}
if sub < -180 {
sub += 360
}
return sub / (2 * delta)
}
func saturnConjunctionFull(jde, degree float64, next uint8) float64 { func saturnConjunctionFull(jde, degree float64, next uint8) float64 {
//0=last 1=next //0=last 1=next
daysPerDegree := SATURN_S_PERIOD / 360 daysPerDegree := SATURN_S_PERIOD / 360
@ -94,113 +116,92 @@ func saturnConjunction(jde, degree float64, next uint8) float64 {
} }
func LastSaturnConjunction(jde float64) float64 { func LastSaturnConjunction(jde float64) float64 {
return saturnConjunction(jde, 0, 0) return inclusiveLastPhaseEvent(jde, 0, saturnConjunction)
} }
func NextSaturnConjunction(jde float64) float64 { func NextSaturnConjunction(jde float64) float64 {
return saturnConjunction(jde, 0, 1) return inclusiveNextPhaseEvent(jde, 0, saturnConjunction)
} }
func LastSaturnOpposition(jde float64) float64 { func LastSaturnOpposition(jde float64) float64 {
return saturnConjunction(jde, 180, 0) return inclusiveLastPhaseEvent(jde, 180, saturnConjunction)
} }
func NextSaturnOpposition(jde float64) float64 { func NextSaturnOpposition(jde float64) float64 {
return saturnConjunction(jde, 180, 1) return inclusiveNextPhaseEvent(jde, 180, saturnConjunction)
} }
func NextSaturnEasternQuadrature(jde float64) float64 { func NextSaturnEasternQuadrature(jde float64) float64 {
return saturnConjunction(jde, 90, 1) return inclusiveNextPhaseEvent(jde, 90, saturnConjunction)
} }
func LastSaturnEasternQuadrature(jde float64) float64 { func LastSaturnEasternQuadrature(jde float64) float64 {
return saturnConjunction(jde, 90, 0) return inclusiveLastPhaseEvent(jde, 90, saturnConjunction)
} }
func NextSaturnWesternQuadrature(jde float64) float64 { func NextSaturnWesternQuadrature(jde float64) float64 {
return saturnConjunction(jde, 270, 1) return inclusiveNextPhaseEvent(jde, 270, saturnConjunction)
} }
func LastSaturnWesternQuadrature(jde float64) float64 { func LastSaturnWesternQuadrature(jde float64) float64 {
return saturnConjunction(jde, 270, 0) return inclusiveLastPhaseEvent(jde, 270, saturnConjunction)
} }
func saturnRetrograde(jde float64, searchBeforeOpposition bool) float64 { func saturnRetrogradeAroundOpposition(oppositionJD float64, searchBeforeOpposition bool) float64 {
//0=last 1=next oppositionTT := TD2UT(oppositionJD, true)
raRate := func(jde float64, delta float64) float64 { startTT := oppositionTT
sub := SaturnApparentRa(jde+delta) - SaturnApparentRa(jde-delta) endTT := oppositionTT
if sub > 180 {
sub -= 360
}
if sub < -180 {
sub += 360
}
return sub / (2 * delta)
}
jde = saturnConjunctionFull(jde, 180, 1)
if searchBeforeOpposition { if searchBeforeOpposition {
jde -= 60 easternQuadratureUT := saturnConjunction(oppositionTT, 90, 0)
startTT = TD2UT(easternQuadratureUT, true)
} else { } else {
jde += 60 westernQuadratureUT := saturnConjunction(oppositionTT, 270, 1)
endTT = TD2UT(westernQuadratureUT, true)
} }
for { bestJD := zeroEventInWindow(startTT, endTT, 2.0, 2.0, 30.0/86400.0, func(jd float64) float64 {
currentRate := raRate(jde, 1.0/86400.0) return saturnRADerivativeN(jd, 1.0/86400.0, saturnEventSearchN)
if math.Abs(currentRate) > 0.55 { }, func(jd float64) float64 {
jde += 2 return saturnRADerivative(jd, 0.5/86400.0)
continue
}
break
}
estimateJD := jde
for {
prevJD := estimateJD
rateValue := raRate(prevJD, 2.0/86400.0)
rateSlope := (raRate(prevJD+15.0/86400.0, 2.0/86400.0) - raRate(prevJD-15.0/86400.0, 2.0/86400.0)) / (30.0 / 86400.0)
estimateJD = prevJD - rateValue/rateSlope
if math.Abs(estimateJD-prevJD) <= 30.0/86400.0 {
break
}
}
bestJD := eventZeroRefine(estimateJD, 15.0/86400.0, 0.5/86400.0, func(jd float64) float64 {
return raRate(jd, 0.5/86400.0)
}) })
return TD2UT(bestJD, false) return TD2UT(bestJD, false)
} }
func NextSaturnRetrogradeToPrograde(jde float64) float64 { func NextSaturnRetrogradeToPrograde(jde float64) float64 {
date := saturnRetrograde(jde, false) lastOppositionJD := saturnConjunctionFull(jde, 180, 0)
if date < jde { date := saturnRetrogradeAroundOpposition(lastOppositionJD, false)
oppositionJD := saturnConjunctionFull(jde, 180, 1) if sameEventUTQueryTT(date, jde) || eventUTQueryAfterOrEqual(date, jde) {
return saturnRetrograde(oppositionJD+10, false)
}
return date return date
} }
nextOppositionJD := saturnConjunctionFull(jde, 180, 1)
return saturnRetrogradeAroundOpposition(nextOppositionJD, false)
}
func LastSaturnRetrogradeToPrograde(jde float64) float64 { func LastSaturnRetrogradeToPrograde(jde float64) float64 {
jde = saturnConjunctionFull(jde, 180, 0) - 10 lastOppositionJD := saturnConjunctionFull(jde, 180, 0)
date := saturnRetrograde(jde, false) date := saturnRetrogradeAroundOpposition(lastOppositionJD, false)
if date > jde { if sameEventUTQueryTT(date, jde) || eventUTQueryBeforeOrEqual(date, jde) {
oppositionJD := saturnConjunctionFull(jde, 180, 0)
return saturnRetrograde(oppositionJD-10, false)
}
return date return date
} }
previousOppositionJD := saturnConjunctionFull(eventUTLastQueryTT(lastOppositionJD), 180, 0)
return saturnRetrogradeAroundOpposition(previousOppositionJD, false)
}
func NextSaturnProgradeToRetrograde(jde float64) float64 { func NextSaturnProgradeToRetrograde(jde float64) float64 {
date := saturnRetrograde(jde, true) nextOppositionJD := saturnConjunctionFull(jde, 180, 1)
if date < jde { date := saturnRetrogradeAroundOpposition(nextOppositionJD, true)
oppositionJD := saturnConjunctionFull(jde, 180, 1) if sameEventUTQueryTT(date, jde) || eventUTQueryAfterOrEqual(date, jde) {
return saturnRetrograde(oppositionJD+10, true)
}
return date return date
} }
followingOppositionJD := saturnConjunctionFull(eventUTNextQueryTT(nextOppositionJD), 180, 1)
return saturnRetrogradeAroundOpposition(followingOppositionJD, true)
}
func LastSaturnProgradeToRetrograde(jde float64) float64 { func LastSaturnProgradeToRetrograde(jde float64) float64 {
jde = saturnConjunctionFull(jde, 180, 0) - 10 nextOppositionJD := saturnConjunctionFull(jde, 180, 1)
date := saturnRetrograde(jde, true) date := saturnRetrogradeAroundOpposition(nextOppositionJD, true)
if date > jde { if sameEventUTQueryTT(date, jde) || eventUTQueryBeforeOrEqual(date, jde) {
oppositionJD := saturnConjunctionFull(jde, 180, 0)
return saturnRetrograde(oppositionJD-10, true)
}
return date return date
} }
lastOppositionJD := saturnConjunctionFull(jde, 180, 0)
return saturnRetrogradeAroundOpposition(lastOppositionJD, true)
}

207
basic/station_truth_test.go Normal file
View File

@ -0,0 +1,207 @@
package basic
import (
"testing"
"time"
)
type stationEvent struct {
when time.Time
kind string
}
type stationTruthCase struct {
name string
events []stationEvent
lastR2P func(float64) float64
nextR2P func(float64) float64
lastP2R func(float64) float64
nextP2R func(float64) float64
}
func mustJST(value string) time.Time {
loc := time.FixedZone("JST", 9*3600)
t, err := time.ParseInLocation("2006-01-02 15:04", value, loc)
if err != nil {
panic(err)
}
return t
}
func toUTJD(t time.Time) float64 {
return TD2UT(Date2JDE(t.UTC()), true)
}
func TestStationTruthAgainstNAOJ(t *testing.T) {
cases := []stationTruthCase{
{
name: "Mars",
events: []stationEvent{
{when: mustJST("2024-12-08 05:59"), kind: "P2R"},
{when: mustJST("2025-01-16 11:39"), kind: "OPP"},
{when: mustJST("2025-02-24 18:35"), kind: "R2P"},
{when: mustJST("2027-01-12 01:10"), kind: "P2R"},
{when: mustJST("2027-02-20 00:51"), kind: "OPP"},
{when: mustJST("2027-04-03 02:33"), kind: "R2P"},
},
lastR2P: LastMarsRetrogradeToPrograde,
nextR2P: NextMarsRetrogradeToPrograde,
lastP2R: LastMarsProgradeToRetrograde,
nextP2R: NextMarsProgradeToRetrograde,
},
{
name: "Jupiter",
events: []stationEvent{
{when: mustJST("2024-10-09 16:13"), kind: "P2R"},
{when: mustJST("2024-12-08 05:58"), kind: "OPP"},
{when: mustJST("2025-02-04 22:07"), kind: "R2P"},
{when: mustJST("2025-11-12 04:54"), kind: "P2R"},
{when: mustJST("2026-01-10 17:42"), kind: "OPP"},
{when: mustJST("2026-03-11 11:44"), kind: "R2P"},
{when: mustJST("2026-12-13 21:03"), kind: "P2R"},
{when: mustJST("2027-02-11 09:29"), kind: "OPP"},
{when: mustJST("2027-04-13 15:17"), kind: "R2P"},
},
lastR2P: LastJupiterRetrogradeToPrograde,
nextR2P: NextJupiterRetrogradeToPrograde,
lastP2R: LastJupiterProgradeToRetrograde,
nextP2R: NextJupiterProgradeToRetrograde,
},
{
name: "Saturn",
events: []stationEvent{
{when: mustJST("2024-07-01 06:15"), kind: "P2R"},
{when: mustJST("2024-09-08 13:35"), kind: "OPP"},
{when: mustJST("2024-11-16 14:57"), kind: "R2P"},
{when: mustJST("2025-07-14 16:57"), kind: "P2R"},
{when: mustJST("2025-09-21 14:46"), kind: "OPP"},
{when: mustJST("2025-11-29 09:35"), kind: "R2P"},
{when: mustJST("2026-07-28 08:09"), kind: "P2R"},
{when: mustJST("2026-10-04 21:29"), kind: "OPP"},
{when: mustJST("2026-12-12 08:21"), kind: "R2P"},
{when: mustJST("2027-08-11 02:53"), kind: "P2R"},
{when: mustJST("2027-10-18 09:36"), kind: "OPP"},
{when: mustJST("2027-12-25 12:05"), kind: "R2P"},
},
lastR2P: LastSaturnRetrogradeToPrograde,
nextR2P: NextSaturnRetrogradeToPrograde,
lastP2R: LastSaturnProgradeToRetrograde,
nextP2R: NextSaturnProgradeToRetrograde,
},
{
name: "Uranus",
events: []stationEvent{
{when: mustJST("2024-01-27 19:50"), kind: "R2P"},
{when: mustJST("2024-09-02 00:44"), kind: "P2R"},
{when: mustJST("2024-11-17 11:45"), kind: "OPP"},
{when: mustJST("2025-01-31 04:04"), kind: "R2P"},
{when: mustJST("2025-09-06 13:55"), kind: "P2R"},
{when: mustJST("2025-11-21 21:25"), kind: "OPP"},
{when: mustJST("2026-02-04 13:37"), kind: "R2P"},
{when: mustJST("2026-09-11 03:19"), kind: "P2R"},
{when: mustJST("2026-11-26 07:41"), kind: "OPP"},
{when: mustJST("2027-02-08 23:03"), kind: "R2P"},
{when: mustJST("2027-09-15 17:50"), kind: "P2R"},
{when: mustJST("2027-11-30 18:22"), kind: "OPP"},
},
lastR2P: LastUranusRetrogradeToPrograde,
nextR2P: NextUranusRetrogradeToPrograde,
lastP2R: LastUranusProgradeToRetrograde,
nextP2R: NextUranusProgradeToRetrograde,
},
{
name: "Neptune",
events: []stationEvent{
{when: mustJST("2024-07-03 12:08"), kind: "P2R"},
{when: mustJST("2024-09-21 09:17"), kind: "OPP"},
{when: mustJST("2024-12-08 20:05"), kind: "R2P"},
{when: mustJST("2025-07-05 23:30"), kind: "P2R"},
{when: mustJST("2025-09-23 21:54"), kind: "OPP"},
{when: mustJST("2025-12-11 09:21"), kind: "R2P"},
{when: mustJST("2026-07-08 13:02"), kind: "P2R"},
{when: mustJST("2026-09-26 10:36"), kind: "OPP"},
{when: mustJST("2026-12-13 19:47"), kind: "R2P"},
{when: mustJST("2027-07-11 01:06"), kind: "P2R"},
{when: mustJST("2027-09-28 23:19"), kind: "OPP"},
{when: mustJST("2027-12-16 07:16"), kind: "R2P"},
},
lastR2P: LastNeptuneRetrogradeToPrograde,
nextR2P: NextNeptuneRetrogradeToPrograde,
lastP2R: LastNeptuneProgradeToRetrograde,
nextP2R: NextNeptuneProgradeToRetrograde,
},
}
for _, tc := range cases {
tc := tc
t.Run(tc.name, func(t *testing.T) {
for i, event := range tc.events {
switch event.kind {
case "P2R":
before := event.when.Add(-24 * time.Hour)
after := event.when.Add(24 * time.Hour)
nextP2R := JDE2DateByZone(tc.nextP2R(toUTJD(before)), event.when.Location(), false)
lastP2R := JDE2DateByZone(tc.lastP2R(toUTJD(after)), event.when.Location(), false)
if !sameMinute(nextP2R, event.when) {
t.Fatalf("%s next P2R mismatch: got %s want %s", tc.name, nextP2R, event.when)
}
if !sameMinute(lastP2R, event.when) {
t.Fatalf("%s last P2R mismatch: got %s want %s", tc.name, lastP2R, event.when)
}
case "R2P":
before := event.when.Add(-24 * time.Hour)
after := event.when.Add(24 * time.Hour)
nextR2P := JDE2DateByZone(tc.nextR2P(toUTJD(before)), event.when.Location(), false)
lastR2P := JDE2DateByZone(tc.lastR2P(toUTJD(after)), event.when.Location(), false)
if !sameMinute(nextR2P, event.when) {
t.Fatalf("%s next R2P mismatch: got %s want %s", tc.name, nextR2P, event.when)
}
if !sameMinute(lastR2P, event.when) {
t.Fatalf("%s last R2P mismatch: got %s want %s", tc.name, lastR2P, event.when)
}
case "OPP":
prev := nearestOfKindBefore(tc.events, i, "P2R")
next := nearestOfKindAfter(tc.events, i, "R2P")
if prev.IsZero() || next.IsZero() {
continue
}
query := event.when
lastP2R := JDE2DateByZone(tc.lastP2R(toUTJD(query)), query.Location(), false)
nextR2P := JDE2DateByZone(tc.nextR2P(toUTJD(query)), query.Location(), false)
if !sameMinute(lastP2R, prev) {
t.Fatalf("%s opposition last P2R mismatch: got %s want %s", tc.name, lastP2R, prev)
}
if !sameMinute(nextR2P, next) {
t.Fatalf("%s opposition next R2P mismatch: got %s want %s", tc.name, nextR2P, next)
}
}
}
})
}
}
func nearestOfKindBefore(events []stationEvent, idx int, kind string) time.Time {
for i := idx - 1; i >= 0; i-- {
if events[i].kind == kind {
return events[i].when
}
}
return time.Time{}
}
func nearestOfKindAfter(events []stationEvent, idx int, kind string) time.Time {
for i := idx + 1; i < len(events); i++ {
if events[i].kind == kind {
return events[i].when
}
}
return time.Time{}
}
func sameMinute(got, want time.Time) bool {
diff := got.Sub(want)
if diff < 0 {
diff = -diff
}
return diff <= 2*time.Minute
}

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basic/testdata/planet_apparent_baseline.json vendored Normal file
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@ -0,0 +1,58 @@
[
{
"body": "mercury",
"input_utc": "2026-01-01T00:00:00Z",
"right_ascension": 268.524035973,
"declination": -24.001291126,
"ecliptic_longitude": 268.6516112,
"ecliptic_latitude": -0.5700521
},
{
"body": "venus",
"input_utc": "2026-01-01T00:00:00Z",
"right_ascension": 280.056455581,
"declination": -23.622404581,
"ecliptic_longitude": 279.2064734,
"ecliptic_latitude": -0.5050645
},
{
"body": "mars",
"input_utc": "2026-01-01T00:00:00Z",
"right_ascension": 283.879610807,
"declination": -23.720007274,
"ecliptic_longitude": 282.6881475,
"ecliptic_latitude": -0.8911035
},
{
"body": "jupiter",
"input_utc": "2026-01-01T00:00:00Z",
"right_ascension": 113.124332352,
"declination": 21.979135798,
"ecliptic_longitude": 111.3575894,
"ecliptic_latitude": 0.2391257
},
{
"body": "saturn",
"input_utc": "2026-01-01T00:00:00Z",
"right_ascension": 357.380959207,
"declination": -3.596394732,
"ecliptic_longitude": 356.1672313,
"ecliptic_latitude": -2.2587419
},
{
"body": "uranus",
"input_utc": "2026-01-01T00:00:00Z",
"right_ascension": 55.737099009,
"declination": 19.509648526,
"ecliptic_longitude": 57.9492508,
"ecliptic_latitude": -0.1975992
},
{
"body": "neptune",
"input_utc": "2026-01-01T00:00:00Z",
"right_ascension": 0.077612938,
"declination": -1.418610222,
"ecliptic_longitude": 359.5068407,
"ecliptic_latitude": -1.3324096
}
]

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45
basic/uranus.go
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@ -87,53 +87,22 @@ func UranusApparentRaDec(jd float64) (float64, float64) {
} }
func EarthUranusAway(jd float64) float64 { func EarthUranusAway(jd float64) float64 {
x, y, z := AUranusXYZ(jd) return planetEarthAwayExplicitN(6, jd, -1)
to := math.Sqrt(x*x + y*y + z*z)
return to
} }
func UranusApparentLo(jd float64) float64 { func UranusApparentLo(jd float64) float64 {
x, y, z := AUranusXYZ(jd) geo, _ := planetApparentGeocentricPositionN(6, jd, -1)
to := 0.0057755183 * math.Sqrt(x*x+y*y+z*z) return geo.lo
x, y, z = AUranusXYZ(jd - to)
lo := math.Atan2(y, x)
bo := math.Atan2(z, math.Sqrt(x*x+y*y))
lo = lo * 180 / math.Pi
bo = bo * 180 / math.Pi
lo = Limit360(lo)
//lo-=GXCLo(lo,bo,jd)/3600;
//bo+=GXCBo(lo,bo,jd);
lo += Nutation2000Bi(jd)
return lo
} }
func UranusApparentBo(jd float64) float64 { func UranusApparentBo(jd float64) float64 {
x, y, z := AUranusXYZ(jd) geo, _ := planetApparentGeocentricPositionN(6, jd, -1)
to := 0.0057755183 * math.Sqrt(x*x+y*y+z*z) return geo.bo
x, y, z = AUranusXYZ(jd - to)
//lo := math.Atan2(y, x)
bo := math.Atan2(z, math.Sqrt(x*x+y*y))
//lo = lo * 180 / math.Pi
bo = bo * 180 / math.Pi
//lo+=GXCLo(lo,bo,jd);
//bo+=GXCBo(lo,bo,jd)/3600;
//lo+=Nutation2000Bi(jd);
return bo
} }
func UranusApparentLoBo(jd float64) (float64, float64) { func UranusApparentLoBo(jd float64) (float64, float64) {
x, y, z := AUranusXYZ(jd) geo, _ := planetApparentGeocentricPositionN(6, jd, -1)
to := 0.0057755183 * math.Sqrt(x*x+y*y+z*z) return geo.lo, geo.bo
x, y, z = AUranusXYZ(jd - to)
lo := math.Atan2(y, x)
bo := math.Atan2(z, math.Sqrt(x*x+y*y))
lo = lo * 180 / math.Pi
bo = bo * 180 / math.Pi
lo = Limit360(lo)
//lo-=GXCLo(lo,bo,jd)/3600;
//bo+=GXCBo(lo,bo,jd);
lo += Nutation2000Bi(jd)
return lo, bo
} }
func UranusMag(jd float64) float64 { func UranusMag(jd float64) float64 {

131
basic/uranus_events.go
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@ -40,6 +40,28 @@ func uranusSunLongitudeDeltaN(jde, degree float64, filter bool, n int) float64 {
return sub return sub
} }
func uranusRADerivative(jde, delta float64) float64 {
sub := UranusApparentRa(jde+delta) - UranusApparentRa(jde-delta)
if sub > 180 {
sub -= 360
}
if sub < -180 {
sub += 360
}
return sub / (2 * delta)
}
func uranusRADerivativeN(jde, delta float64, n int) float64 {
sub := UranusApparentRaN(jde+delta, n) - UranusApparentRaN(jde-delta, n)
if sub > 180 {
sub -= 360
}
if sub < -180 {
sub += 360
}
return sub / (2 * delta)
}
func uranusConjunctionFull(jde, degree float64, next uint8) float64 { func uranusConjunctionFull(jde, degree float64, next uint8) float64 {
//0=last 1=next //0=last 1=next
daysPerDegree := URANUS_S_PERIOD / 360 daysPerDegree := URANUS_S_PERIOD / 360
@ -94,113 +116,92 @@ func uranusConjunction(jde, degree float64, next uint8) float64 {
} }
func LastUranusConjunction(jde float64) float64 { func LastUranusConjunction(jde float64) float64 {
return uranusConjunction(jde, 0, 0) return inclusiveLastPhaseEvent(jde, 0, uranusConjunction)
} }
func NextUranusConjunction(jde float64) float64 { func NextUranusConjunction(jde float64) float64 {
return uranusConjunction(jde, 0, 1) return inclusiveNextPhaseEvent(jde, 0, uranusConjunction)
} }
func LastUranusOpposition(jde float64) float64 { func LastUranusOpposition(jde float64) float64 {
return uranusConjunction(jde, 180, 0) return inclusiveLastPhaseEvent(jde, 180, uranusConjunction)
} }
func NextUranusOpposition(jde float64) float64 { func NextUranusOpposition(jde float64) float64 {
return uranusConjunction(jde, 180, 1) return inclusiveNextPhaseEvent(jde, 180, uranusConjunction)
} }
func NextUranusEasternQuadrature(jde float64) float64 { func NextUranusEasternQuadrature(jde float64) float64 {
return uranusConjunction(jde, 90, 1) return inclusiveNextPhaseEvent(jde, 90, uranusConjunction)
} }
func LastUranusEasternQuadrature(jde float64) float64 { func LastUranusEasternQuadrature(jde float64) float64 {
return uranusConjunction(jde, 90, 0) return inclusiveLastPhaseEvent(jde, 90, uranusConjunction)
} }
func NextUranusWesternQuadrature(jde float64) float64 { func NextUranusWesternQuadrature(jde float64) float64 {
return uranusConjunction(jde, 270, 1) return inclusiveNextPhaseEvent(jde, 270, uranusConjunction)
} }
func LastUranusWesternQuadrature(jde float64) float64 { func LastUranusWesternQuadrature(jde float64) float64 {
return uranusConjunction(jde, 270, 0) return inclusiveLastPhaseEvent(jde, 270, uranusConjunction)
} }
func uranusRetrograde(jde float64, searchBeforeOpposition bool) float64 { func uranusRetrogradeAroundOpposition(oppositionJD float64, searchBeforeOpposition bool) float64 {
//0=last 1=next oppositionTT := TD2UT(oppositionJD, true)
raRate := func(jde float64, delta float64) float64 { startTT := oppositionTT
sub := UranusApparentRa(jde+delta) - UranusApparentRa(jde-delta) endTT := oppositionTT
if sub > 180 {
sub -= 360
}
if sub < -180 {
sub += 360
}
return sub / (2 * delta)
}
jde = uranusConjunctionFull(jde, 180, 1)
if searchBeforeOpposition { if searchBeforeOpposition {
jde -= 60 easternQuadratureUT := uranusConjunction(oppositionTT, 90, 0)
startTT = TD2UT(easternQuadratureUT, true)
} else { } else {
jde += 60 westernQuadratureUT := uranusConjunction(oppositionTT, 270, 1)
endTT = TD2UT(westernQuadratureUT, true)
} }
for { bestJD := zeroEventInWindow(startTT, endTT, 2.0, 2.0, 30.0/86400.0, func(jd float64) float64 {
currentRate := raRate(jde, 1.0/86400.0) return uranusRADerivativeN(jd, 1.0/86400.0, uranusEventSearchN)
if math.Abs(currentRate) > 0.55 { }, func(jd float64) float64 {
jde += 2 return uranusRADerivative(jd, 0.5/86400.0)
continue
}
break
}
estimateJD := jde
for {
prevJD := estimateJD
rateValue := raRate(prevJD, 2.0/86400.0)
rateSlope := (raRate(prevJD+15.0/86400.0, 2.0/86400.0) - raRate(prevJD-15.0/86400.0, 2.0/86400.0)) / (30.0 / 86400.0)
estimateJD = prevJD - rateValue/rateSlope
if math.Abs(estimateJD-prevJD) <= 30.0/86400.0 {
break
}
}
bestJD := eventZeroRefine(estimateJD, 15.0/86400.0, 0.5/86400.0, func(jd float64) float64 {
return raRate(jd, 0.5/86400.0)
}) })
return TD2UT(bestJD, false) return TD2UT(bestJD, false)
} }
func NextUranusRetrogradeToPrograde(jde float64) float64 { func NextUranusRetrogradeToPrograde(jde float64) float64 {
date := uranusRetrograde(jde, false) lastOppositionJD := uranusConjunctionFull(jde, 180, 0)
if date < jde { date := uranusRetrogradeAroundOpposition(lastOppositionJD, false)
oppositionJD := uranusConjunctionFull(jde, 180, 1) if sameEventUTQueryTT(date, jde) || eventUTQueryAfterOrEqual(date, jde) {
return uranusRetrograde(oppositionJD+10, false)
}
return date return date
} }
nextOppositionJD := uranusConjunctionFull(jde, 180, 1)
return uranusRetrogradeAroundOpposition(nextOppositionJD, false)
}
func LastUranusRetrogradeToPrograde(jde float64) float64 { func LastUranusRetrogradeToPrograde(jde float64) float64 {
jde = uranusConjunctionFull(jde, 180, 0) - 10 lastOppositionJD := uranusConjunctionFull(jde, 180, 0)
date := uranusRetrograde(jde, false) date := uranusRetrogradeAroundOpposition(lastOppositionJD, false)
if date > jde { if sameEventUTQueryTT(date, jde) || eventUTQueryBeforeOrEqual(date, jde) {
oppositionJD := uranusConjunctionFull(jde, 180, 0)
return uranusRetrograde(oppositionJD-10, false)
}
return date return date
} }
previousOppositionJD := uranusConjunctionFull(eventUTLastQueryTT(lastOppositionJD), 180, 0)
return uranusRetrogradeAroundOpposition(previousOppositionJD, false)
}
func NextUranusProgradeToRetrograde(jde float64) float64 { func NextUranusProgradeToRetrograde(jde float64) float64 {
date := uranusRetrograde(jde, true) nextOppositionJD := uranusConjunctionFull(jde, 180, 1)
if date < jde { date := uranusRetrogradeAroundOpposition(nextOppositionJD, true)
oppositionJD := uranusConjunctionFull(jde, 180, 1) if sameEventUTQueryTT(date, jde) || eventUTQueryAfterOrEqual(date, jde) {
return uranusRetrograde(oppositionJD+10, true)
}
return date return date
} }
followingOppositionJD := uranusConjunctionFull(eventUTNextQueryTT(nextOppositionJD), 180, 1)
return uranusRetrogradeAroundOpposition(followingOppositionJD, true)
}
func LastUranusProgradeToRetrograde(jde float64) float64 { func LastUranusProgradeToRetrograde(jde float64) float64 {
jde = uranusConjunctionFull(jde, 180, 0) - 10 nextOppositionJD := uranusConjunctionFull(jde, 180, 1)
date := uranusRetrograde(jde, true) date := uranusRetrogradeAroundOpposition(nextOppositionJD, true)
if date > jde { if sameEventUTQueryTT(date, jde) || eventUTQueryBeforeOrEqual(date, jde) {
oppositionJD := uranusConjunctionFull(jde, 180, 0)
return uranusRetrograde(oppositionJD-10, true)
}
return date return date
} }
lastOppositionJD := uranusConjunctionFull(jde, 180, 0)
return uranusRetrogradeAroundOpposition(lastOppositionJD, true)
}

45
basic/venus.go
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@ -87,53 +87,22 @@ func VenusApparentRaDec(jd float64) (float64, float64) {
} }
func EarthVenusAway(jd float64) float64 { func EarthVenusAway(jd float64) float64 {
x, y, z := AVenusXYZ(jd) return planetEarthAwayExplicitN(2, jd, -1)
to := math.Sqrt(x*x + y*y + z*z)
return to
} }
func VenusApparentLo(jd float64) float64 { func VenusApparentLo(jd float64) float64 {
x, y, z := AVenusXYZ(jd) geo, _ := planetApparentGeocentricPositionN(2, jd, -1)
to := 0.0057755183 * math.Sqrt(x*x+y*y+z*z) return geo.lo
x, y, z = AVenusXYZ(jd - to)
lo := math.Atan2(y, x)
bo := math.Atan2(z, math.Sqrt(x*x+y*y))
lo = lo * 180 / math.Pi
bo = bo * 180 / math.Pi
lo = Limit360(lo)
//lo-=GXCLo(lo,bo,jd)/3600;
//bo+=GXCBo(lo,bo,jd);
lo += Nutation2000Bi(jd)
return lo
} }
func VenusApparentBo(jd float64) float64 { func VenusApparentBo(jd float64) float64 {
x, y, z := AVenusXYZ(jd) geo, _ := planetApparentGeocentricPositionN(2, jd, -1)
to := 0.0057755183 * math.Sqrt(x*x+y*y+z*z) return geo.bo
x, y, z = AVenusXYZ(jd - to)
//lo := math.Atan2(y, x)
bo := math.Atan2(z, math.Sqrt(x*x+y*y))
//lo = lo * 180 / math.Pi
bo = bo * 180 / math.Pi
//lo+=GXCLo(lo,bo,jd);
//bo+=GXCBo(lo,bo,jd)/3600;
//lo+=Nutation2000Bi(jd);
return bo
} }
func VenusApparentLoBo(jd float64) (float64, float64) { func VenusApparentLoBo(jd float64) (float64, float64) {
x, y, z := AVenusXYZ(jd) geo, _ := planetApparentGeocentricPositionN(2, jd, -1)
to := 0.0057755183 * math.Sqrt(x*x+y*y+z*z) return geo.lo, geo.bo
x, y, z = AVenusXYZ(jd - to)
lo := math.Atan2(y, x)
bo := math.Atan2(z, math.Sqrt(x*x+y*y))
lo = lo * 180 / math.Pi
bo = bo * 180 / math.Pi
lo = Limit360(lo)
//lo-=GXCLo(lo,bo,jd)/3600;
//bo+=GXCBo(lo,bo,jd);
lo += Nutation2000Bi(jd)
return lo, bo
} }
func VenusMag(jd float64) float64 { func VenusMag(jd float64) float64 {

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basic/venus_events.go
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@ -3,6 +3,7 @@ package basic
import ( import (
"math" "math"
"b612.me/astro/planet"
. "b612.me/astro/tools" . "b612.me/astro/tools"
) )
@ -33,6 +34,23 @@ func venusSunLongitudeDeltaN(jde float64, n int) float64 {
return sub return sub
} }
func venusConjunctionAngleDelta(diff float64) float64 {
diff = Limit360(diff)
if diff > 180 {
diff -= 360
}
if diff < -180 {
diff += 360
}
return diff
}
func venusConjunctionHeliocentricDelta(jd, targetDeg float64, n int) float64 {
planetLo := planet.WherePlanetN(2, 0, jd, n)
earthLo := planet.WherePlanetN(-1, 0, jd, n)
return venusConjunctionAngleDelta(planetLo - earthLo - targetDeg)
}
func venusSunRADelta(jde float64) float64 { func venusSunRADelta(jde float64) float64 {
sub := Limit360(VenusApparentRa(jde) - SunApparentRa(jde)) sub := Limit360(VenusApparentRa(jde) - SunApparentRa(jde))
if sub > 180 { if sub > 180 {
@ -66,13 +84,94 @@ func venusRADerivativeN(jde, val float64, n int) float64 {
return sub / (2 * val) return sub / (2 * val)
} }
func venusRAContinuousForMax(jde float64) float64 {
ra := VenusApparentRa(jde)
if ra < 180 {
return ra + 360
}
return ra
}
func venusRAContinuousForMaxN(jde float64, n int) float64 {
ra := VenusApparentRaN(jde, n)
if ra < 180 {
return ra + 360
}
return ra
}
func venusRAContinuousForMin(jde float64) float64 {
ra := VenusApparentRa(jde)
if ra > 180 {
return ra - 360
}
return ra
}
func venusRAContinuousForMinN(jde float64, n int) float64 {
ra := VenusApparentRaN(jde, n)
if ra > 180 {
return ra - 360
}
return ra
}
func venusRAExtremumRefine(seed, start, end, step float64, fn func(float64) float64) float64 {
centerJD := clampFloat64(seed, start, end)
halfStep := step
bestJD := centerJD
bestVal := fn(centerJD)
for i := 0; i < 8; i++ {
leftJD := clampFloat64(centerJD-halfStep, start, end)
rightJD := clampFloat64(centerJD+halfStep, start, end)
leftVal := fn(leftJD)
centerVal := fn(centerJD)
rightVal := fn(rightJD)
if leftVal > bestVal {
bestVal = leftVal
bestJD = leftJD
}
if centerVal > bestVal {
bestVal = centerVal
bestJD = centerJD
}
if rightVal > bestVal {
bestVal = rightVal
bestJD = rightJD
}
denominator := leftVal - 2*centerVal + rightVal
if denominator == 0 {
centerJD = bestJD
halfStep /= 2
continue
}
vertexJD := centerJD + 0.5*halfStep*(leftVal-rightVal)/denominator
vertexJD = clampFloat64(vertexJD, leftJD, rightJD)
vertexVal := fn(vertexJD)
if vertexVal > bestVal {
bestVal = vertexVal
bestJD = vertexJD
}
centerJD = bestJD
halfStep /= 2
}
return bestJD
}
func venusSunElongationN(jde float64, n int) float64 { func venusSunElongationN(jde float64, n int) float64 {
lo1, bo1 := VenusApparentLoBoN(jde, n) lo1, bo1 := VenusApparentLoBoN(jde, n)
lo2 := SunApparentLo(jde) lo2 := HSunApparentLoN(jde, n)
bo2 := HSunTrueBoN(jde, n) bo2 := HSunTrueBoN(jde, n)
return StarAngularSeparation(lo1, bo1, lo2, bo2) return StarAngularSeparation(lo1, bo1, lo2, bo2)
} }
func venusTrueElongationN(jde float64, n int) float64 {
earth := mercuryHelioN(-1, jde, n)
planetPos := mercuryHelioN(2, jde, n)
geo := mercuryGeocentric(planetPos, earth)
return StarAngularSeparation(geo.lo, geo.bo, HSunTrueLoN(jde, n), HSunTrueBoN(jde, n))
}
func venusElongationDerivative(jde, val float64) float64 { func venusElongationDerivative(jde, val float64) float64 {
sub := VenusSunElongation(jde+val) - VenusSunElongation(jde-val) sub := VenusSunElongation(jde+val) - VenusSunElongation(jde-val)
if sub > 180 { if sub > 180 {
@ -96,91 +195,98 @@ func venusElongationDerivativeN(jde, val float64, n int) float64 {
} }
func venusConjunction(jde float64, next uint8) float64 { func venusConjunction(jde float64, next uint8) float64 {
//0=last 1=next queryTT := jde
nowSub := venusSunLongitudeDeltaN(jde, venusEventSearchN) direction := -1.0
pos := math.Abs(venusSunLongitudeDeltaN(jde+1/86400.0, venusEventSearchN)) - math.Abs(nowSub)
if pos >= 0 && next == 1 && nowSub > 0 {
jde += VENUS_S_PERIOD/8.0 + 2
}
if pos >= 0 && next == 1 && nowSub < 0 {
jde += VENUS_S_PERIOD/6.0 + 2
}
if pos <= 0 && next == 0 && nowSub < 0 {
jde -= VENUS_S_PERIOD/8.0 + 2
}
if pos <= 0 && next == 0 && nowSub > 0 {
jde -= VENUS_S_PERIOD/6.0 + 2
}
for {
nowSub := venusSunLongitudeDeltaN(jde, venusEventSearchN)
pos := math.Abs(venusSunLongitudeDeltaN(jde+1/86400.0, venusEventSearchN)) - math.Abs(nowSub)
if math.Abs(nowSub) > 24 || (pos > 0 && next == 1) || (pos < 0 && next == 0) {
if next == 1 { if next == 1 {
jde += 8 direction = 1
} else {
jde -= 8
} }
continue left := queryTT
} leftVal := venusSunLongitudeDeltaN(left, venusEventSearchN)
break if math.Abs(leftVal) <= 30.0/86400.0 {
} exact := eventZeroRefine(left, 1.0, 0.000005, venusSunLongitudeDelta)
JD1 := jde if math.Abs(exact-queryTT) <= 1.0 {
for { return TD2UT(exact, false)
JD0 := JD1
stDegree := venusSunLongitudeDelta(JD0)
stDegreep := (venusSunLongitudeDelta(JD0+0.000005) - venusSunLongitudeDelta(JD0-0.000005)) / 0.00001
JD1 = JD0 - stDegree/stDegreep
if math.Abs(JD1-JD0) <= 0.00001 {
break
} }
} }
return TD2UT(JD1, false) const step = 8.0
for i := 0; i < 80; i++ {
right := queryTT + direction*step*float64(i+1)
rightVal := venusSunLongitudeDeltaN(right, venusEventSearchN)
if leftVal == 0 || rightVal == 0 || leftVal*rightVal <= 0 {
center := (left + right) / 2.0
halfWindow := math.Abs(right-left) / 2.0
return TD2UT(eventZeroRefine(center, halfWindow, 0.000005, venusSunLongitudeDelta), false)
}
left = right
leftVal = rightVal
}
return TD2UT(eventZeroRefine(queryTT, VENUS_S_PERIOD, 0.000005, venusSunLongitudeDelta), false)
}
func venusConjunctionTypeAt(eventUT float64) bool {
return EarthVenusAway(eventUT) <= EarthAway(eventUT)
}
func nextVenusTypedConjunctionFromEvent(jde float64, inferior bool) float64 {
date := NextVenusConjunctionStrict(jde)
if venusConjunctionTypeAt(date) == inferior {
return date
}
return NextVenusConjunctionStrict(eventUTNextQueryTT(date))
}
func lastVenusTypedConjunctionFromEvent(jde float64, inferior bool) float64 {
date := LastVenusConjunctionStrict(jde)
if venusConjunctionTypeAt(date) == inferior {
return date
}
return LastVenusConjunctionStrict(eventUTLastQueryTT(date))
} }
func LastVenusConjunction(jde float64) float64 { func LastVenusConjunction(jde float64) float64 {
return venusConjunction(jde, 0) return inclusiveLastSimpleEvent(jde, LastVenusConjunctionStrict, NextVenusConjunctionStrict)
} }
func NextVenusConjunction(jde float64) float64 { func NextVenusConjunction(jde float64) float64 {
return inclusiveNextSimpleEvent(jde, LastVenusConjunctionStrict, NextVenusConjunctionStrict)
}
func LastVenusConjunctionStrict(jde float64) float64 {
return venusConjunction(jde, 0)
}
func NextVenusConjunctionStrict(jde float64) float64 {
return venusConjunction(jde, 1) return venusConjunction(jde, 1)
} }
func NextVenusInferiorConjunction(jde float64) float64 { func nextVenusTypedConjunction(jde float64, inferior bool) float64 {
date := NextVenusConjunction(jde) return nextVenusTypedConjunctionFromEvent(jde, inferior)
if EarthVenusAway(date) > EarthAway(date) {
return NextVenusConjunction(date + 2)
} }
return date
func lastVenusTypedConjunction(jde float64, inferior bool) float64 {
return lastVenusTypedConjunctionFromEvent(jde, inferior)
}
func NextVenusInferiorConjunction(jde float64) float64 {
return nextVenusTypedConjunction(jde, true)
} }
func NextVenusSuperiorConjunction(jde float64) float64 { func NextVenusSuperiorConjunction(jde float64) float64 {
date := NextVenusConjunction(jde) return nextVenusTypedConjunction(jde, false)
if EarthVenusAway(date) < EarthAway(date) {
return NextVenusConjunction(date + 2)
}
return date
} }
func LastVenusInferiorConjunction(jde float64) float64 { func LastVenusInferiorConjunction(jde float64) float64 {
date := LastVenusConjunction(jde) return lastVenusTypedConjunction(jde, true)
if EarthVenusAway(date) > EarthAway(date) {
return LastVenusConjunction(date - 2)
}
return date
} }
func LastVenusSuperiorConjunction(jde float64) float64 { func LastVenusSuperiorConjunction(jde float64) float64 {
date := LastVenusConjunction(jde) return lastVenusTypedConjunction(jde, false)
if EarthVenusAway(date) < EarthAway(date) {
return LastVenusConjunction(date - 2)
}
return date
} }
func venusRetrograde(jde float64) float64 { func venusRetrograde(jde float64) float64 {
//0=last 1=next //0=last 1=next
lastHe := LastVenusConjunction(jde) lastHe := LastVenusConjunctionStrict(jde)
nextHe := NextVenusConjunction(jde) nextHe := NextVenusConjunctionStrict(jde)
nowSub := venusSunRADelta(jde) nowSub := venusSunRADelta(jde)
if nowSub > 0 { if nowSub > 0 {
jde = lastHe + ((nextHe - lastHe) / 5.0 * 3.5) jde = lastHe + ((nextHe - lastHe) / 5.0 * 3.5)
@ -213,152 +319,317 @@ func venusRetrograde(jde float64) float64 {
} }
func NextVenusRetrograde(jde float64) float64 { func NextVenusRetrograde(jde float64) float64 {
date := venusRetrograde(jde) p2r := NextVenusProgradeToRetrograde(jde)
if date < jde { r2p := NextVenusRetrogradeToPrograde(jde)
nextHe := NextVenusConjunction(jde) if sameEventJD(p2r, r2p) {
return venusRetrograde(nextHe + 2) return p2r
} }
return date if p2r < r2p {
return p2r
}
return r2p
} }
func LastVenusRetrograde(jde float64) float64 { func LastVenusRetrograde(jde float64) float64 {
lastHe := LastVenusConjunction(jde) p2r := LastVenusProgradeToRetrograde(jde)
date := venusRetrograde(lastHe + 2) r2p := LastVenusRetrogradeToPrograde(jde)
if date > jde { if sameEventJD(p2r, r2p) {
lastLastHe := LastVenusConjunction(lastHe - 2) return p2r
return venusRetrograde(lastLastHe + 2)
} }
return date if p2r > r2p {
return p2r
}
return r2p
}
func venusStationInWindow(start, end float64, progradeToRetrograde bool) float64 {
var best float64
if progradeToRetrograde {
guess := scanWindowForMax(start, end, 2.0, func(jd float64) float64 {
return venusRAContinuousForMaxN(jd, venusEventSearchN)
})
best = venusRAExtremumRefine(guess, start, end, 1.0, func(jd float64) float64 {
return venusRAContinuousForMax(jd)
})
} else {
guess := scanWindowForMax(start, end, 2.0, func(jd float64) float64 {
return -venusRAContinuousForMinN(jd, venusEventSearchN)
})
best = venusRAExtremumRefine(guess, start, end, 1.0, func(jd float64) float64 {
return -venusRAContinuousForMin(jd)
})
}
return TD2UT(best, false)
}
func venusProgradeToRetrogradeAroundInferior(inferior float64) float64 {
return venusStationInWindow(inferior-30.0, inferior-14.0, true)
}
func venusRetrogradeToProgradeAroundInferior(inferior float64) float64 {
return venusStationInWindow(inferior+14.0, inferior+24.0, false)
} }
func NextVenusProgradeToRetrograde(jde float64) float64 { func NextVenusProgradeToRetrograde(jde float64) float64 {
date := NextVenusRetrograde(jde) inferior := NextVenusInferiorConjunction(jde)
sub := Limit360(VenusApparentRa(date) - SunApparentRa(date)) for {
if sub > 180 { date := venusProgradeToRetrogradeAroundInferior(inferior)
return NextVenusRetrograde(date + VENUS_S_PERIOD/2) if eventUTQueryAfterOrEqual(date, jde) {
}
return date return date
} }
inferior = NextVenusInferiorConjunction(eventUTNextQueryTT(inferior))
}
}
func NextVenusRetrogradeToPrograde(jde float64) float64 { func NextVenusRetrogradeToPrograde(jde float64) float64 {
date := NextVenusRetrograde(jde) inferior := LastVenusInferiorConjunction(jde)
sub := Limit360(VenusApparentRa(date) - SunApparentRa(date)) for {
if sub < 180 { date := venusRetrogradeToProgradeAroundInferior(inferior)
return NextVenusRetrograde(date + 12) if eventUTQueryAfterOrEqual(date, jde) {
}
return date return date
} }
inferior = NextVenusInferiorConjunction(eventUTNextQueryTT(inferior))
}
}
func LastVenusProgradeToRetrograde(jde float64) float64 { func LastVenusProgradeToRetrograde(jde float64) float64 {
date := LastVenusRetrograde(jde) inferior := NextVenusInferiorConjunction(jde)
sub := Limit360(VenusApparentRa(date) - SunApparentRa(date)) for {
if sub > 180 { date := venusProgradeToRetrogradeAroundInferior(inferior)
return LastVenusRetrograde(date - 12) if eventUTQueryBeforeOrEqual(date, jde) {
}
return date return date
} }
inferior = LastVenusInferiorConjunction(eventUTLastQueryTT(inferior))
}
}
func LastVenusRetrogradeToPrograde(jde float64) float64 { func LastVenusRetrogradeToPrograde(jde float64) float64 {
date := LastVenusRetrograde(jde) inferior := LastVenusInferiorConjunction(jde)
sub := Limit360(VenusApparentRa(date) - SunApparentRa(date)) for {
if sub < 180 { date := venusRetrogradeToProgradeAroundInferior(inferior)
return LastVenusRetrograde(date - VENUS_S_PERIOD/2) if eventUTQueryBeforeOrEqual(date, jde) {
}
return date return date
} }
inferior = LastVenusInferiorConjunction(eventUTLastQueryTT(inferior))
}
}
func VenusSunElongation(jde float64) float64 { func VenusSunElongation(jde float64) float64 {
lo1, bo1 := VenusApparentLoBo(jde) lo1, bo1 := VenusApparentLoBo(jde)
lo2 := SunApparentLo(jde) lo2 := HSunApparentLo(jde)
bo2 := HSunTrueBo(jde) bo2 := HSunTrueBo(jde)
return StarAngularSeparation(lo1, bo1, lo2, bo2) return StarAngularSeparation(lo1, bo1, lo2, bo2)
} }
func venusGreatestElongation(jde float64) float64 { func venusGreatestElongationInWindow(start, end float64) float64 {
lastHe := LastVenusConjunction(jde) best := maximizeInWindow(start, end, 5.0, func(jd float64) float64 {
nextHe := NextVenusConjunction(jde) return venusTrueElongationN(jd, venusEventSearchN)
nowSub := venusSunRADelta(jde) }, func(jd float64) float64 {
if nowSub > 0 { return venusTrueElongationN(jd, -1)
jde = lastHe + ((nextHe - lastHe) / 5.0 * 2.5)
} else {
jde = lastHe + ((nextHe - lastHe) / 5.0)
}
for {
nowSub := venusElongationDerivativeN(jde, 1.0/86400.0, venusEventSearchN)
if math.Abs(nowSub) > 0.15 {
jde += 5
continue
}
break
}
JD1 := jde
for {
JD0 := JD1
stDegree := venusElongationDerivative(JD0, 2.0/86400.0)
stDegreep := (venusElongationDerivative(JD0+15.0/86400.0, 2.0/86400.0) - venusElongationDerivative(JD0-15.0/86400.0, 2.0/86400.0)) / (30.0 / 86400.0)
JD1 = JD0 - stDegree/stDegreep
if math.Abs(JD1-JD0) <= 30.0/86400.0 {
break
}
}
min := eventZeroRefine(JD1, 15.0/86400.0, 0.5/86400.0, func(jd float64) float64 {
return venusElongationDerivative(jd, 0.5/86400.0)
}) })
//fmt.Println((min - lastHe) / (nextHe - lastHe)) return TD2UT(best, false)
return TD2UT(min, false) }
func venusEastElongationWindowEndingAt(inferior float64) (float64, float64) {
lastSuperior := LastVenusSuperiorConjunction(eventUTLastQueryTT(inferior))
return lastSuperior + innerEventEpsilon, inferior - innerEventEpsilon
}
func venusWestElongationWindowEndingAt(superior float64) (float64, float64) {
lastInferior := LastVenusInferiorConjunction(eventUTLastQueryTT(superior))
return lastInferior + innerEventEpsilon, superior - innerEventEpsilon
}
func venusEastElongationWindowContaining(jde float64) (float64, float64) {
nextInferior := NextVenusInferiorConjunction(jde)
start, end := venusEastElongationWindowEndingAt(nextInferior)
if eventUTQueryBeforeOrEqual(start, jde) && eventUTQueryAfterOrEqual(end, jde) {
return start, end
}
currentInferior := LastVenusInferiorConjunction(jde)
return venusEastElongationWindowEndingAt(currentInferior)
}
func venusWestElongationWindowContaining(jde float64) (float64, float64) {
nextSuperior := NextVenusSuperiorConjunction(jde)
start, end := venusWestElongationWindowEndingAt(nextSuperior)
if eventUTQueryBeforeOrEqual(start, jde) && eventUTQueryAfterOrEqual(end, jde) {
return start, end
}
currentSuperior := LastVenusSuperiorConjunction(jde)
return venusWestElongationWindowEndingAt(currentSuperior)
}
func nextVenusGreatestElongationTyped(jde float64, east bool) float64 {
if east {
start, windowEnd := venusEastElongationWindowContaining(jde)
for {
date := venusGreatestElongationInWindow(start, windowEnd)
if eventUTQueryAfterOrEqual(date, jde) {
return date
}
nextInferior := NextVenusInferiorConjunction(eventUTNextQueryTT(windowEnd))
start, windowEnd = venusEastElongationWindowEndingAt(nextInferior)
}
}
start, windowEnd := venusWestElongationWindowContaining(jde)
for {
date := venusGreatestElongationInWindow(start, windowEnd)
if eventUTQueryAfterOrEqual(date, jde) {
return date
}
nextSuperior := NextVenusSuperiorConjunction(eventUTNextQueryTT(windowEnd))
start, windowEnd = venusWestElongationWindowEndingAt(nextSuperior)
}
}
func lastVenusGreatestElongationTyped(jde float64, east bool) float64 {
if east {
start, windowEnd := venusEastElongationWindowContaining(jde)
for {
date := venusGreatestElongationInWindow(start, windowEnd)
if eventUTQueryBeforeOrEqual(date, jde) {
return date
}
prevInferior := LastVenusInferiorConjunction(eventUTLastQueryTT(start))
start, windowEnd = venusEastElongationWindowEndingAt(prevInferior)
}
}
start, windowEnd := venusWestElongationWindowContaining(jde)
for {
date := venusGreatestElongationInWindow(start, windowEnd)
if eventUTQueryBeforeOrEqual(date, jde) {
return date
}
prevSuperior := LastVenusSuperiorConjunction(eventUTLastQueryTT(start))
start, windowEnd = venusWestElongationWindowEndingAt(prevSuperior)
}
}
func venusGreatestElongation(jde float64) float64 {
east := venusSunRADelta(jde) > 0
if east {
return nextVenusGreatestElongationTyped(jde, true)
}
return nextVenusGreatestElongationTyped(jde, false)
} }
func NextVenusGreatestElongation(jde float64) float64 { func NextVenusGreatestElongation(jde float64) float64 {
date := venusGreatestElongation(jde) east := NextVenusGreatestElongationEast(jde)
if date < jde { west := NextVenusGreatestElongationWest(jde)
nextHe := NextVenusConjunction(jde) if sameEventJD(east, west) {
return venusGreatestElongation(nextHe + 2) return east
} }
return date if east < west {
return east
}
return west
} }
func LastVenusGreatestElongation(jde float64) float64 { func LastVenusGreatestElongation(jde float64) float64 {
lastHe := LastVenusConjunction(jde) east := LastVenusGreatestElongationEast(jde)
date := venusGreatestElongation(lastHe + 2) west := LastVenusGreatestElongationWest(jde)
if date > jde { if sameEventJD(east, west) {
lastLastHe := LastVenusConjunction(lastHe - 2) return east
return venusGreatestElongation(lastLastHe + 2)
} }
if east > west {
return east
}
return west
}
func LastVenusInferiorConjunctionInclusive(jde float64) float64 {
date := LastVenusConjunction(jde)
if venusConjunctionTypeAt(date) {
return date return date
} }
return LastVenusConjunction(eventUTLastQueryTT(date))
}
func NextVenusInferiorConjunctionInclusive(jde float64) float64 {
date := NextVenusConjunction(jde)
if venusConjunctionTypeAt(date) {
return date
}
return NextVenusConjunction(eventUTNextQueryTT(date))
}
func LastVenusSuperiorConjunctionInclusive(jde float64) float64 {
date := LastVenusConjunction(jde)
if !venusConjunctionTypeAt(date) {
return date
}
return LastVenusConjunction(eventUTLastQueryTT(date))
}
func NextVenusSuperiorConjunctionInclusive(jde float64) float64 {
date := NextVenusConjunction(jde)
if !venusConjunctionTypeAt(date) {
return date
}
return NextVenusConjunction(eventUTNextQueryTT(date))
}
func LastVenusRetrogradeInclusive(jde float64) float64 {
return inclusiveLastSimpleEvent(jde, LastVenusRetrograde, NextVenusRetrograde)
}
func NextVenusRetrogradeInclusive(jde float64) float64 {
return inclusiveNextSimpleEvent(jde, LastVenusRetrograde, NextVenusRetrograde)
}
func LastVenusProgradeToRetrogradeInclusive(jde float64) float64 {
return inclusiveLastSimpleEvent(jde, LastVenusProgradeToRetrograde, NextVenusProgradeToRetrograde)
}
func NextVenusProgradeToRetrogradeInclusive(jde float64) float64 {
return inclusiveNextSimpleEvent(jde, LastVenusProgradeToRetrograde, NextVenusProgradeToRetrograde)
}
func LastVenusRetrogradeToProgradeInclusive(jde float64) float64 {
return inclusiveLastSimpleEvent(jde, LastVenusRetrogradeToPrograde, NextVenusRetrogradeToPrograde)
}
func NextVenusRetrogradeToProgradeInclusive(jde float64) float64 {
return inclusiveNextSimpleEvent(jde, LastVenusRetrogradeToPrograde, NextVenusRetrogradeToPrograde)
}
func LastVenusGreatestElongationInclusive(jde float64) float64 {
return inclusiveLastSimpleEvent(jde, LastVenusGreatestElongation, NextVenusGreatestElongation)
}
func NextVenusGreatestElongationInclusive(jde float64) float64 {
return inclusiveNextSimpleEvent(jde, LastVenusGreatestElongation, NextVenusGreatestElongation)
}
func LastVenusGreatestElongationEastInclusive(jde float64) float64 {
return inclusiveLastSimpleEvent(jde, LastVenusGreatestElongationEast, NextVenusGreatestElongationEast)
}
func NextVenusGreatestElongationEastInclusive(jde float64) float64 {
return inclusiveNextSimpleEvent(jde, LastVenusGreatestElongationEast, NextVenusGreatestElongationEast)
}
func LastVenusGreatestElongationWestInclusive(jde float64) float64 {
return inclusiveLastSimpleEvent(jde, LastVenusGreatestElongationWest, NextVenusGreatestElongationWest)
}
func NextVenusGreatestElongationWestInclusive(jde float64) float64 {
return inclusiveNextSimpleEvent(jde, LastVenusGreatestElongationWest, NextVenusGreatestElongationWest)
}
func NextVenusGreatestElongationEast(jde float64) float64 { func NextVenusGreatestElongationEast(jde float64) float64 {
date := NextVenusGreatestElongation(jde) return nextVenusGreatestElongationTyped(jde, true)
sub := Limit360(VenusApparentRa(date) - SunApparentRa(date))
if sub > 180 {
return NextVenusGreatestElongation(date + 1)
}
return date
} }
func NextVenusGreatestElongationWest(jde float64) float64 { func NextVenusGreatestElongationWest(jde float64) float64 {
date := NextVenusGreatestElongation(jde) return nextVenusGreatestElongationTyped(jde, false)
sub := Limit360(VenusApparentRa(date) - SunApparentRa(date))
if sub < 180 {
return NextVenusGreatestElongation(date + 1)
}
return date
} }
func LastVenusGreatestElongationEast(jde float64) float64 { func LastVenusGreatestElongationEast(jde float64) float64 {
date := LastVenusGreatestElongation(jde) return lastVenusGreatestElongationTyped(jde, true)
sub := Limit360(VenusApparentRa(date) - SunApparentRa(date))
if sub > 180 {
return LastVenusGreatestElongation(date - 1)
}
return date
} }
func LastVenusGreatestElongationWest(jde float64) float64 { func LastVenusGreatestElongationWest(jde float64) float64 {
date := LastVenusGreatestElongation(jde) return lastVenusGreatestElongationTyped(jde, false)
sub := Limit360(VenusApparentRa(date) - SunApparentRa(date))
if sub < 180 {
return LastVenusGreatestElongation(date - 1)
}
return date
} }

100
event_boundary_public_test.go Normal file
View File

@ -0,0 +1,100 @@
package astro_test
import (
"math"
"testing"
"time"
"b612.me/astro/basic"
"b612.me/astro/jupiter"
"b612.me/astro/mars"
"b612.me/astro/mercury"
"b612.me/astro/neptune"
"b612.me/astro/saturn"
"b612.me/astro/uranus"
"b612.me/astro/venus"
)
func TestPublicPlanetEventBoundaryIncludesCurrent(t *testing.T) {
type eventFuncs struct {
last func(time.Time) time.Time
next func(time.Time) time.Time
}
cases := []struct {
name string
eventUT float64
funcs eventFuncs
}{
{name: "MercuryConjunction", eventUT: basic.NextMercuryConjunction(eventBoundaryTT(2026)), funcs: eventFuncs{last: mercury.LastConjunction, next: mercury.NextConjunction}},
{name: "MercuryInferior", eventUT: basic.NextMercuryInferiorConjunctionInclusive(eventBoundaryTT(2026)), funcs: eventFuncs{last: mercury.LastInferiorConjunction, next: mercury.NextInferiorConjunction}},
{name: "MercurySuperior", eventUT: basic.NextMercurySuperiorConjunctionInclusive(eventBoundaryTT(2026)), funcs: eventFuncs{last: mercury.LastSuperiorConjunction, next: mercury.NextSuperiorConjunction}},
{name: "MercuryRetrograde", eventUT: basic.NextMercuryRetrogradeInclusive(eventBoundaryTT(2026)), funcs: eventFuncs{last: mercury.LastRetrograde, next: mercury.NextRetrograde}},
{name: "MercuryP2R", eventUT: basic.NextMercuryProgradeToRetrogradeInclusive(eventBoundaryTT(2026)), funcs: eventFuncs{last: mercury.LastProgradeToRetrograde, next: mercury.NextProgradeToRetrograde}},
{name: "MercuryR2P", eventUT: basic.NextMercuryRetrogradeToProgradeInclusive(eventBoundaryTT(2026)), funcs: eventFuncs{last: mercury.LastRetrogradeToPrograde, next: mercury.NextRetrogradeToPrograde}},
{name: "MercuryGreatestElongation", eventUT: basic.NextMercuryGreatestElongationInclusive(eventBoundaryTT(2026)), funcs: eventFuncs{last: mercury.LastGreatestElongation, next: mercury.NextGreatestElongation}},
{name: "MercuryGreatestElongationEast", eventUT: basic.NextMercuryGreatestElongationEastInclusive(eventBoundaryTT(2026)), funcs: eventFuncs{last: mercury.LastGreatestElongationEast, next: mercury.NextGreatestElongationEast}},
{name: "MercuryGreatestElongationWest", eventUT: basic.NextMercuryGreatestElongationWestInclusive(eventBoundaryTT(2026)), funcs: eventFuncs{last: mercury.LastGreatestElongationWest, next: mercury.NextGreatestElongationWest}},
{name: "VenusConjunction", eventUT: basic.NextVenusConjunction(eventBoundaryTT(2026)), funcs: eventFuncs{last: venus.LastConjunction, next: venus.NextConjunction}},
{name: "VenusInferior", eventUT: basic.NextVenusInferiorConjunctionInclusive(eventBoundaryTT(2026)), funcs: eventFuncs{last: venus.LastInferiorConjunction, next: venus.NextInferiorConjunction}},
{name: "VenusSuperior", eventUT: basic.NextVenusSuperiorConjunctionInclusive(eventBoundaryTT(2026)), funcs: eventFuncs{last: venus.LastSuperiorConjunction, next: venus.NextSuperiorConjunction}},
{name: "VenusRetrograde", eventUT: basic.NextVenusRetrogradeInclusive(eventBoundaryTT(2026)), funcs: eventFuncs{last: venus.LastRetrograde, next: venus.NextRetrograde}},
{name: "VenusP2R", eventUT: basic.NextVenusProgradeToRetrogradeInclusive(eventBoundaryTT(2026)), funcs: eventFuncs{last: venus.LastProgradeToRetrograde, next: venus.NextProgradeToRetrograde}},
{name: "VenusR2P", eventUT: basic.NextVenusRetrogradeToProgradeInclusive(eventBoundaryTT(2026)), funcs: eventFuncs{last: venus.LastRetrogradeToPrograde, next: venus.NextRetrogradeToPrograde}},
{name: "VenusGreatestElongation", eventUT: basic.NextVenusGreatestElongationInclusive(eventBoundaryTT(2026)), funcs: eventFuncs{last: venus.LastGreatestElongation, next: venus.NextGreatestElongation}},
{name: "VenusGreatestElongationEast", eventUT: basic.NextVenusGreatestElongationEastInclusive(eventBoundaryTT(2026)), funcs: eventFuncs{last: venus.LastGreatestElongationEast, next: venus.NextGreatestElongationEast}},
{name: "VenusGreatestElongationWest", eventUT: basic.NextVenusGreatestElongationWestInclusive(eventBoundaryTT(2026)), funcs: eventFuncs{last: venus.LastGreatestElongationWest, next: venus.NextGreatestElongationWest}},
{name: "MarsConjunction", eventUT: basic.NextMarsConjunction(eventBoundaryTT(2026)), funcs: eventFuncs{last: mars.LastConjunction, next: mars.NextConjunction}},
{name: "MarsOpposition", eventUT: basic.NextMarsOpposition(eventBoundaryTT(2026)), funcs: eventFuncs{last: mars.LastOpposition, next: mars.NextOpposition}},
{name: "MarsP2R", eventUT: basic.NextMarsProgradeToRetrograde(eventBoundaryTT(2026)), funcs: eventFuncs{last: mars.LastProgradeToRetrograde, next: mars.NextProgradeToRetrograde}},
{name: "MarsR2P", eventUT: basic.NextMarsRetrogradeToPrograde(eventBoundaryTT(2025)), funcs: eventFuncs{last: mars.LastRetrogradeToPrograde, next: mars.NextRetrogradeToPrograde}},
{name: "MarsEasternQuadrature", eventUT: basic.NextMarsEasternQuadrature(eventBoundaryTT(2026)), funcs: eventFuncs{last: mars.LastEasternQuadrature, next: mars.NextEasternQuadrature}},
{name: "MarsWesternQuadrature", eventUT: basic.NextMarsWesternQuadrature(eventBoundaryTT(2026)), funcs: eventFuncs{last: mars.LastWesternQuadrature, next: mars.NextWesternQuadrature}},
{name: "JupiterConjunction", eventUT: basic.NextJupiterConjunction(eventBoundaryTT(2026)), funcs: eventFuncs{last: jupiter.LastConjunction, next: jupiter.NextConjunction}},
{name: "JupiterOpposition", eventUT: basic.NextJupiterOpposition(eventBoundaryTT(2026)), funcs: eventFuncs{last: jupiter.LastOpposition, next: jupiter.NextOpposition}},
{name: "JupiterP2R", eventUT: basic.NextJupiterProgradeToRetrograde(eventBoundaryTT(2026)), funcs: eventFuncs{last: jupiter.LastProgradeToRetrograde, next: jupiter.NextProgradeToRetrograde}},
{name: "JupiterR2P", eventUT: basic.NextJupiterRetrogradeToPrograde(eventBoundaryTT(2026)), funcs: eventFuncs{last: jupiter.LastRetrogradeToPrograde, next: jupiter.NextRetrogradeToPrograde}},
{name: "JupiterEasternQuadrature", eventUT: basic.NextJupiterEasternQuadrature(eventBoundaryTT(2026)), funcs: eventFuncs{last: jupiter.LastEasternQuadrature, next: jupiter.NextEasternQuadrature}},
{name: "JupiterWesternQuadrature", eventUT: basic.NextJupiterWesternQuadrature(eventBoundaryTT(2026)), funcs: eventFuncs{last: jupiter.LastWesternQuadrature, next: jupiter.NextWesternQuadrature}},
{name: "SaturnOpposition", eventUT: basic.NextSaturnOpposition(eventBoundaryTT(2025)), funcs: eventFuncs{last: saturn.LastOpposition, next: saturn.NextOpposition}},
{name: "SaturnP2R", eventUT: basic.NextSaturnProgradeToRetrograde(eventBoundaryTT(2025)), funcs: eventFuncs{last: saturn.LastProgradeToRetrograde, next: saturn.NextProgradeToRetrograde}},
{name: "SaturnR2P", eventUT: basic.NextSaturnRetrogradeToPrograde(eventBoundaryTT(2025)), funcs: eventFuncs{last: saturn.LastRetrogradeToPrograde, next: saturn.NextRetrogradeToPrograde}},
{name: "SaturnEasternQuadrature", eventUT: basic.NextSaturnEasternQuadrature(eventBoundaryTT(2025)), funcs: eventFuncs{last: saturn.LastEasternQuadrature, next: saturn.NextEasternQuadrature}},
{name: "SaturnWesternQuadrature", eventUT: basic.NextSaturnWesternQuadrature(eventBoundaryTT(2025)), funcs: eventFuncs{last: saturn.LastWesternQuadrature, next: saturn.NextWesternQuadrature}},
{name: "UranusOpposition", eventUT: basic.NextUranusOpposition(eventBoundaryTT(2025)), funcs: eventFuncs{last: uranus.LastOpposition, next: uranus.NextOpposition}},
{name: "UranusP2R", eventUT: basic.NextUranusProgradeToRetrograde(eventBoundaryTT(2025)), funcs: eventFuncs{last: uranus.LastProgradeToRetrograde, next: uranus.NextProgradeToRetrograde}},
{name: "UranusR2P", eventUT: basic.NextUranusRetrogradeToPrograde(eventBoundaryTT(2025)), funcs: eventFuncs{last: uranus.LastRetrogradeToPrograde, next: uranus.NextRetrogradeToPrograde}},
{name: "UranusEasternQuadrature", eventUT: basic.NextUranusEasternQuadrature(eventBoundaryTT(2025)), funcs: eventFuncs{last: uranus.LastEasternQuadrature, next: uranus.NextEasternQuadrature}},
{name: "UranusWesternQuadrature", eventUT: basic.NextUranusWesternQuadrature(eventBoundaryTT(2025)), funcs: eventFuncs{last: uranus.LastWesternQuadrature, next: uranus.NextWesternQuadrature}},
{name: "NeptuneOpposition", eventUT: basic.NextNeptuneOpposition(eventBoundaryTT(2026)), funcs: eventFuncs{last: neptune.LastOpposition, next: neptune.NextOpposition}},
{name: "NeptuneP2R", eventUT: basic.NextNeptuneProgradeToRetrograde(eventBoundaryTT(2026)), funcs: eventFuncs{last: neptune.LastProgradeToRetrograde, next: neptune.NextProgradeToRetrograde}},
{name: "NeptuneR2P", eventUT: basic.NextNeptuneRetrogradeToPrograde(eventBoundaryTT(2026)), funcs: eventFuncs{last: neptune.LastRetrogradeToPrograde, next: neptune.NextRetrogradeToPrograde}},
{name: "NeptuneEasternQuadrature", eventUT: basic.NextNeptuneEasternQuadrature(eventBoundaryTT(2026)), funcs: eventFuncs{last: neptune.LastEasternQuadrature, next: neptune.NextEasternQuadrature}},
{name: "NeptuneWesternQuadrature", eventUT: basic.NextNeptuneWesternQuadrature(eventBoundaryTT(2026)), funcs: eventFuncs{last: neptune.LastWesternQuadrature, next: neptune.NextWesternQuadrature}},
}
for _, tc := range cases {
t.Run(tc.name, func(t *testing.T) {
eventTime := basic.JDE2DateByZone(tc.eventUT, time.UTC, false)
assertSameEventTime(t, "last", tc.funcs.last(eventTime), eventTime)
assertSameEventTime(t, "next", tc.funcs.next(eventTime), eventTime)
})
}
}
func eventBoundaryTT(year int) float64 {
return basic.TD2UT(basic.Date2JDE(time.Date(year, 1, 1, 0, 0, 0, 0, time.UTC)), true)
}
func assertSameEventTime(t *testing.T, name string, got, want time.Time) {
t.Helper()
if math.Abs(got.Sub(want).Seconds()) > 1.0 {
t.Fatalf("%s boundary mismatch: got %s want %s delta %.3fs", name, got, want, got.Sub(want).Seconds())
}
}

36
jupiter/jupiter.go
View File

@ -207,8 +207,7 @@ func SetTime(date time.Time, lon, lat, height float64, aero bool) (time.Time, er
// LastConjunction 上一次合日 / previous conjunction with the Sun. // LastConjunction 上一次合日 / previous conjunction with the Sun.
// //
// 返回 date 之前最近一次与太阳的合日时刻，结果保持 date 的时区。 // 返回 date 当前或之前最近一次与太阳的合日时刻，结果保持 date 的时区。
// Returns the most recent conjunction with the Sun relative to date, keeping date's time zone.
func LastConjunction(date time.Time) time.Time { func LastConjunction(date time.Time) time.Time {
jde := basic.TD2UT(basic.Date2JDE(date.UTC()), true) jde := basic.TD2UT(basic.Date2JDE(date.UTC()), true)
return basic.JDE2DateByZone(basic.LastJupiterConjunction(jde), date.Location(), false) return basic.JDE2DateByZone(basic.LastJupiterConjunction(jde), date.Location(), false)
@ -216,8 +215,7 @@ func LastConjunction(date time.Time) time.Time {
// NextConjunction 下一次合日 / next conjunction with the Sun. // NextConjunction 下一次合日 / next conjunction with the Sun.
// //
// 返回 date 之后最近一次与太阳的合日时刻，结果保持 date 的时区。 // 返回 date 当前或之后最近一次与太阳的合日时刻，结果保持 date 的时区。
// Returns the next conjunction with the Sun relative to date, keeping date's time zone.
func NextConjunction(date time.Time) time.Time { func NextConjunction(date time.Time) time.Time {
jde := basic.TD2UT(basic.Date2JDE(date.UTC()), true) jde := basic.TD2UT(basic.Date2JDE(date.UTC()), true)
return basic.JDE2DateByZone(basic.NextJupiterConjunction(jde), date.Location(), false) return basic.JDE2DateByZone(basic.NextJupiterConjunction(jde), date.Location(), false)
@ -225,8 +223,7 @@ func NextConjunction(date time.Time) time.Time {
// LastOpposition 上一次冲日 / previous opposition. // LastOpposition 上一次冲日 / previous opposition.
// //
// 返回 date 之前最近一次冲日时刻，结果保持 date 的时区。 // 返回 date 当前或之前最近一次冲日时刻，结果保持 date 的时区。
// Returns the most recent opposition relative to date, keeping date's time zone.
func LastOpposition(date time.Time) time.Time { func LastOpposition(date time.Time) time.Time {
jde := basic.TD2UT(basic.Date2JDE(date.UTC()), true) jde := basic.TD2UT(basic.Date2JDE(date.UTC()), true)
return basic.JDE2DateByZone(basic.LastJupiterOpposition(jde), date.Location(), false) return basic.JDE2DateByZone(basic.LastJupiterOpposition(jde), date.Location(), false)
@ -234,8 +231,7 @@ func LastOpposition(date time.Time) time.Time {
// NextOpposition 下一次冲日 / next opposition. // NextOpposition 下一次冲日 / next opposition.
// //
// 返回 date 之后最近一次冲日时刻，结果保持 date 的时区。 // 返回 date 当前或之后最近一次冲日时刻，结果保持 date 的时区。
// Returns the next opposition relative to date, keeping date's time zone.
func NextOpposition(date time.Time) time.Time { func NextOpposition(date time.Time) time.Time {
jde := basic.TD2UT(basic.Date2JDE(date.UTC()), true) jde := basic.TD2UT(basic.Date2JDE(date.UTC()), true)
return basic.JDE2DateByZone(basic.NextJupiterOpposition(jde), date.Location(), false) return basic.JDE2DateByZone(basic.NextJupiterOpposition(jde), date.Location(), false)
@ -243,8 +239,7 @@ func NextOpposition(date time.Time) time.Time {
// LastProgradeToRetrograde 上一次顺行转逆行留 / previous station from prograde to retrograde. // LastProgradeToRetrograde 上一次顺行转逆行留 / previous station from prograde to retrograde.
// //
// 返回 date 之前最近一次由顺行转为逆行的留时刻，结果保持 date 的时区。 // 返回 date 当前或之前最近一次由顺行转为逆行的留时刻，结果保持 date 的时区。
// Returns the most recent stationary point where motion changes from prograde to retrograde relative to date, keeping date's time zone.
func LastProgradeToRetrograde(date time.Time) time.Time { func LastProgradeToRetrograde(date time.Time) time.Time {
jde := basic.TD2UT(basic.Date2JDE(date.UTC()), true) jde := basic.TD2UT(basic.Date2JDE(date.UTC()), true)
return basic.JDE2DateByZone(basic.LastJupiterProgradeToRetrograde(jde), date.Location(), false) return basic.JDE2DateByZone(basic.LastJupiterProgradeToRetrograde(jde), date.Location(), false)
@ -252,8 +247,7 @@ func LastProgradeToRetrograde(date time.Time) time.Time {
// NextProgradeToRetrograde 下一次顺行转逆行留 / next station from prograde to retrograde. // NextProgradeToRetrograde 下一次顺行转逆行留 / next station from prograde to retrograde.
// //
// 返回 date 之后最近一次由顺行转为逆行的留时刻，结果保持 date 的时区。 // 返回 date 当前或之后最近一次由顺行转为逆行的留时刻，结果保持 date 的时区。
// Returns the next stationary point where motion changes from prograde to retrograde relative to date, keeping date's time zone.
func NextProgradeToRetrograde(date time.Time) time.Time { func NextProgradeToRetrograde(date time.Time) time.Time {
jde := basic.TD2UT(basic.Date2JDE(date.UTC()), true) jde := basic.TD2UT(basic.Date2JDE(date.UTC()), true)
return basic.JDE2DateByZone(basic.NextJupiterProgradeToRetrograde(jde), date.Location(), false) return basic.JDE2DateByZone(basic.NextJupiterProgradeToRetrograde(jde), date.Location(), false)
@ -261,8 +255,7 @@ func NextProgradeToRetrograde(date time.Time) time.Time {
// LastRetrogradeToPrograde 上一次逆行转顺行留 / previous station from retrograde to prograde. // LastRetrogradeToPrograde 上一次逆行转顺行留 / previous station from retrograde to prograde.
// //
// 返回 date 之前最近一次由逆行转为顺行的留时刻，结果保持 date 的时区。 // 返回 date 当前或之前最近一次由逆行转为顺行的留时刻，结果保持 date 的时区。
// Returns the most recent stationary point where motion changes from retrograde to prograde relative to date, keeping date's time zone.
func LastRetrogradeToPrograde(date time.Time) time.Time { func LastRetrogradeToPrograde(date time.Time) time.Time {
jde := basic.TD2UT(basic.Date2JDE(date.UTC()), true) jde := basic.TD2UT(basic.Date2JDE(date.UTC()), true)
return basic.JDE2DateByZone(basic.LastJupiterRetrogradeToPrograde(jde), date.Location(), false) return basic.JDE2DateByZone(basic.LastJupiterRetrogradeToPrograde(jde), date.Location(), false)
@ -270,8 +263,7 @@ func LastRetrogradeToPrograde(date time.Time) time.Time {
// NextRetrogradeToPrograde 下一次逆行转顺行留 / next station from retrograde to prograde. // NextRetrogradeToPrograde 下一次逆行转顺行留 / next station from retrograde to prograde.
// //
// 返回 date 之后最近一次由逆行转为顺行的留时刻，结果保持 date 的时区。 // 返回 date 当前或之后最近一次由逆行转为顺行的留时刻，结果保持 date 的时区。
// Returns the next stationary point where motion changes from retrograde to prograde relative to date, keeping date's time zone.
func NextRetrogradeToPrograde(date time.Time) time.Time { func NextRetrogradeToPrograde(date time.Time) time.Time {
jde := basic.TD2UT(basic.Date2JDE(date.UTC()), true) jde := basic.TD2UT(basic.Date2JDE(date.UTC()), true)
return basic.JDE2DateByZone(basic.NextJupiterRetrogradeToPrograde(jde), date.Location(), false) return basic.JDE2DateByZone(basic.NextJupiterRetrogradeToPrograde(jde), date.Location(), false)
@ -279,8 +271,7 @@ func NextRetrogradeToPrograde(date time.Time) time.Time {
// LastEasternQuadrature 上一次东方照 / previous eastern quadrature. // LastEasternQuadrature 上一次东方照 / previous eastern quadrature.
// //
// 返回 date 之前最近一次东方照时刻，结果保持 date 的时区。 // 返回 date 当前或之前最近一次东方照时刻，结果保持 date 的时区。
// Returns the most recent eastern quadrature relative to date, keeping date's time zone.
func LastEasternQuadrature(date time.Time) time.Time { func LastEasternQuadrature(date time.Time) time.Time {
jde := basic.TD2UT(basic.Date2JDE(date.UTC()), true) jde := basic.TD2UT(basic.Date2JDE(date.UTC()), true)
return basic.JDE2DateByZone(basic.LastJupiterEasternQuadrature(jde), date.Location(), false) return basic.JDE2DateByZone(basic.LastJupiterEasternQuadrature(jde), date.Location(), false)
@ -288,8 +279,7 @@ func LastEasternQuadrature(date time.Time) time.Time {
// NextEasternQuadrature 下一次东方照 / next eastern quadrature. // NextEasternQuadrature 下一次东方照 / next eastern quadrature.
// //
// 返回 date 之后最近一次东方照时刻，结果保持 date 的时区。 // 返回 date 当前或之后最近一次东方照时刻，结果保持 date 的时区。
// Returns the next eastern quadrature relative to date, keeping date's time zone.
func NextEasternQuadrature(date time.Time) time.Time { func NextEasternQuadrature(date time.Time) time.Time {
jde := basic.TD2UT(basic.Date2JDE(date.UTC()), true) jde := basic.TD2UT(basic.Date2JDE(date.UTC()), true)
return basic.JDE2DateByZone(basic.NextJupiterEasternQuadrature(jde), date.Location(), false) return basic.JDE2DateByZone(basic.NextJupiterEasternQuadrature(jde), date.Location(), false)
@ -297,8 +287,7 @@ func NextEasternQuadrature(date time.Time) time.Time {
// LastWesternQuadrature 上一次西方照 / previous western quadrature. // LastWesternQuadrature 上一次西方照 / previous western quadrature.
// //
// 返回 date 之前最近一次西方照时刻，结果保持 date 的时区。 // 返回 date 当前或之前最近一次西方照时刻，结果保持 date 的时区。
// Returns the most recent western quadrature relative to date, keeping date's time zone.
func LastWesternQuadrature(date time.Time) time.Time { func LastWesternQuadrature(date time.Time) time.Time {
jde := basic.TD2UT(basic.Date2JDE(date.UTC()), true) jde := basic.TD2UT(basic.Date2JDE(date.UTC()), true)
return basic.JDE2DateByZone(basic.LastJupiterWesternQuadrature(jde), date.Location(), false) return basic.JDE2DateByZone(basic.LastJupiterWesternQuadrature(jde), date.Location(), false)
@ -306,8 +295,7 @@ func LastWesternQuadrature(date time.Time) time.Time {
// NextWesternQuadrature 下一次西方照 / next western quadrature. // NextWesternQuadrature 下一次西方照 / next western quadrature.
// //
// 返回 date 之后最近一次西方照时刻，结果保持 date 的时区。 // 返回 date 当前或之后最近一次西方照时刻，结果保持 date 的时区。
// Returns the next western quadrature relative to date, keeping date's time zone.
func NextWesternQuadrature(date time.Time) time.Time { func NextWesternQuadrature(date time.Time) time.Time {
jde := basic.TD2UT(basic.Date2JDE(date.UTC()), true) jde := basic.TD2UT(basic.Date2JDE(date.UTC()), true)
return basic.JDE2DateByZone(basic.NextJupiterWesternQuadrature(jde), date.Location(), false) return basic.JDE2DateByZone(basic.NextJupiterWesternQuadrature(jde), date.Location(), false)

36
mars/mars.go
View File

@ -207,8 +207,7 @@ func SetTime(date time.Time, lon, lat, height float64, aero bool) (time.Time, er
// LastConjunction 上一次合日 / previous conjunction with the Sun. // LastConjunction 上一次合日 / previous conjunction with the Sun.
// //
// 返回 date 之前最近一次与太阳的合日时刻，结果保持 date 的时区。 // 返回 date 当前或之前最近一次与太阳的合日时刻，结果保持 date 的时区。
// Returns the most recent conjunction with the Sun relative to date, keeping date's time zone.
func LastConjunction(date time.Time) time.Time { func LastConjunction(date time.Time) time.Time {
jde := basic.TD2UT(basic.Date2JDE(date.UTC()), true) jde := basic.TD2UT(basic.Date2JDE(date.UTC()), true)
return basic.JDE2DateByZone(basic.LastMarsConjunction(jde), date.Location(), false) return basic.JDE2DateByZone(basic.LastMarsConjunction(jde), date.Location(), false)
@ -216,8 +215,7 @@ func LastConjunction(date time.Time) time.Time {
// NextConjunction 下一次合日 / next conjunction with the Sun. // NextConjunction 下一次合日 / next conjunction with the Sun.
// //
// 返回 date 之后最近一次与太阳的合日时刻，结果保持 date 的时区。 // 返回 date 当前或之后最近一次与太阳的合日时刻，结果保持 date 的时区。
// Returns the next conjunction with the Sun relative to date, keeping date's time zone.
func NextConjunction(date time.Time) time.Time { func NextConjunction(date time.Time) time.Time {
jde := basic.TD2UT(basic.Date2JDE(date.UTC()), true) jde := basic.TD2UT(basic.Date2JDE(date.UTC()), true)
return basic.JDE2DateByZone(basic.NextMarsConjunction(jde), date.Location(), false) return basic.JDE2DateByZone(basic.NextMarsConjunction(jde), date.Location(), false)
@ -225,8 +223,7 @@ func NextConjunction(date time.Time) time.Time {
// LastOpposition 上一次冲日 / previous opposition. // LastOpposition 上一次冲日 / previous opposition.
// //
// 返回 date 之前最近一次冲日时刻，结果保持 date 的时区。 // 返回 date 当前或之前最近一次冲日时刻，结果保持 date 的时区。
// Returns the most recent opposition relative to date, keeping date's time zone.
func LastOpposition(date time.Time) time.Time { func LastOpposition(date time.Time) time.Time {
jde := basic.TD2UT(basic.Date2JDE(date.UTC()), true) jde := basic.TD2UT(basic.Date2JDE(date.UTC()), true)
return basic.JDE2DateByZone(basic.LastMarsOpposition(jde), date.Location(), false) return basic.JDE2DateByZone(basic.LastMarsOpposition(jde), date.Location(), false)
@ -234,8 +231,7 @@ func LastOpposition(date time.Time) time.Time {
// NextOpposition 下一次冲日 / next opposition. // NextOpposition 下一次冲日 / next opposition.
// //
// 返回 date 之后最近一次冲日时刻，结果保持 date 的时区。 // 返回 date 当前或之后最近一次冲日时刻，结果保持 date 的时区。
// Returns the next opposition relative to date, keeping date's time zone.
func NextOpposition(date time.Time) time.Time { func NextOpposition(date time.Time) time.Time {
jde := basic.TD2UT(basic.Date2JDE(date.UTC()), true) jde := basic.TD2UT(basic.Date2JDE(date.UTC()), true)
return basic.JDE2DateByZone(basic.NextMarsOpposition(jde), date.Location(), false) return basic.JDE2DateByZone(basic.NextMarsOpposition(jde), date.Location(), false)
@ -243,8 +239,7 @@ func NextOpposition(date time.Time) time.Time {
// LastProgradeToRetrograde 上一次顺行转逆行留 / previous station from prograde to retrograde. // LastProgradeToRetrograde 上一次顺行转逆行留 / previous station from prograde to retrograde.
// //
// 返回 date 之前最近一次由顺行转为逆行的留时刻，结果保持 date 的时区。 // 返回 date 当前或之前最近一次由顺行转为逆行的留时刻，结果保持 date 的时区。
// Returns the most recent stationary point where motion changes from prograde to retrograde relative to date, keeping date's time zone.
func LastProgradeToRetrograde(date time.Time) time.Time { func LastProgradeToRetrograde(date time.Time) time.Time {
jde := basic.TD2UT(basic.Date2JDE(date.UTC()), true) jde := basic.TD2UT(basic.Date2JDE(date.UTC()), true)
return basic.JDE2DateByZone(basic.LastMarsProgradeToRetrograde(jde), date.Location(), false) return basic.JDE2DateByZone(basic.LastMarsProgradeToRetrograde(jde), date.Location(), false)
@ -252,8 +247,7 @@ func LastProgradeToRetrograde(date time.Time) time.Time {
// NextProgradeToRetrograde 下一次顺行转逆行留 / next station from prograde to retrograde. // NextProgradeToRetrograde 下一次顺行转逆行留 / next station from prograde to retrograde.
// //
// 返回 date 之后最近一次由顺行转为逆行的留时刻，结果保持 date 的时区。 // 返回 date 当前或之后最近一次由顺行转为逆行的留时刻，结果保持 date 的时区。
// Returns the next stationary point where motion changes from prograde to retrograde relative to date, keeping date's time zone.
func NextProgradeToRetrograde(date time.Time) time.Time { func NextProgradeToRetrograde(date time.Time) time.Time {
jde := basic.TD2UT(basic.Date2JDE(date.UTC()), true) jde := basic.TD2UT(basic.Date2JDE(date.UTC()), true)
return basic.JDE2DateByZone(basic.NextMarsProgradeToRetrograde(jde), date.Location(), false) return basic.JDE2DateByZone(basic.NextMarsProgradeToRetrograde(jde), date.Location(), false)
@ -261,8 +255,7 @@ func NextProgradeToRetrograde(date time.Time) time.Time {
// LastRetrogradeToPrograde 上一次逆行转顺行留 / previous station from retrograde to prograde. // LastRetrogradeToPrograde 上一次逆行转顺行留 / previous station from retrograde to prograde.
// //
// 返回 date 之前最近一次由逆行转为顺行的留时刻，结果保持 date 的时区。 // 返回 date 当前或之前最近一次由逆行转为顺行的留时刻，结果保持 date 的时区。
// Returns the most recent stationary point where motion changes from retrograde to prograde relative to date, keeping date's time zone.
func LastRetrogradeToPrograde(date time.Time) time.Time { func LastRetrogradeToPrograde(date time.Time) time.Time {
jde := basic.TD2UT(basic.Date2JDE(date.UTC()), true) jde := basic.TD2UT(basic.Date2JDE(date.UTC()), true)
return basic.JDE2DateByZone(basic.LastMarsRetrogradeToPrograde(jde), date.Location(), false) return basic.JDE2DateByZone(basic.LastMarsRetrogradeToPrograde(jde), date.Location(), false)
@ -270,8 +263,7 @@ func LastRetrogradeToPrograde(date time.Time) time.Time {
// NextRetrogradeToPrograde 下一次逆行转顺行留 / next station from retrograde to prograde. // NextRetrogradeToPrograde 下一次逆行转顺行留 / next station from retrograde to prograde.
// //
// 返回 date 之后最近一次由逆行转为顺行的留时刻，结果保持 date 的时区。 // 返回 date 当前或之后最近一次由逆行转为顺行的留时刻，结果保持 date 的时区。
// Returns the next stationary point where motion changes from retrograde to prograde relative to date, keeping date's time zone.
func NextRetrogradeToPrograde(date time.Time) time.Time { func NextRetrogradeToPrograde(date time.Time) time.Time {
jde := basic.TD2UT(basic.Date2JDE(date.UTC()), true) jde := basic.TD2UT(basic.Date2JDE(date.UTC()), true)
return basic.JDE2DateByZone(basic.NextMarsRetrogradeToPrograde(jde), date.Location(), false) return basic.JDE2DateByZone(basic.NextMarsRetrogradeToPrograde(jde), date.Location(), false)
@ -279,8 +271,7 @@ func NextRetrogradeToPrograde(date time.Time) time.Time {
// LastEasternQuadrature 上一次东方照 / previous eastern quadrature. // LastEasternQuadrature 上一次东方照 / previous eastern quadrature.
// //
// 返回 date 之前最近一次东方照时刻，结果保持 date 的时区。 // 返回 date 当前或之前最近一次东方照时刻，结果保持 date 的时区。
// Returns the most recent eastern quadrature relative to date, keeping date's time zone.
func LastEasternQuadrature(date time.Time) time.Time { func LastEasternQuadrature(date time.Time) time.Time {
jde := basic.TD2UT(basic.Date2JDE(date.UTC()), true) jde := basic.TD2UT(basic.Date2JDE(date.UTC()), true)
return basic.JDE2DateByZone(basic.LastMarsEasternQuadrature(jde), date.Location(), false) return basic.JDE2DateByZone(basic.LastMarsEasternQuadrature(jde), date.Location(), false)
@ -288,8 +279,7 @@ func LastEasternQuadrature(date time.Time) time.Time {
// NextEasternQuadrature 下一次东方照 / next eastern quadrature. // NextEasternQuadrature 下一次东方照 / next eastern quadrature.
// //
// 返回 date 之后最近一次东方照时刻，结果保持 date 的时区。 // 返回 date 当前或之后最近一次东方照时刻，结果保持 date 的时区。
// Returns the next eastern quadrature relative to date, keeping date's time zone.
func NextEasternQuadrature(date time.Time) time.Time { func NextEasternQuadrature(date time.Time) time.Time {
jde := basic.TD2UT(basic.Date2JDE(date.UTC()), true) jde := basic.TD2UT(basic.Date2JDE(date.UTC()), true)
return basic.JDE2DateByZone(basic.NextMarsEasternQuadrature(jde), date.Location(), false) return basic.JDE2DateByZone(basic.NextMarsEasternQuadrature(jde), date.Location(), false)
@ -297,8 +287,7 @@ func NextEasternQuadrature(date time.Time) time.Time {
// LastWesternQuadrature 上一次西方照 / previous western quadrature. // LastWesternQuadrature 上一次西方照 / previous western quadrature.
// //
// 返回 date 之前最近一次西方照时刻，结果保持 date 的时区。 // 返回 date 当前或之前最近一次西方照时刻，结果保持 date 的时区。
// Returns the most recent western quadrature relative to date, keeping date's time zone.
func LastWesternQuadrature(date time.Time) time.Time { func LastWesternQuadrature(date time.Time) time.Time {
jde := basic.TD2UT(basic.Date2JDE(date.UTC()), true) jde := basic.TD2UT(basic.Date2JDE(date.UTC()), true)
return basic.JDE2DateByZone(basic.LastMarsWesternQuadrature(jde), date.Location(), false) return basic.JDE2DateByZone(basic.LastMarsWesternQuadrature(jde), date.Location(), false)
@ -306,8 +295,7 @@ func LastWesternQuadrature(date time.Time) time.Time {
// NextWesternQuadrature 下一次西方照 / next western quadrature. // NextWesternQuadrature 下一次西方照 / next western quadrature.
// //
// 返回 date 之后最近一次西方照时刻，结果保持 date 的时区。 // 返回 date 当前或之后最近一次西方照时刻，结果保持 date 的时区。
// Returns the next western quadrature relative to date, keeping date's time zone.
func NextWesternQuadrature(date time.Time) time.Time { func NextWesternQuadrature(date time.Time) time.Time {
jde := basic.TD2UT(basic.Date2JDE(date.UTC()), true) jde := basic.TD2UT(basic.Date2JDE(date.UTC()), true)
return basic.JDE2DateByZone(basic.NextMarsWesternQuadrature(jde), date.Location(), false) return basic.JDE2DateByZone(basic.NextMarsWesternQuadrature(jde), date.Location(), false)

86
mercury/mercury.go
View File

@ -207,8 +207,7 @@ func SetTime(date time.Time, lon, lat, height float64, aero bool) (time.Time, er
// LastConjunction 上一次合日 / previous conjunction with the Sun. // LastConjunction 上一次合日 / previous conjunction with the Sun.
// //
// 返回 date 之前最近一次与太阳的合日时刻，结果保持 date 的时区。 // 返回 date 当前或之前最近一次与太阳的合日时刻，结果保持 date 的时区。
// Returns the most recent conjunction with the Sun relative to date, keeping date's time zone.
func LastConjunction(date time.Time) time.Time { func LastConjunction(date time.Time) time.Time {
jde := basic.TD2UT(basic.Date2JDE(date.UTC()), true) jde := basic.TD2UT(basic.Date2JDE(date.UTC()), true)
return basic.JDE2DateByZone(basic.LastMercuryConjunction(jde), date.Location(), false) return basic.JDE2DateByZone(basic.LastMercuryConjunction(jde), date.Location(), false)
@ -216,8 +215,7 @@ func LastConjunction(date time.Time) time.Time {
// NextConjunction 下一次合日 / next conjunction with the Sun. // NextConjunction 下一次合日 / next conjunction with the Sun.
// //
// 返回 date 之后最近一次与太阳的合日时刻，结果保持 date 的时区。 // 返回 date 当前或之后最近一次与太阳的合日时刻，结果保持 date 的时区。
// Returns the next conjunction with the Sun relative to date, keeping date's time zone.
func NextConjunction(date time.Time) time.Time { func NextConjunction(date time.Time) time.Time {
jde := basic.TD2UT(basic.Date2JDE(date.UTC()), true) jde := basic.TD2UT(basic.Date2JDE(date.UTC()), true)
return basic.JDE2DateByZone(basic.NextMercuryConjunction(jde), date.Location(), false) return basic.JDE2DateByZone(basic.NextMercuryConjunction(jde), date.Location(), false)
@ -225,144 +223,128 @@ func NextConjunction(date time.Time) time.Time {
// LastInferiorConjunction 上一次下合 / previous inferior conjunction. // LastInferiorConjunction 上一次下合 / previous inferior conjunction.
// //
// 返回 date 之前最近一次下合时刻，结果保持 date 的时区。 // 返回 date 当前或之前最近一次下合时刻，结果保持 date 的时区。
// Returns the most recent inferior conjunction relative to date, keeping date's time zone.
func LastInferiorConjunction(date time.Time) time.Time { func LastInferiorConjunction(date time.Time) time.Time {
jde := basic.TD2UT(basic.Date2JDE(date.UTC()), true) jde := basic.TD2UT(basic.Date2JDE(date.UTC()), true)
return basic.JDE2DateByZone(basic.LastMercuryInferiorConjunction(jde), date.Location(), false) return basic.JDE2DateByZone(basic.LastMercuryInferiorConjunctionInclusive(jde), date.Location(), false)
} }
// NextInferiorConjunction 下一次下合 / next inferior conjunction. // NextInferiorConjunction 下一次下合 / next inferior conjunction.
// //
// 返回 date 之后最近一次下合时刻，结果保持 date 的时区。 // 返回 date 当前或之后最近一次下合时刻，结果保持 date 的时区。
// Returns the next inferior conjunction relative to date, keeping date's time zone.
func NextInferiorConjunction(date time.Time) time.Time { func NextInferiorConjunction(date time.Time) time.Time {
jde := basic.TD2UT(basic.Date2JDE(date.UTC()), true) jde := basic.TD2UT(basic.Date2JDE(date.UTC()), true)
return basic.JDE2DateByZone(basic.NextMercuryInferiorConjunction(jde), date.Location(), false) return basic.JDE2DateByZone(basic.NextMercuryInferiorConjunctionInclusive(jde), date.Location(), false)
} }
// LastSuperiorConjunction 上一次上合 / previous superior conjunction. // LastSuperiorConjunction 上一次上合 / previous superior conjunction.
// //
// 返回 date 之前最近一次上合时刻，结果保持 date 的时区。 // 返回 date 当前或之前最近一次上合时刻，结果保持 date 的时区。
// Returns the most recent superior conjunction relative to date, keeping date's time zone.
func LastSuperiorConjunction(date time.Time) time.Time { func LastSuperiorConjunction(date time.Time) time.Time {
jde := basic.TD2UT(basic.Date2JDE(date.UTC()), true) jde := basic.TD2UT(basic.Date2JDE(date.UTC()), true)
return basic.JDE2DateByZone(basic.LastMercurySuperiorConjunction(jde), date.Location(), false) return basic.JDE2DateByZone(basic.LastMercurySuperiorConjunctionInclusive(jde), date.Location(), false)
} }
// NextSuperiorConjunction 下一次上合 / next superior conjunction. // NextSuperiorConjunction 下一次上合 / next superior conjunction.
// //
// 返回 date 之后最近一次上合时刻，结果保持 date 的时区。 // 返回 date 当前或之后最近一次上合时刻，结果保持 date 的时区。
// Returns the next superior conjunction relative to date, keeping date's time zone.
func NextSuperiorConjunction(date time.Time) time.Time { func NextSuperiorConjunction(date time.Time) time.Time {
jde := basic.TD2UT(basic.Date2JDE(date.UTC()), true) jde := basic.TD2UT(basic.Date2JDE(date.UTC()), true)
return basic.JDE2DateByZone(basic.NextMercurySuperiorConjunction(jde), date.Location(), false) return basic.JDE2DateByZone(basic.NextMercurySuperiorConjunctionInclusive(jde), date.Location(), false)
} }
// LastRetrograde 上一次留 / previous stationary point. // LastRetrograde 上一次留 / previous stationary point.
// //
// 返回 date 之前最近一次留时刻，不区分顺转逆还是逆转顺，结果保持 date 的时区。 // 返回 date 当前或之前最近一次留时刻，不区分顺转逆还是逆转顺，结果保持 date 的时区。
// Returns the most recent stationary point relative to date without distinguishing direction, keeping date's time zone.
func LastRetrograde(date time.Time) time.Time { func LastRetrograde(date time.Time) time.Time {
jde := basic.TD2UT(basic.Date2JDE(date.UTC()), true) jde := basic.TD2UT(basic.Date2JDE(date.UTC()), true)
return basic.JDE2DateByZone(basic.LastMercuryRetrograde(jde), date.Location(), false) return basic.JDE2DateByZone(basic.LastMercuryRetrogradeInclusive(jde), date.Location(), false)
} }
// NextRetrograde 下一次留 / next stationary point. // NextRetrograde 下一次留 / next stationary point.
// //
// 返回 date 之后最近一次留时刻，不区分顺转逆还是逆转顺，结果保持 date 的时区。 // 返回 date 当前或之后最近一次留时刻，不区分顺转逆还是逆转顺，结果保持 date 的时区。
// Returns the next stationary point relative to date without distinguishing direction, keeping date's time zone.
func NextRetrograde(date time.Time) time.Time { func NextRetrograde(date time.Time) time.Time {
jde := basic.TD2UT(basic.Date2JDE(date.UTC()), true) jde := basic.TD2UT(basic.Date2JDE(date.UTC()), true)
return basic.JDE2DateByZone(basic.NextMercuryRetrograde(jde), date.Location(), false) return basic.JDE2DateByZone(basic.NextMercuryRetrogradeInclusive(jde), date.Location(), false)
} }
// LastProgradeToRetrograde 上一次顺行转逆行留 / previous station from prograde to retrograde. // LastProgradeToRetrograde 上一次顺行转逆行留 / previous station from prograde to retrograde.
// //
// 返回 date 之前最近一次由顺行转为逆行的留时刻，结果保持 date 的时区。 // 返回 date 当前或之前最近一次由顺行转为逆行的留时刻，结果保持 date 的时区。
// Returns the most recent stationary point where motion changes from prograde to retrograde relative to date, keeping date's time zone.
func LastProgradeToRetrograde(date time.Time) time.Time { func LastProgradeToRetrograde(date time.Time) time.Time {
jde := basic.TD2UT(basic.Date2JDE(date.UTC()), true) jde := basic.TD2UT(basic.Date2JDE(date.UTC()), true)
return basic.JDE2DateByZone(basic.LastMercuryProgradeToRetrograde(jde), date.Location(), false) return basic.JDE2DateByZone(basic.LastMercuryProgradeToRetrogradeInclusive(jde), date.Location(), false)
} }
// NextProgradeToRetrograde 下一次顺行转逆行留 / next station from prograde to retrograde. // NextProgradeToRetrograde 下一次顺行转逆行留 / next station from prograde to retrograde.
// //
// 返回 date 之后最近一次由顺行转为逆行的留时刻，结果保持 date 的时区。 // 返回 date 当前或之后最近一次由顺行转为逆行的留时刻，结果保持 date 的时区。
// Returns the next stationary point where motion changes from prograde to retrograde relative to date, keeping date's time zone.
func NextProgradeToRetrograde(date time.Time) time.Time { func NextProgradeToRetrograde(date time.Time) time.Time {
jde := basic.TD2UT(basic.Date2JDE(date.UTC()), true) jde := basic.TD2UT(basic.Date2JDE(date.UTC()), true)
return basic.JDE2DateByZone(basic.NextMercuryProgradeToRetrograde(jde), date.Location(), false) return basic.JDE2DateByZone(basic.NextMercuryProgradeToRetrogradeInclusive(jde), date.Location(), false)
} }
// LastRetrogradeToPrograde 上一次逆行转顺行留 / previous station from retrograde to prograde. // LastRetrogradeToPrograde 上一次逆行转顺行留 / previous station from retrograde to prograde.
// //
// 返回 date 之前最近一次由逆行转为顺行的留时刻，结果保持 date 的时区。 // 返回 date 当前或之前最近一次由逆行转为顺行的留时刻，结果保持 date 的时区。
// Returns the most recent stationary point where motion changes from retrograde to prograde relative to date, keeping date's time zone.
func LastRetrogradeToPrograde(date time.Time) time.Time { func LastRetrogradeToPrograde(date time.Time) time.Time {
jde := basic.TD2UT(basic.Date2JDE(date.UTC()), true) jde := basic.TD2UT(basic.Date2JDE(date.UTC()), true)
return basic.JDE2DateByZone(basic.LastMercuryRetrogradeToPrograde(jde), date.Location(), false) return basic.JDE2DateByZone(basic.LastMercuryRetrogradeToProgradeInclusive(jde), date.Location(), false)
} }
// NextRetrogradeToPrograde 下一次逆行转顺行留 / next station from retrograde to prograde. // NextRetrogradeToPrograde 下一次逆行转顺行留 / next station from retrograde to prograde.
// //
// 返回 date 之后最近一次由逆行转为顺行的留时刻，结果保持 date 的时区。 // 返回 date 当前或之后最近一次由逆行转为顺行的留时刻，结果保持 date 的时区。
// Returns the next stationary point where motion changes from retrograde to prograde relative to date, keeping date's time zone.
func NextRetrogradeToPrograde(date time.Time) time.Time { func NextRetrogradeToPrograde(date time.Time) time.Time {
jde := basic.TD2UT(basic.Date2JDE(date.UTC()), true) jde := basic.TD2UT(basic.Date2JDE(date.UTC()), true)
return basic.JDE2DateByZone(basic.NextMercuryRetrogradeToPrograde(jde), date.Location(), false) return basic.JDE2DateByZone(basic.NextMercuryRetrogradeToProgradeInclusive(jde), date.Location(), false)
} }
// LastGreatestElongation 上一次大距 / previous greatest elongation. // LastGreatestElongation 上一次大距 / previous greatest elongation.
// //
// 返回 date 之前最近一次大距时刻，不区分东西大距，结果保持 date 的时区。 // 返回 date 当前或之前最近一次大距时刻，不区分东西大距，结果保持 date 的时区。
// Returns the most recent greatest elongation relative to date without distinguishing east or west, keeping date's time zone.
func LastGreatestElongation(date time.Time) time.Time { func LastGreatestElongation(date time.Time) time.Time {
jde := basic.TD2UT(basic.Date2JDE(date.UTC()), true) jde := basic.TD2UT(basic.Date2JDE(date.UTC()), true)
return basic.JDE2DateByZone(basic.LastMercuryGreatestElongation(jde), date.Location(), false) return basic.JDE2DateByZone(basic.LastMercuryGreatestElongationInclusive(jde), date.Location(), false)
} }
// NextGreatestElongation 下一次大距 / next greatest elongation. // NextGreatestElongation 下一次大距 / next greatest elongation.
// //
// 返回 date 之后最近一次大距时刻，不区分东西大距，结果保持 date 的时区。 // 返回 date 当前或之后最近一次大距时刻，不区分东西大距，结果保持 date 的时区。
// Returns the next greatest elongation relative to date without distinguishing east or west, keeping date's time zone.
func NextGreatestElongation(date time.Time) time.Time { func NextGreatestElongation(date time.Time) time.Time {
jde := basic.TD2UT(basic.Date2JDE(date.UTC()), true) jde := basic.TD2UT(basic.Date2JDE(date.UTC()), true)
return basic.JDE2DateByZone(basic.NextMercuryGreatestElongation(jde), date.Location(), false) return basic.JDE2DateByZone(basic.NextMercuryGreatestElongationInclusive(jde), date.Location(), false)
} }
// LastGreatestElongationEast 上一次东大距 / previous greatest eastern elongation. // LastGreatestElongationEast 上一次东大距 / previous greatest eastern elongation.
// //
// 返回 date 之前最近一次东大距时刻，结果保持 date 的时区。 // 返回 date 当前或之前最近一次东大距时刻，结果保持 date 的时区。
// Returns the most recent greatest eastern elongation relative to date, keeping date's time zone.
func LastGreatestElongationEast(date time.Time) time.Time { func LastGreatestElongationEast(date time.Time) time.Time {
jde := basic.TD2UT(basic.Date2JDE(date.UTC()), true) jde := basic.TD2UT(basic.Date2JDE(date.UTC()), true)
return basic.JDE2DateByZone(basic.LastMercuryGreatestElongationEast(jde), date.Location(), false) return basic.JDE2DateByZone(basic.LastMercuryGreatestElongationEastInclusive(jde), date.Location(), false)
} }
// NextGreatestElongationEast 下一次东大距 / next greatest eastern elongation. // NextGreatestElongationEast 下一次东大距 / next greatest eastern elongation.
// //
// 返回 date 之后最近一次东大距时刻，结果保持 date 的时区。 // 返回 date 当前或之后最近一次东大距时刻，结果保持 date 的时区。
// Returns the next greatest eastern elongation relative to date, keeping date's time zone.
func NextGreatestElongationEast(date time.Time) time.Time { func NextGreatestElongationEast(date time.Time) time.Time {
jde := basic.TD2UT(basic.Date2JDE(date.UTC()), true) jde := basic.TD2UT(basic.Date2JDE(date.UTC()), true)
return basic.JDE2DateByZone(basic.NextMercuryGreatestElongationEast(jde), date.Location(), false) return basic.JDE2DateByZone(basic.NextMercuryGreatestElongationEastInclusive(jde), date.Location(), false)
} }
// LastGreatestElongationWest 上一次西大距 / previous greatest western elongation. // LastGreatestElongationWest 上一次西大距 / previous greatest western elongation.
// //
// 返回 date 之前最近一次西大距时刻，结果保持 date 的时区。 // 返回 date 当前或之前最近一次西大距时刻，结果保持 date 的时区。
// Returns the most recent greatest western elongation relative to date, keeping date's time zone.
func LastGreatestElongationWest(date time.Time) time.Time { func LastGreatestElongationWest(date time.Time) time.Time {
jde := basic.TD2UT(basic.Date2JDE(date.UTC()), true) jde := basic.TD2UT(basic.Date2JDE(date.UTC()), true)
return basic.JDE2DateByZone(basic.LastMercuryGreatestElongationWest(jde), date.Location(), false) return basic.JDE2DateByZone(basic.LastMercuryGreatestElongationWestInclusive(jde), date.Location(), false)
} }
// NextGreatestElongationWest 下一次西大距 / next greatest western elongation. // NextGreatestElongationWest 下一次西大距 / next greatest western elongation.
// //
// 返回 date 之后最近一次西大距时刻，结果保持 date 的时区。 // 返回 date 当前或之后最近一次西大距时刻，结果保持 date 的时区。
// Returns the next greatest western elongation relative to date, keeping date's time zone.
func NextGreatestElongationWest(date time.Time) time.Time { func NextGreatestElongationWest(date time.Time) time.Time {
jde := basic.TD2UT(basic.Date2JDE(date.UTC()), true) jde := basic.TD2UT(basic.Date2JDE(date.UTC()), true)
return basic.JDE2DateByZone(basic.NextMercuryGreatestElongationWest(jde), date.Location(), false) return basic.JDE2DateByZone(basic.NextMercuryGreatestElongationWestInclusive(jde), date.Location(), false)
} }

36
neptune/neptune.go
View File

@ -207,8 +207,7 @@ func SetTime(date time.Time, lon, lat, height float64, aero bool) (time.Time, er
// LastConjunction 上一次合日 / previous conjunction with the Sun. // LastConjunction 上一次合日 / previous conjunction with the Sun.
// //
// 返回 date 之前最近一次与太阳的合日时刻，结果保持 date 的时区。 // 返回 date 当前或之前最近一次与太阳的合日时刻，结果保持 date 的时区。
// Returns the most recent conjunction with the Sun relative to date, keeping date's time zone.
func LastConjunction(date time.Time) time.Time { func LastConjunction(date time.Time) time.Time {
jde := basic.TD2UT(basic.Date2JDE(date.UTC()), true) jde := basic.TD2UT(basic.Date2JDE(date.UTC()), true)
return basic.JDE2DateByZone(basic.LastNeptuneConjunction(jde), date.Location(), false) return basic.JDE2DateByZone(basic.LastNeptuneConjunction(jde), date.Location(), false)
@ -216,8 +215,7 @@ func LastConjunction(date time.Time) time.Time {
// NextConjunction 下一次合日 / next conjunction with the Sun. // NextConjunction 下一次合日 / next conjunction with the Sun.
// //
// 返回 date 之后最近一次与太阳的合日时刻，结果保持 date 的时区。 // 返回 date 当前或之后最近一次与太阳的合日时刻，结果保持 date 的时区。
// Returns the next conjunction with the Sun relative to date, keeping date's time zone.
func NextConjunction(date time.Time) time.Time { func NextConjunction(date time.Time) time.Time {
jde := basic.TD2UT(basic.Date2JDE(date.UTC()), true) jde := basic.TD2UT(basic.Date2JDE(date.UTC()), true)
return basic.JDE2DateByZone(basic.NextNeptuneConjunction(jde), date.Location(), false) return basic.JDE2DateByZone(basic.NextNeptuneConjunction(jde), date.Location(), false)
@ -225,8 +223,7 @@ func NextConjunction(date time.Time) time.Time {
// LastOpposition 上一次冲日 / previous opposition. // LastOpposition 上一次冲日 / previous opposition.
// //
// 返回 date 之前最近一次冲日时刻，结果保持 date 的时区。 // 返回 date 当前或之前最近一次冲日时刻，结果保持 date 的时区。
// Returns the most recent opposition relative to date, keeping date's time zone.
func LastOpposition(date time.Time) time.Time { func LastOpposition(date time.Time) time.Time {
jde := basic.TD2UT(basic.Date2JDE(date.UTC()), true) jde := basic.TD2UT(basic.Date2JDE(date.UTC()), true)
return basic.JDE2DateByZone(basic.LastNeptuneOpposition(jde), date.Location(), false) return basic.JDE2DateByZone(basic.LastNeptuneOpposition(jde), date.Location(), false)
@ -234,8 +231,7 @@ func LastOpposition(date time.Time) time.Time {
// NextOpposition 下一次冲日 / next opposition. // NextOpposition 下一次冲日 / next opposition.
// //
// 返回 date 之后最近一次冲日时刻，结果保持 date 的时区。 // 返回 date 当前或之后最近一次冲日时刻，结果保持 date 的时区。
// Returns the next opposition relative to date, keeping date's time zone.
func NextOpposition(date time.Time) time.Time { func NextOpposition(date time.Time) time.Time {
jde := basic.TD2UT(basic.Date2JDE(date.UTC()), true) jde := basic.TD2UT(basic.Date2JDE(date.UTC()), true)
return basic.JDE2DateByZone(basic.NextNeptuneOpposition(jde), date.Location(), false) return basic.JDE2DateByZone(basic.NextNeptuneOpposition(jde), date.Location(), false)
@ -243,8 +239,7 @@ func NextOpposition(date time.Time) time.Time {
// LastProgradeToRetrograde 上一次顺行转逆行留 / previous station from prograde to retrograde. // LastProgradeToRetrograde 上一次顺行转逆行留 / previous station from prograde to retrograde.
// //
// 返回 date 之前最近一次由顺行转为逆行的留时刻，结果保持 date 的时区。 // 返回 date 当前或之前最近一次由顺行转为逆行的留时刻，结果保持 date 的时区。
// Returns the most recent stationary point where motion changes from prograde to retrograde relative to date, keeping date's time zone.
func LastProgradeToRetrograde(date time.Time) time.Time { func LastProgradeToRetrograde(date time.Time) time.Time {
jde := basic.TD2UT(basic.Date2JDE(date.UTC()), true) jde := basic.TD2UT(basic.Date2JDE(date.UTC()), true)
return basic.JDE2DateByZone(basic.LastNeptuneProgradeToRetrograde(jde), date.Location(), false) return basic.JDE2DateByZone(basic.LastNeptuneProgradeToRetrograde(jde), date.Location(), false)
@ -252,8 +247,7 @@ func LastProgradeToRetrograde(date time.Time) time.Time {
// NextProgradeToRetrograde 下一次顺行转逆行留 / next station from prograde to retrograde. // NextProgradeToRetrograde 下一次顺行转逆行留 / next station from prograde to retrograde.
// //
// 返回 date 之后最近一次由顺行转为逆行的留时刻，结果保持 date 的时区。 // 返回 date 当前或之后最近一次由顺行转为逆行的留时刻，结果保持 date 的时区。
// Returns the next stationary point where motion changes from prograde to retrograde relative to date, keeping date's time zone.
func NextProgradeToRetrograde(date time.Time) time.Time { func NextProgradeToRetrograde(date time.Time) time.Time {
jde := basic.TD2UT(basic.Date2JDE(date.UTC()), true) jde := basic.TD2UT(basic.Date2JDE(date.UTC()), true)
return basic.JDE2DateByZone(basic.NextNeptuneProgradeToRetrograde(jde), date.Location(), false) return basic.JDE2DateByZone(basic.NextNeptuneProgradeToRetrograde(jde), date.Location(), false)
@ -261,8 +255,7 @@ func NextProgradeToRetrograde(date time.Time) time.Time {
// LastRetrogradeToPrograde 上一次逆行转顺行留 / previous station from retrograde to prograde. // LastRetrogradeToPrograde 上一次逆行转顺行留 / previous station from retrograde to prograde.
// //
// 返回 date 之前最近一次由逆行转为顺行的留时刻，结果保持 date 的时区。 // 返回 date 当前或之前最近一次由逆行转为顺行的留时刻，结果保持 date 的时区。
// Returns the most recent stationary point where motion changes from retrograde to prograde relative to date, keeping date's time zone.
func LastRetrogradeToPrograde(date time.Time) time.Time { func LastRetrogradeToPrograde(date time.Time) time.Time {
jde := basic.TD2UT(basic.Date2JDE(date.UTC()), true) jde := basic.TD2UT(basic.Date2JDE(date.UTC()), true)
return basic.JDE2DateByZone(basic.LastNeptuneRetrogradeToPrograde(jde), date.Location(), false) return basic.JDE2DateByZone(basic.LastNeptuneRetrogradeToPrograde(jde), date.Location(), false)
@ -270,8 +263,7 @@ func LastRetrogradeToPrograde(date time.Time) time.Time {
// NextRetrogradeToPrograde 下一次逆行转顺行留 / next station from retrograde to prograde. // NextRetrogradeToPrograde 下一次逆行转顺行留 / next station from retrograde to prograde.
// //
// 返回 date 之后最近一次由逆行转为顺行的留时刻，结果保持 date 的时区。 // 返回 date 当前或之后最近一次由逆行转为顺行的留时刻，结果保持 date 的时区。
// Returns the next stationary point where motion changes from retrograde to prograde relative to date, keeping date's time zone.
func NextRetrogradeToPrograde(date time.Time) time.Time { func NextRetrogradeToPrograde(date time.Time) time.Time {
jde := basic.TD2UT(basic.Date2JDE(date.UTC()), true) jde := basic.TD2UT(basic.Date2JDE(date.UTC()), true)
return basic.JDE2DateByZone(basic.NextNeptuneRetrogradeToPrograde(jde), date.Location(), false) return basic.JDE2DateByZone(basic.NextNeptuneRetrogradeToPrograde(jde), date.Location(), false)
@ -279,8 +271,7 @@ func NextRetrogradeToPrograde(date time.Time) time.Time {
// LastEasternQuadrature 上一次东方照 / previous eastern quadrature. // LastEasternQuadrature 上一次东方照 / previous eastern quadrature.
// //
// 返回 date 之前最近一次东方照时刻，结果保持 date 的时区。 // 返回 date 当前或之前最近一次东方照时刻，结果保持 date 的时区。
// Returns the most recent eastern quadrature relative to date, keeping date's time zone.
func LastEasternQuadrature(date time.Time) time.Time { func LastEasternQuadrature(date time.Time) time.Time {
jde := basic.TD2UT(basic.Date2JDE(date.UTC()), true) jde := basic.TD2UT(basic.Date2JDE(date.UTC()), true)
return basic.JDE2DateByZone(basic.LastNeptuneEasternQuadrature(jde), date.Location(), false) return basic.JDE2DateByZone(basic.LastNeptuneEasternQuadrature(jde), date.Location(), false)
@ -288,8 +279,7 @@ func LastEasternQuadrature(date time.Time) time.Time {
// NextEasternQuadrature 下一次东方照 / next eastern quadrature. // NextEasternQuadrature 下一次东方照 / next eastern quadrature.
// //
// 返回 date 之后最近一次东方照时刻，结果保持 date 的时区。 // 返回 date 当前或之后最近一次东方照时刻，结果保持 date 的时区。
// Returns the next eastern quadrature relative to date, keeping date's time zone.
func NextEasternQuadrature(date time.Time) time.Time { func NextEasternQuadrature(date time.Time) time.Time {
jde := basic.TD2UT(basic.Date2JDE(date.UTC()), true) jde := basic.TD2UT(basic.Date2JDE(date.UTC()), true)
return basic.JDE2DateByZone(basic.NextNeptuneEasternQuadrature(jde), date.Location(), false) return basic.JDE2DateByZone(basic.NextNeptuneEasternQuadrature(jde), date.Location(), false)
@ -297,8 +287,7 @@ func NextEasternQuadrature(date time.Time) time.Time {
// LastWesternQuadrature 上一次西方照 / previous western quadrature. // LastWesternQuadrature 上一次西方照 / previous western quadrature.
// //
// 返回 date 之前最近一次西方照时刻，结果保持 date 的时区。 // 返回 date 当前或之前最近一次西方照时刻，结果保持 date 的时区。
// Returns the most recent western quadrature relative to date, keeping date's time zone.
func LastWesternQuadrature(date time.Time) time.Time { func LastWesternQuadrature(date time.Time) time.Time {
jde := basic.TD2UT(basic.Date2JDE(date.UTC()), true) jde := basic.TD2UT(basic.Date2JDE(date.UTC()), true)
return basic.JDE2DateByZone(basic.LastNeptuneWesternQuadrature(jde), date.Location(), false) return basic.JDE2DateByZone(basic.LastNeptuneWesternQuadrature(jde), date.Location(), false)
@ -306,8 +295,7 @@ func LastWesternQuadrature(date time.Time) time.Time {
// NextWesternQuadrature 下一次西方照 / next western quadrature. // NextWesternQuadrature 下一次西方照 / next western quadrature.
// //
// 返回 date 之后最近一次西方照时刻，结果保持 date 的时区。 // 返回 date 当前或之后最近一次西方照时刻，结果保持 date 的时区。
// Returns the next western quadrature relative to date, keeping date's time zone.
func NextWesternQuadrature(date time.Time) time.Time { func NextWesternQuadrature(date time.Time) time.Time {
jde := basic.TD2UT(basic.Date2JDE(date.UTC()), true) jde := basic.TD2UT(basic.Date2JDE(date.UTC()), true)
return basic.JDE2DateByZone(basic.NextNeptuneWesternQuadrature(jde), date.Location(), false) return basic.JDE2DateByZone(basic.NextNeptuneWesternQuadrature(jde), date.Location(), false)

7
neptune/neptune_test.go
View File

@ -1,14 +1,19 @@
package neptune package neptune
import ( import (
"math"
"testing" "testing"
"time" "time"
) )
func sameUnixSecond(got time.Time, want int64) bool {
return math.Abs(float64(got.Unix()-want)) <= 1
}
func TestNeptune(t *testing.T) { func TestNeptune(t *testing.T) {
tz := time.FixedZone("CST", 8*3600) tz := time.FixedZone("CST", 8*3600)
date := time.Date(2022, 01, 20, 00, 00, 00, 00, tz) date := time.Date(2022, 01, 20, 00, 00, 00, 00, tz)
if NextConjunction(date).Unix() != 1647171800 { if !sameUnixSecond(NextConjunction(date), 1647171800) {
t.Fatal(NextConjunction(date).Unix()) t.Fatal(NextConjunction(date).Unix())
} }
if CulminationTime(date, 115).Unix() != 1642665021 { if CulminationTime(date, 115).Unix() != 1642665021 {

36
saturn/saturn.go
View File

@ -207,8 +207,7 @@ func SetTime(date time.Time, lon, lat, height float64, aero bool) (time.Time, er
// LastConjunction 上一次合日 / previous conjunction with the Sun. // LastConjunction 上一次合日 / previous conjunction with the Sun.
// //
// 返回 date 之前最近一次与太阳的合日时刻，结果保持 date 的时区。 // 返回 date 当前或之前最近一次与太阳的合日时刻，结果保持 date 的时区。
// Returns the most recent conjunction with the Sun relative to date, keeping date's time zone.
func LastConjunction(date time.Time) time.Time { func LastConjunction(date time.Time) time.Time {
jde := basic.TD2UT(basic.Date2JDE(date.UTC()), true) jde := basic.TD2UT(basic.Date2JDE(date.UTC()), true)
return basic.JDE2DateByZone(basic.LastSaturnConjunction(jde), date.Location(), false) return basic.JDE2DateByZone(basic.LastSaturnConjunction(jde), date.Location(), false)
@ -216,8 +215,7 @@ func LastConjunction(date time.Time) time.Time {
// NextConjunction 下一次合日 / next conjunction with the Sun. // NextConjunction 下一次合日 / next conjunction with the Sun.
// //
// 返回 date 之后最近一次与太阳的合日时刻，结果保持 date 的时区。 // 返回 date 当前或之后最近一次与太阳的合日时刻，结果保持 date 的时区。
// Returns the next conjunction with the Sun relative to date, keeping date's time zone.
func NextConjunction(date time.Time) time.Time { func NextConjunction(date time.Time) time.Time {
jde := basic.TD2UT(basic.Date2JDE(date.UTC()), true) jde := basic.TD2UT(basic.Date2JDE(date.UTC()), true)
return basic.JDE2DateByZone(basic.NextSaturnConjunction(jde), date.Location(), false) return basic.JDE2DateByZone(basic.NextSaturnConjunction(jde), date.Location(), false)
@ -225,8 +223,7 @@ func NextConjunction(date time.Time) time.Time {
// LastOpposition 上一次冲日 / previous opposition. // LastOpposition 上一次冲日 / previous opposition.
// //
// 返回 date 之前最近一次冲日时刻，结果保持 date 的时区。 // 返回 date 当前或之前最近一次冲日时刻，结果保持 date 的时区。
// Returns the most recent opposition relative to date, keeping date's time zone.
func LastOpposition(date time.Time) time.Time { func LastOpposition(date time.Time) time.Time {
jde := basic.TD2UT(basic.Date2JDE(date.UTC()), true) jde := basic.TD2UT(basic.Date2JDE(date.UTC()), true)
return basic.JDE2DateByZone(basic.LastSaturnOpposition(jde), date.Location(), false) return basic.JDE2DateByZone(basic.LastSaturnOpposition(jde), date.Location(), false)
@ -234,8 +231,7 @@ func LastOpposition(date time.Time) time.Time {
// NextOpposition 下一次冲日 / next opposition. // NextOpposition 下一次冲日 / next opposition.
// //
// 返回 date 之后最近一次冲日时刻，结果保持 date 的时区。 // 返回 date 当前或之后最近一次冲日时刻，结果保持 date 的时区。
// Returns the next opposition relative to date, keeping date's time zone.
func NextOpposition(date time.Time) time.Time { func NextOpposition(date time.Time) time.Time {
jde := basic.TD2UT(basic.Date2JDE(date.UTC()), true) jde := basic.TD2UT(basic.Date2JDE(date.UTC()), true)
return basic.JDE2DateByZone(basic.NextSaturnOpposition(jde), date.Location(), false) return basic.JDE2DateByZone(basic.NextSaturnOpposition(jde), date.Location(), false)
@ -243,8 +239,7 @@ func NextOpposition(date time.Time) time.Time {
// LastProgradeToRetrograde 上一次顺行转逆行留 / previous station from prograde to retrograde. // LastProgradeToRetrograde 上一次顺行转逆行留 / previous station from prograde to retrograde.
// //
// 返回 date 之前最近一次由顺行转为逆行的留时刻，结果保持 date 的时区。 // 返回 date 当前或之前最近一次由顺行转为逆行的留时刻，结果保持 date 的时区。
// Returns the most recent stationary point where motion changes from prograde to retrograde relative to date, keeping date's time zone.
func LastProgradeToRetrograde(date time.Time) time.Time { func LastProgradeToRetrograde(date time.Time) time.Time {
jde := basic.TD2UT(basic.Date2JDE(date.UTC()), true) jde := basic.TD2UT(basic.Date2JDE(date.UTC()), true)
return basic.JDE2DateByZone(basic.LastSaturnProgradeToRetrograde(jde), date.Location(), false) return basic.JDE2DateByZone(basic.LastSaturnProgradeToRetrograde(jde), date.Location(), false)
@ -252,8 +247,7 @@ func LastProgradeToRetrograde(date time.Time) time.Time {
// NextProgradeToRetrograde 下一次顺行转逆行留 / next station from prograde to retrograde. // NextProgradeToRetrograde 下一次顺行转逆行留 / next station from prograde to retrograde.
// //
// 返回 date 之后最近一次由顺行转为逆行的留时刻，结果保持 date 的时区。 // 返回 date 当前或之后最近一次由顺行转为逆行的留时刻，结果保持 date 的时区。
// Returns the next stationary point where motion changes from prograde to retrograde relative to date, keeping date's time zone.
func NextProgradeToRetrograde(date time.Time) time.Time { func NextProgradeToRetrograde(date time.Time) time.Time {
jde := basic.TD2UT(basic.Date2JDE(date.UTC()), true) jde := basic.TD2UT(basic.Date2JDE(date.UTC()), true)
return basic.JDE2DateByZone(basic.NextSaturnProgradeToRetrograde(jde), date.Location(), false) return basic.JDE2DateByZone(basic.NextSaturnProgradeToRetrograde(jde), date.Location(), false)
@ -261,8 +255,7 @@ func NextProgradeToRetrograde(date time.Time) time.Time {
// LastRetrogradeToPrograde 上一次逆行转顺行留 / previous station from retrograde to prograde. // LastRetrogradeToPrograde 上一次逆行转顺行留 / previous station from retrograde to prograde.
// //
// 返回 date 之前最近一次由逆行转为顺行的留时刻，结果保持 date 的时区。 // 返回 date 当前或之前最近一次由逆行转为顺行的留时刻，结果保持 date 的时区。
// Returns the most recent stationary point where motion changes from retrograde to prograde relative to date, keeping date's time zone.
func LastRetrogradeToPrograde(date time.Time) time.Time { func LastRetrogradeToPrograde(date time.Time) time.Time {
jde := basic.TD2UT(basic.Date2JDE(date.UTC()), true) jde := basic.TD2UT(basic.Date2JDE(date.UTC()), true)
return basic.JDE2DateByZone(basic.LastSaturnRetrogradeToPrograde(jde), date.Location(), false) return basic.JDE2DateByZone(basic.LastSaturnRetrogradeToPrograde(jde), date.Location(), false)
@ -270,8 +263,7 @@ func LastRetrogradeToPrograde(date time.Time) time.Time {
// NextRetrogradeToPrograde 下一次逆行转顺行留 / next station from retrograde to prograde. // NextRetrogradeToPrograde 下一次逆行转顺行留 / next station from retrograde to prograde.
// //
// 返回 date 之后最近一次由逆行转为顺行的留时刻，结果保持 date 的时区。 // 返回 date 当前或之后最近一次由逆行转为顺行的留时刻，结果保持 date 的时区。
// Returns the next stationary point where motion changes from retrograde to prograde relative to date, keeping date's time zone.
func NextRetrogradeToPrograde(date time.Time) time.Time { func NextRetrogradeToPrograde(date time.Time) time.Time {
jde := basic.TD2UT(basic.Date2JDE(date.UTC()), true) jde := basic.TD2UT(basic.Date2JDE(date.UTC()), true)
return basic.JDE2DateByZone(basic.NextSaturnRetrogradeToPrograde(jde), date.Location(), false) return basic.JDE2DateByZone(basic.NextSaturnRetrogradeToPrograde(jde), date.Location(), false)
@ -279,8 +271,7 @@ func NextRetrogradeToPrograde(date time.Time) time.Time {
// LastEasternQuadrature 上一次东方照 / previous eastern quadrature. // LastEasternQuadrature 上一次东方照 / previous eastern quadrature.
// //
// 返回 date 之前最近一次东方照时刻，结果保持 date 的时区。 // 返回 date 当前或之前最近一次东方照时刻，结果保持 date 的时区。
// Returns the most recent eastern quadrature relative to date, keeping date's time zone.
func LastEasternQuadrature(date time.Time) time.Time { func LastEasternQuadrature(date time.Time) time.Time {
jde := basic.TD2UT(basic.Date2JDE(date.UTC()), true) jde := basic.TD2UT(basic.Date2JDE(date.UTC()), true)
return basic.JDE2DateByZone(basic.LastSaturnEasternQuadrature(jde), date.Location(), false) return basic.JDE2DateByZone(basic.LastSaturnEasternQuadrature(jde), date.Location(), false)
@ -288,8 +279,7 @@ func LastEasternQuadrature(date time.Time) time.Time {
// NextEasternQuadrature 下一次东方照 / next eastern quadrature. // NextEasternQuadrature 下一次东方照 / next eastern quadrature.
// //
// 返回 date 之后最近一次东方照时刻，结果保持 date 的时区。 // 返回 date 当前或之后最近一次东方照时刻，结果保持 date 的时区。
// Returns the next eastern quadrature relative to date, keeping date's time zone.
func NextEasternQuadrature(date time.Time) time.Time { func NextEasternQuadrature(date time.Time) time.Time {
jde := basic.TD2UT(basic.Date2JDE(date.UTC()), true) jde := basic.TD2UT(basic.Date2JDE(date.UTC()), true)
return basic.JDE2DateByZone(basic.NextSaturnEasternQuadrature(jde), date.Location(), false) return basic.JDE2DateByZone(basic.NextSaturnEasternQuadrature(jde), date.Location(), false)
@ -297,8 +287,7 @@ func NextEasternQuadrature(date time.Time) time.Time {
// LastWesternQuadrature 上一次西方照 / previous western quadrature. // LastWesternQuadrature 上一次西方照 / previous western quadrature.
// //
// 返回 date 之前最近一次西方照时刻，结果保持 date 的时区。 // 返回 date 当前或之前最近一次西方照时刻，结果保持 date 的时区。
// Returns the most recent western quadrature relative to date, keeping date's time zone.
func LastWesternQuadrature(date time.Time) time.Time { func LastWesternQuadrature(date time.Time) time.Time {
jde := basic.TD2UT(basic.Date2JDE(date.UTC()), true) jde := basic.TD2UT(basic.Date2JDE(date.UTC()), true)
return basic.JDE2DateByZone(basic.LastSaturnWesternQuadrature(jde), date.Location(), false) return basic.JDE2DateByZone(basic.LastSaturnWesternQuadrature(jde), date.Location(), false)
@ -306,8 +295,7 @@ func LastWesternQuadrature(date time.Time) time.Time {
// NextWesternQuadrature 下一次西方照 / next western quadrature. // NextWesternQuadrature 下一次西方照 / next western quadrature.
// //
// 返回 date 之后最近一次西方照时刻，结果保持 date 的时区。 // 返回 date 当前或之后最近一次西方照时刻，结果保持 date 的时区。
// Returns the next western quadrature relative to date, keeping date's time zone.
func NextWesternQuadrature(date time.Time) time.Time { func NextWesternQuadrature(date time.Time) time.Time {
jde := basic.TD2UT(basic.Date2JDE(date.UTC()), true) jde := basic.TD2UT(basic.Date2JDE(date.UTC()), true)
return basic.JDE2DateByZone(basic.NextSaturnWesternQuadrature(jde), date.Location(), false) return basic.JDE2DateByZone(basic.NextSaturnWesternQuadrature(jde), date.Location(), false)

36
uranus/uranus.go
View File

@ -207,8 +207,7 @@ func SetTime(date time.Time, lon, lat, height float64, aero bool) (time.Time, er
// LastConjunction 上一次合日 / previous conjunction with the Sun. // LastConjunction 上一次合日 / previous conjunction with the Sun.
// //
// 返回 date 之前最近一次与太阳的合日时刻，结果保持 date 的时区。 // 返回 date 当前或之前最近一次与太阳的合日时刻，结果保持 date 的时区。
// Returns the most recent conjunction with the Sun relative to date, keeping date's time zone.
func LastConjunction(date time.Time) time.Time { func LastConjunction(date time.Time) time.Time {
jde := basic.TD2UT(basic.Date2JDE(date.UTC()), true) jde := basic.TD2UT(basic.Date2JDE(date.UTC()), true)
return basic.JDE2DateByZone(basic.LastUranusConjunction(jde), date.Location(), false) return basic.JDE2DateByZone(basic.LastUranusConjunction(jde), date.Location(), false)
@ -216,8 +215,7 @@ func LastConjunction(date time.Time) time.Time {
// NextConjunction 下一次合日 / next conjunction with the Sun. // NextConjunction 下一次合日 / next conjunction with the Sun.
// //
// 返回 date 之后最近一次与太阳的合日时刻，结果保持 date 的时区。 // 返回 date 当前或之后最近一次与太阳的合日时刻，结果保持 date 的时区。
// Returns the next conjunction with the Sun relative to date, keeping date's time zone.
func NextConjunction(date time.Time) time.Time { func NextConjunction(date time.Time) time.Time {
jde := basic.TD2UT(basic.Date2JDE(date.UTC()), true) jde := basic.TD2UT(basic.Date2JDE(date.UTC()), true)
return basic.JDE2DateByZone(basic.NextUranusConjunction(jde), date.Location(), false) return basic.JDE2DateByZone(basic.NextUranusConjunction(jde), date.Location(), false)
@ -225,8 +223,7 @@ func NextConjunction(date time.Time) time.Time {
// LastOpposition 上一次冲日 / previous opposition. // LastOpposition 上一次冲日 / previous opposition.
// //
// 返回 date 之前最近一次冲日时刻，结果保持 date 的时区。 // 返回 date 当前或之前最近一次冲日时刻，结果保持 date 的时区。
// Returns the most recent opposition relative to date, keeping date's time zone.
func LastOpposition(date time.Time) time.Time { func LastOpposition(date time.Time) time.Time {
jde := basic.TD2UT(basic.Date2JDE(date.UTC()), true) jde := basic.TD2UT(basic.Date2JDE(date.UTC()), true)
return basic.JDE2DateByZone(basic.LastUranusOpposition(jde), date.Location(), false) return basic.JDE2DateByZone(basic.LastUranusOpposition(jde), date.Location(), false)
@ -234,8 +231,7 @@ func LastOpposition(date time.Time) time.Time {
// NextOpposition 下一次冲日 / next opposition. // NextOpposition 下一次冲日 / next opposition.
// //
// 返回 date 之后最近一次冲日时刻，结果保持 date 的时区。 // 返回 date 当前或之后最近一次冲日时刻，结果保持 date 的时区。
// Returns the next opposition relative to date, keeping date's time zone.
func NextOpposition(date time.Time) time.Time { func NextOpposition(date time.Time) time.Time {
jde := basic.TD2UT(basic.Date2JDE(date.UTC()), true) jde := basic.TD2UT(basic.Date2JDE(date.UTC()), true)
return basic.JDE2DateByZone(basic.NextUranusOpposition(jde), date.Location(), false) return basic.JDE2DateByZone(basic.NextUranusOpposition(jde), date.Location(), false)
@ -243,8 +239,7 @@ func NextOpposition(date time.Time) time.Time {
// LastProgradeToRetrograde 上一次顺行转逆行留 / previous station from prograde to retrograde. // LastProgradeToRetrograde 上一次顺行转逆行留 / previous station from prograde to retrograde.
// //
// 返回 date 之前最近一次由顺行转为逆行的留时刻，结果保持 date 的时区。 // 返回 date 当前或之前最近一次由顺行转为逆行的留时刻，结果保持 date 的时区。
// Returns the most recent stationary point where motion changes from prograde to retrograde relative to date, keeping date's time zone.
func LastProgradeToRetrograde(date time.Time) time.Time { func LastProgradeToRetrograde(date time.Time) time.Time {
jde := basic.TD2UT(basic.Date2JDE(date.UTC()), true) jde := basic.TD2UT(basic.Date2JDE(date.UTC()), true)
return basic.JDE2DateByZone(basic.LastUranusProgradeToRetrograde(jde), date.Location(), false) return basic.JDE2DateByZone(basic.LastUranusProgradeToRetrograde(jde), date.Location(), false)
@ -252,8 +247,7 @@ func LastProgradeToRetrograde(date time.Time) time.Time {
// NextProgradeToRetrograde 下一次顺行转逆行留 / next station from prograde to retrograde. // NextProgradeToRetrograde 下一次顺行转逆行留 / next station from prograde to retrograde.
// //
// 返回 date 之后最近一次由顺行转为逆行的留时刻，结果保持 date 的时区。 // 返回 date 当前或之后最近一次由顺行转为逆行的留时刻，结果保持 date 的时区。
// Returns the next stationary point where motion changes from prograde to retrograde relative to date, keeping date's time zone.
func NextProgradeToRetrograde(date time.Time) time.Time { func NextProgradeToRetrograde(date time.Time) time.Time {
jde := basic.TD2UT(basic.Date2JDE(date.UTC()), true) jde := basic.TD2UT(basic.Date2JDE(date.UTC()), true)
return basic.JDE2DateByZone(basic.NextUranusProgradeToRetrograde(jde), date.Location(), false) return basic.JDE2DateByZone(basic.NextUranusProgradeToRetrograde(jde), date.Location(), false)
@ -261,8 +255,7 @@ func NextProgradeToRetrograde(date time.Time) time.Time {
// LastRetrogradeToPrograde 上一次逆行转顺行留 / previous station from retrograde to prograde. // LastRetrogradeToPrograde 上一次逆行转顺行留 / previous station from retrograde to prograde.
// //
// 返回 date 之前最近一次由逆行转为顺行的留时刻，结果保持 date 的时区。 // 返回 date 当前或之前最近一次由逆行转为顺行的留时刻，结果保持 date 的时区。
// Returns the most recent stationary point where motion changes from retrograde to prograde relative to date, keeping date's time zone.
func LastRetrogradeToPrograde(date time.Time) time.Time { func LastRetrogradeToPrograde(date time.Time) time.Time {
jde := basic.TD2UT(basic.Date2JDE(date.UTC()), true) jde := basic.TD2UT(basic.Date2JDE(date.UTC()), true)
return basic.JDE2DateByZone(basic.LastUranusRetrogradeToPrograde(jde), date.Location(), false) return basic.JDE2DateByZone(basic.LastUranusRetrogradeToPrograde(jde), date.Location(), false)
@ -270,8 +263,7 @@ func LastRetrogradeToPrograde(date time.Time) time.Time {
// NextRetrogradeToPrograde 下一次逆行转顺行留 / next station from retrograde to prograde. // NextRetrogradeToPrograde 下一次逆行转顺行留 / next station from retrograde to prograde.
// //
// 返回 date 之后最近一次由逆行转为顺行的留时刻，结果保持 date 的时区。 // 返回 date 当前或之后最近一次由逆行转为顺行的留时刻，结果保持 date 的时区。
// Returns the next stationary point where motion changes from retrograde to prograde relative to date, keeping date's time zone.
func NextRetrogradeToPrograde(date time.Time) time.Time { func NextRetrogradeToPrograde(date time.Time) time.Time {
jde := basic.TD2UT(basic.Date2JDE(date.UTC()), true) jde := basic.TD2UT(basic.Date2JDE(date.UTC()), true)
return basic.JDE2DateByZone(basic.NextUranusRetrogradeToPrograde(jde), date.Location(), false) return basic.JDE2DateByZone(basic.NextUranusRetrogradeToPrograde(jde), date.Location(), false)
@ -279,8 +271,7 @@ func NextRetrogradeToPrograde(date time.Time) time.Time {
// LastEasternQuadrature 上一次东方照 / previous eastern quadrature. // LastEasternQuadrature 上一次东方照 / previous eastern quadrature.
// //
// 返回 date 之前最近一次东方照时刻，结果保持 date 的时区。 // 返回 date 当前或之前最近一次东方照时刻，结果保持 date 的时区。
// Returns the most recent eastern quadrature relative to date, keeping date's time zone.
func LastEasternQuadrature(date time.Time) time.Time { func LastEasternQuadrature(date time.Time) time.Time {
jde := basic.TD2UT(basic.Date2JDE(date.UTC()), true) jde := basic.TD2UT(basic.Date2JDE(date.UTC()), true)
return basic.JDE2DateByZone(basic.LastUranusEasternQuadrature(jde), date.Location(), false) return basic.JDE2DateByZone(basic.LastUranusEasternQuadrature(jde), date.Location(), false)
@ -288,8 +279,7 @@ func LastEasternQuadrature(date time.Time) time.Time {
// NextEasternQuadrature 下一次东方照 / next eastern quadrature. // NextEasternQuadrature 下一次东方照 / next eastern quadrature.
// //
// 返回 date 之后最近一次东方照时刻，结果保持 date 的时区。 // 返回 date 当前或之后最近一次东方照时刻，结果保持 date 的时区。
// Returns the next eastern quadrature relative to date, keeping date's time zone.
func NextEasternQuadrature(date time.Time) time.Time { func NextEasternQuadrature(date time.Time) time.Time {
jde := basic.TD2UT(basic.Date2JDE(date.UTC()), true) jde := basic.TD2UT(basic.Date2JDE(date.UTC()), true)
return basic.JDE2DateByZone(basic.NextUranusEasternQuadrature(jde), date.Location(), false) return basic.JDE2DateByZone(basic.NextUranusEasternQuadrature(jde), date.Location(), false)
@ -297,8 +287,7 @@ func NextEasternQuadrature(date time.Time) time.Time {
// LastWesternQuadrature 上一次西方照 / previous western quadrature. // LastWesternQuadrature 上一次西方照 / previous western quadrature.
// //
// 返回 date 之前最近一次西方照时刻，结果保持 date 的时区。 // 返回 date 当前或之前最近一次西方照时刻，结果保持 date 的时区。
// Returns the most recent western quadrature relative to date, keeping date's time zone.
func LastWesternQuadrature(date time.Time) time.Time { func LastWesternQuadrature(date time.Time) time.Time {
jde := basic.TD2UT(basic.Date2JDE(date.UTC()), true) jde := basic.TD2UT(basic.Date2JDE(date.UTC()), true)
return basic.JDE2DateByZone(basic.LastUranusWesternQuadrature(jde), date.Location(), false) return basic.JDE2DateByZone(basic.LastUranusWesternQuadrature(jde), date.Location(), false)
@ -306,8 +295,7 @@ func LastWesternQuadrature(date time.Time) time.Time {
// NextWesternQuadrature 下一次西方照 / next western quadrature. // NextWesternQuadrature 下一次西方照 / next western quadrature.
// //
// 返回 date 之后最近一次西方照时刻，结果保持 date 的时区。 // 返回 date 当前或之后最近一次西方照时刻，结果保持 date 的时区。
// Returns the next western quadrature relative to date, keeping date's time zone.
func NextWesternQuadrature(date time.Time) time.Time { func NextWesternQuadrature(date time.Time) time.Time {
jde := basic.TD2UT(basic.Date2JDE(date.UTC()), true) jde := basic.TD2UT(basic.Date2JDE(date.UTC()), true)
return basic.JDE2DateByZone(basic.NextUranusWesternQuadrature(jde), date.Location(), false) return basic.JDE2DateByZone(basic.NextUranusWesternQuadrature(jde), date.Location(), false)

86
venus/venus.go
View File

@ -207,8 +207,7 @@ func SetTime(date time.Time, lon, lat, height float64, aero bool) (time.Time, er
// LastConjunction 上一次合日 / previous conjunction with the Sun. // LastConjunction 上一次合日 / previous conjunction with the Sun.
// //
// 返回 date 之前最近一次与太阳的合日时刻，结果保持 date 的时区。 // 返回 date 当前或之前最近一次与太阳的合日时刻，结果保持 date 的时区。
// Returns the most recent conjunction with the Sun relative to date, keeping date's time zone.
func LastConjunction(date time.Time) time.Time { func LastConjunction(date time.Time) time.Time {
jde := basic.TD2UT(basic.Date2JDE(date.UTC()), true) jde := basic.TD2UT(basic.Date2JDE(date.UTC()), true)
return basic.JDE2DateByZone(basic.LastVenusConjunction(jde), date.Location(), false) return basic.JDE2DateByZone(basic.LastVenusConjunction(jde), date.Location(), false)
@ -216,8 +215,7 @@ func LastConjunction(date time.Time) time.Time {
// NextConjunction 下一次合日 / next conjunction with the Sun. // NextConjunction 下一次合日 / next conjunction with the Sun.
// //
// 返回 date 之后最近一次与太阳的合日时刻，结果保持 date 的时区。 // 返回 date 当前或之后最近一次与太阳的合日时刻，结果保持 date 的时区。
// Returns the next conjunction with the Sun relative to date, keeping date's time zone.
func NextConjunction(date time.Time) time.Time { func NextConjunction(date time.Time) time.Time {
jde := basic.TD2UT(basic.Date2JDE(date.UTC()), true) jde := basic.TD2UT(basic.Date2JDE(date.UTC()), true)
return basic.JDE2DateByZone(basic.NextVenusConjunction(jde), date.Location(), false) return basic.JDE2DateByZone(basic.NextVenusConjunction(jde), date.Location(), false)
@ -225,144 +223,128 @@ func NextConjunction(date time.Time) time.Time {
// LastInferiorConjunction 上一次下合 / previous inferior conjunction. // LastInferiorConjunction 上一次下合 / previous inferior conjunction.
// //
// 返回 date 之前最近一次下合时刻，结果保持 date 的时区。 // 返回 date 当前或之前最近一次下合时刻，结果保持 date 的时区。
// Returns the most recent inferior conjunction relative to date, keeping date's time zone.
func LastInferiorConjunction(date time.Time) time.Time { func LastInferiorConjunction(date time.Time) time.Time {
jde := basic.TD2UT(basic.Date2JDE(date.UTC()), true) jde := basic.TD2UT(basic.Date2JDE(date.UTC()), true)
return basic.JDE2DateByZone(basic.LastVenusInferiorConjunction(jde), date.Location(), false) return basic.JDE2DateByZone(basic.LastVenusInferiorConjunctionInclusive(jde), date.Location(), false)
} }
// NextInferiorConjunction 下一次下合 / next inferior conjunction. // NextInferiorConjunction 下一次下合 / next inferior conjunction.
// //
// 返回 date 之后最近一次下合时刻，结果保持 date 的时区。 // 返回 date 当前或之后最近一次下合时刻，结果保持 date 的时区。
// Returns the next inferior conjunction relative to date, keeping date's time zone.
func NextInferiorConjunction(date time.Time) time.Time { func NextInferiorConjunction(date time.Time) time.Time {
jde := basic.TD2UT(basic.Date2JDE(date.UTC()), true) jde := basic.TD2UT(basic.Date2JDE(date.UTC()), true)
return basic.JDE2DateByZone(basic.NextVenusInferiorConjunction(jde), date.Location(), false) return basic.JDE2DateByZone(basic.NextVenusInferiorConjunctionInclusive(jde), date.Location(), false)
} }
// LastSuperiorConjunction 上一次上合 / previous superior conjunction. // LastSuperiorConjunction 上一次上合 / previous superior conjunction.
// //
// 返回 date 之前最近一次上合时刻，结果保持 date 的时区。 // 返回 date 当前或之前最近一次上合时刻，结果保持 date 的时区。
// Returns the most recent superior conjunction relative to date, keeping date's time zone.
func LastSuperiorConjunction(date time.Time) time.Time { func LastSuperiorConjunction(date time.Time) time.Time {
jde := basic.TD2UT(basic.Date2JDE(date.UTC()), true) jde := basic.TD2UT(basic.Date2JDE(date.UTC()), true)
return basic.JDE2DateByZone(basic.LastVenusSuperiorConjunction(jde), date.Location(), false) return basic.JDE2DateByZone(basic.LastVenusSuperiorConjunctionInclusive(jde), date.Location(), false)
} }
// NextSuperiorConjunction 下一次上合 / next superior conjunction. // NextSuperiorConjunction 下一次上合 / next superior conjunction.
// //
// 返回 date 之后最近一次上合时刻，结果保持 date 的时区。 // 返回 date 当前或之后最近一次上合时刻，结果保持 date 的时区。
// Returns the next superior conjunction relative to date, keeping date's time zone.
func NextSuperiorConjunction(date time.Time) time.Time { func NextSuperiorConjunction(date time.Time) time.Time {
jde := basic.TD2UT(basic.Date2JDE(date.UTC()), true) jde := basic.TD2UT(basic.Date2JDE(date.UTC()), true)
return basic.JDE2DateByZone(basic.NextVenusSuperiorConjunction(jde), date.Location(), false) return basic.JDE2DateByZone(basic.NextVenusSuperiorConjunctionInclusive(jde), date.Location(), false)
} }
// LastRetrograde 上一次留 / previous stationary point. // LastRetrograde 上一次留 / previous stationary point.
// //
// 返回 date 之前最近一次留时刻，不区分顺转逆还是逆转顺，结果保持 date 的时区。 // 返回 date 当前或之前最近一次留时刻，不区分顺转逆还是逆转顺，结果保持 date 的时区。
// Returns the most recent stationary point relative to date without distinguishing direction, keeping date's time zone.
func LastRetrograde(date time.Time) time.Time { func LastRetrograde(date time.Time) time.Time {
jde := basic.TD2UT(basic.Date2JDE(date.UTC()), true) jde := basic.TD2UT(basic.Date2JDE(date.UTC()), true)
return basic.JDE2DateByZone(basic.LastVenusRetrograde(jde), date.Location(), false) return basic.JDE2DateByZone(basic.LastVenusRetrogradeInclusive(jde), date.Location(), false)
} }
// NextRetrograde 下一次留 / next stationary point. // NextRetrograde 下一次留 / next stationary point.
// //
// 返回 date 之后最近一次留时刻，不区分顺转逆还是逆转顺，结果保持 date 的时区。 // 返回 date 当前或之后最近一次留时刻，不区分顺转逆还是逆转顺，结果保持 date 的时区。
// Returns the next stationary point relative to date without distinguishing direction, keeping date's time zone.
func NextRetrograde(date time.Time) time.Time { func NextRetrograde(date time.Time) time.Time {
jde := basic.TD2UT(basic.Date2JDE(date.UTC()), true) jde := basic.TD2UT(basic.Date2JDE(date.UTC()), true)
return basic.JDE2DateByZone(basic.NextVenusRetrograde(jde), date.Location(), false) return basic.JDE2DateByZone(basic.NextVenusRetrogradeInclusive(jde), date.Location(), false)
} }
// LastProgradeToRetrograde 上一次顺行转逆行留 / previous station from prograde to retrograde. // LastProgradeToRetrograde 上一次顺行转逆行留 / previous station from prograde to retrograde.
// //
// 返回 date 之前最近一次由顺行转为逆行的留时刻，结果保持 date 的时区。 // 返回 date 当前或之前最近一次由顺行转为逆行的留时刻，结果保持 date 的时区。
// Returns the most recent stationary point where motion changes from prograde to retrograde relative to date, keeping date's time zone.
func LastProgradeToRetrograde(date time.Time) time.Time { func LastProgradeToRetrograde(date time.Time) time.Time {
jde := basic.TD2UT(basic.Date2JDE(date.UTC()), true) jde := basic.TD2UT(basic.Date2JDE(date.UTC()), true)
return basic.JDE2DateByZone(basic.LastVenusProgradeToRetrograde(jde), date.Location(), false) return basic.JDE2DateByZone(basic.LastVenusProgradeToRetrogradeInclusive(jde), date.Location(), false)
} }
// NextProgradeToRetrograde 下一次顺行转逆行留 / next station from prograde to retrograde. // NextProgradeToRetrograde 下一次顺行转逆行留 / next station from prograde to retrograde.
// //
// 返回 date 之后最近一次由顺行转为逆行的留时刻，结果保持 date 的时区。 // 返回 date 当前或之后最近一次由顺行转为逆行的留时刻，结果保持 date 的时区。
// Returns the next stationary point where motion changes from prograde to retrograde relative to date, keeping date's time zone.
func NextProgradeToRetrograde(date time.Time) time.Time { func NextProgradeToRetrograde(date time.Time) time.Time {
jde := basic.TD2UT(basic.Date2JDE(date.UTC()), true) jde := basic.TD2UT(basic.Date2JDE(date.UTC()), true)
return basic.JDE2DateByZone(basic.NextVenusProgradeToRetrograde(jde), date.Location(), false) return basic.JDE2DateByZone(basic.NextVenusProgradeToRetrogradeInclusive(jde), date.Location(), false)
} }
// LastRetrogradeToPrograde 上一次逆行转顺行留 / previous station from retrograde to prograde. // LastRetrogradeToPrograde 上一次逆行转顺行留 / previous station from retrograde to prograde.
// //
// 返回 date 之前最近一次由逆行转为顺行的留时刻，结果保持 date 的时区。 // 返回 date 当前或之前最近一次由逆行转为顺行的留时刻，结果保持 date 的时区。
// Returns the most recent stationary point where motion changes from retrograde to prograde relative to date, keeping date's time zone.
func LastRetrogradeToPrograde(date time.Time) time.Time { func LastRetrogradeToPrograde(date time.Time) time.Time {
jde := basic.TD2UT(basic.Date2JDE(date.UTC()), true) jde := basic.TD2UT(basic.Date2JDE(date.UTC()), true)
return basic.JDE2DateByZone(basic.LastVenusRetrogradeToPrograde(jde), date.Location(), false) return basic.JDE2DateByZone(basic.LastVenusRetrogradeToProgradeInclusive(jde), date.Location(), false)
} }
// NextRetrogradeToPrograde 下一次逆行转顺行留 / next station from retrograde to prograde. // NextRetrogradeToPrograde 下一次逆行转顺行留 / next station from retrograde to prograde.
// //
// 返回 date 之后最近一次由逆行转为顺行的留时刻，结果保持 date 的时区。 // 返回 date 当前或之后最近一次由逆行转为顺行的留时刻，结果保持 date 的时区。
// Returns the next stationary point where motion changes from retrograde to prograde relative to date, keeping date's time zone.
func NextRetrogradeToPrograde(date time.Time) time.Time { func NextRetrogradeToPrograde(date time.Time) time.Time {
jde := basic.TD2UT(basic.Date2JDE(date.UTC()), true) jde := basic.TD2UT(basic.Date2JDE(date.UTC()), true)
return basic.JDE2DateByZone(basic.NextVenusRetrogradeToPrograde(jde), date.Location(), false) return basic.JDE2DateByZone(basic.NextVenusRetrogradeToProgradeInclusive(jde), date.Location(), false)
} }
// LastGreatestElongation 上一次大距 / previous greatest elongation. // LastGreatestElongation 上一次大距 / previous greatest elongation.
// //
// 返回 date 之前最近一次大距时刻，不区分东西大距，结果保持 date 的时区。 // 返回 date 当前或之前最近一次大距时刻，不区分东西大距，结果保持 date 的时区。
// Returns the most recent greatest elongation relative to date without distinguishing east or west, keeping date's time zone.
func LastGreatestElongation(date time.Time) time.Time { func LastGreatestElongation(date time.Time) time.Time {
jde := basic.TD2UT(basic.Date2JDE(date.UTC()), true) jde := basic.TD2UT(basic.Date2JDE(date.UTC()), true)
return basic.JDE2DateByZone(basic.LastVenusGreatestElongation(jde), date.Location(), false) return basic.JDE2DateByZone(basic.LastVenusGreatestElongationInclusive(jde), date.Location(), false)
} }
// NextGreatestElongation 下一次大距 / next greatest elongation. // NextGreatestElongation 下一次大距 / next greatest elongation.
// //
// 返回 date 之后最近一次大距时刻，不区分东西大距，结果保持 date 的时区。 // 返回 date 当前或之后最近一次大距时刻，不区分东西大距，结果保持 date 的时区。
// Returns the next greatest elongation relative to date without distinguishing east or west, keeping date's time zone.
func NextGreatestElongation(date time.Time) time.Time { func NextGreatestElongation(date time.Time) time.Time {
jde := basic.TD2UT(basic.Date2JDE(date.UTC()), true) jde := basic.TD2UT(basic.Date2JDE(date.UTC()), true)
return basic.JDE2DateByZone(basic.NextVenusGreatestElongation(jde), date.Location(), false) return basic.JDE2DateByZone(basic.NextVenusGreatestElongationInclusive(jde), date.Location(), false)
} }
// LastGreatestElongationEast 上一次东大距 / previous greatest eastern elongation. // LastGreatestElongationEast 上一次东大距 / previous greatest eastern elongation.
// //
// 返回 date 之前最近一次东大距时刻，结果保持 date 的时区。 // 返回 date 当前或之前最近一次东大距时刻，结果保持 date 的时区。
// Returns the most recent greatest eastern elongation relative to date, keeping date's time zone.
func LastGreatestElongationEast(date time.Time) time.Time { func LastGreatestElongationEast(date time.Time) time.Time {
jde := basic.TD2UT(basic.Date2JDE(date.UTC()), true) jde := basic.TD2UT(basic.Date2JDE(date.UTC()), true)
return basic.JDE2DateByZone(basic.LastVenusGreatestElongationEast(jde), date.Location(), false) return basic.JDE2DateByZone(basic.LastVenusGreatestElongationEastInclusive(jde), date.Location(), false)
} }
// NextGreatestElongationEast 下一次东大距 / next greatest eastern elongation. // NextGreatestElongationEast 下一次东大距 / next greatest eastern elongation.
// //
// 返回 date 之后最近一次东大距时刻，结果保持 date 的时区。 // 返回 date 当前或之后最近一次东大距时刻，结果保持 date 的时区。
// Returns the next greatest eastern elongation relative to date, keeping date's time zone.
func NextGreatestElongationEast(date time.Time) time.Time { func NextGreatestElongationEast(date time.Time) time.Time {
jde := basic.TD2UT(basic.Date2JDE(date.UTC()), true) jde := basic.TD2UT(basic.Date2JDE(date.UTC()), true)
return basic.JDE2DateByZone(basic.NextVenusGreatestElongationEast(jde), date.Location(), false) return basic.JDE2DateByZone(basic.NextVenusGreatestElongationEastInclusive(jde), date.Location(), false)
} }
// LastGreatestElongationWest 上一次西大距 / previous greatest western elongation. // LastGreatestElongationWest 上一次西大距 / previous greatest western elongation.
// //
// 返回 date 之前最近一次西大距时刻，结果保持 date 的时区。 // 返回 date 当前或之前最近一次西大距时刻，结果保持 date 的时区。
// Returns the most recent greatest western elongation relative to date, keeping date's time zone.
func LastGreatestElongationWest(date time.Time) time.Time { func LastGreatestElongationWest(date time.Time) time.Time {
jde := basic.TD2UT(basic.Date2JDE(date.UTC()), true) jde := basic.TD2UT(basic.Date2JDE(date.UTC()), true)
return basic.JDE2DateByZone(basic.LastVenusGreatestElongationWest(jde), date.Location(), false) return basic.JDE2DateByZone(basic.LastVenusGreatestElongationWestInclusive(jde), date.Location(), false)
} }
// NextGreatestElongationWest 下一次西大距 / next greatest western elongation. // NextGreatestElongationWest 下一次西大距 / next greatest western elongation.
// //
// 返回 date 之后最近一次西大距时刻，结果保持 date 的时区。 // 返回 date 当前或之后最近一次西大距时刻，结果保持 date 的时区。
// Returns the next greatest western elongation relative to date, keeping date's time zone.
func NextGreatestElongationWest(date time.Time) time.Time { func NextGreatestElongationWest(date time.Time) time.Time {
jde := basic.TD2UT(basic.Date2JDE(date.UTC()), true) jde := basic.TD2UT(basic.Date2JDE(date.UTC()), true)
return basic.JDE2DateByZone(basic.NextVenusGreatestElongationWest(jde), date.Location(), false) return basic.JDE2DateByZone(basic.NextVenusGreatestElongationWestInclusive(jde), date.Location(), false)
} }