feat: 完善时标与天象几何计算并扩展输出接口
- 新增时标、ΔT 模型、质心时间与 UT1 支持 - 改进日月食、月掩、行星事件及路径边界计算 - 完善恒星三维自行与动态距离传播 - 扩展 SVG、GeoJSON、KML 输出与底层距离换算工具 - 整理中英文手册、示例资源及回归测试
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+2
-2
@@ -1,3 +1,3 @@
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// Package planet 用内置 VSOP87 截断级数求行星黄经、黄纬与日心距离；jd 为 TT 儒略日，角度单位为度，距离单位为 AU。
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// Package planet evaluates the built-in truncated VSOP87 series for planetary longitude, latitude and heliocentric distance; jd is a TT Julian day, angles are degrees and distances are AU.
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// Package planet 用内置 VSOP87 截断级数求行星黄经、黄纬与日心距离；jde 为 TT 儒略日，角度单位为度，距离单位为 AU。
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// Package planet evaluates the built-in truncated VSOP87 series for planetary longitude, latitude and heliocentric distance; jde is a TT Julian day, angles are degrees and distances are AU.
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package planet
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+34
-34
@@ -201,26 +201,26 @@ var lowMoonBTerms = []lowMoonTerm{
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{d: 2, m: -2, mp: 0, f: 1, amp: 107},
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}
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func MoonLo(JD float64) float64 { //'月球平黄经
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T := (JD - 2451545) / 36525
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func MoonLo(JDE float64) float64 { //'月球平黄经
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T := (JDE - 2451545) / 36525
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MoonLo := 218.3164591 + 481267.88134236*T - 0.0013268*T*T + T*T*T/538841 - T*T*T*T/65194000
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return MoonLo
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}
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func SunMoonAngle(JD float64) float64 { // '月日距角
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T := (JD - 2451545) / 36525
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func SunMoonAngle(JDE float64) float64 { // '月日距角
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T := (JDE - 2451545) / 36525
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SunMoonAngle := 297.8502042 + 445267.1115168*T - 0.00163*T*T + T*T*T/545868 - T*T*T*T/113065000
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return SunMoonAngle
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}
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func MoonM(JD float64) float64 { // '月平近点角
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T := (JD - 2451545) / 36525
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func MoonM(JDE float64) float64 { // '月平近点角
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T := (JDE - 2451545) / 36525
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MoonM := 134.9634114 + 477198.8676313*T + 0.008997*T*T + T*T*T/69699 - T*T*T*T/14712000
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return MoonM
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}
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func MoonLonX(JD float64) float64 { // As Double '月球经度参数(到升交点的平角距离)
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T := (JD - 2451545) / 36525
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func MoonLonX(JDE float64) float64 { // As Double '月球经度参数(到升交点的平角距离)
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T := (JDE - 2451545) / 36525
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MoonLonX := 93.2720993 + 483202.0175273*T - 0.0034029*T*T - T*T*T/3526000 + T*T*T*T/863310000
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return MoonLonX
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}
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@@ -237,12 +237,12 @@ func lowMoonTermValue(term lowMoonTerm, D, IsunM, IMoonM, F, E float64, trig fun
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}
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}
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func MoonI(JD float64) float64 {
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T := (JD - 2451545) / 36525
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D := Limit360(SunMoonAngle(JD))
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IsunM := SunM(JD)
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IMoonM := MoonM(JD)
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F := Limit360(MoonLonX(JD))
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func MoonI(JDE float64) float64 {
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T := (JDE - 2451545) / 36525
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D := Limit360(SunMoonAngle(JDE))
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IsunM := SunM(JDE)
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IMoonM := MoonM(JDE)
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F := Limit360(MoonLonX(JDE))
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E := 1 - 0.002516*T - 0.0000074*T*T
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A1 := 119.75 + 131.849*T
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A2 := Limit360(53.09 + 479264.29*T)
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@@ -250,16 +250,16 @@ func MoonI(JD float64) float64 {
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for _, term := range lowMoonITerms {
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MoonI += lowMoonTermValue(term, D, IsunM, IMoonM, F, E, Sin)
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}
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MoonI = MoonI + 3958*Sin(A1) + 1962*Sin(MoonLo(JD)-F) + 318*Sin(A2)
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MoonI = MoonI + 3958*Sin(A1) + 1962*Sin(MoonLo(JDE)-F) + 318*Sin(A2)
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return FR(MoonI)
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}
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func MoonR(JD float64) float64 {
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T := (JD - 2451545) / 36525
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D := SunMoonAngle(JD)
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IsunM := SunM(JD)
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IMoonM := Limit360(MoonM(JD))
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F := Limit360(MoonLonX(JD))
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func MoonR(JDE float64) float64 {
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T := (JDE - 2451545) / 36525
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D := SunMoonAngle(JDE)
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IsunM := SunM(JDE)
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IMoonM := Limit360(MoonM(JDE))
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F := Limit360(MoonLonX(JDE))
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E := 1 - 0.002516*T - 0.0000074*T*T
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var MoonR float64
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for _, term := range lowMoonRTerms {
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@@ -268,12 +268,12 @@ func MoonR(JD float64) float64 {
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return MoonR
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}
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func MoonB(JD float64) float64 {
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T := (JD - 2451545) / 36525
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D := Limit360(SunMoonAngle(JD))
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IsunM := Limit360(SunM(JD))
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IMoonM := Limit360(MoonM(JD))
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F := Limit360(MoonLonX(JD))
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func MoonB(JDE float64) float64 {
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T := (JDE - 2451545) / 36525
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D := Limit360(SunMoonAngle(JDE))
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IsunM := Limit360(SunM(JDE))
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IMoonM := Limit360(MoonM(JDE))
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F := Limit360(MoonLonX(JDE))
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E := 1 - 0.002516*T - 0.0000074*T*T
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A1 := Limit360(119.75 + 131.849*T)
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A3 := Limit360(313.45 + 481266.484*T)
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@@ -281,19 +281,19 @@ func MoonB(JD float64) float64 {
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for _, term := range lowMoonBTerms {
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MoonB += lowMoonTermValue(term, D, IsunM, IMoonM, F, E, Sin)
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}
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MoonB += -2235*Sin(MoonLo(JD)) + 382*Sin(A3) + 175*Sin(A1-F) + 175*Sin(A1+F) + 127*Sin(MoonLo(JD)-IMoonM) - 115*Sin(MoonLo(JD)+IMoonM)
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MoonB += -2235*Sin(MoonLo(JDE)) + 382*Sin(A3) + 175*Sin(A1-F) + 175*Sin(A1+F) + 127*Sin(MoonLo(JDE)-IMoonM) - 115*Sin(MoonLo(JDE)+IMoonM)
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return MoonB
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}
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func MoonTrueLo(JD float64) float64 {
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return Limit360(MoonLo(JD) + (MoonI(JD) / 1000000))
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func MoonTrueLo(JDE float64) float64 {
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return Limit360(MoonLo(JDE) + (MoonI(JDE) / 1000000))
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}
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func MoonTrueBo(JD float64) float64 {
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return MoonB(JD) / 1000000
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func MoonTrueBo(JDE float64) float64 {
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return MoonB(JDE) / 1000000
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}
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func MoonAway(JD float64) float64 { //'月地距离
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MoonAway := 385000.56 + MoonR(JD)/1000
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func MoonAway(JDE float64) float64 { //'月地距离
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MoonAway := 385000.56 + MoonR(JDE)/1000
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return MoonAway
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}
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+5
-5
@@ -5,21 +5,21 @@ import (
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"math"
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)
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// WherePlanet 天体 xt 在儒略日 jd 的 VSOP 结果 / VSOP result for body xt at Julian day jd.
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// WherePlanet 天体 xt 在儒略日 jde 的 VSOP 结果 / VSOP result for body xt at Julian day jde.
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//
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// xt 取 -1 或 0..7：0 为地球，1..7 依次为水星、金星、火星、木星、土星、天王星、海王星；-1 表示地球，zn 取 0 时给日心黄经。
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// zn 取 0 黄经、1 黄纬、2 日心距（AU）；xt 或 zn 越界返回 NaN 而不 panic。
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// xt is -1 or 0..7 (0 Earth, 1..7 Mercury through Neptune; -1 selects Earth, giving its heliocentric longitude for zn 0).
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// zn is 0 longitude, 1 latitude, 2 heliocentric distance in AU; an out-of-range xt or zn yields NaN instead of panicking.
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func WherePlanet(xt, zn int, jd float64) float64 {
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return WherePlanetN(xt, zn, jd, -1)
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func WherePlanet(xt, zn int, jde float64) float64 {
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return WherePlanetN(xt, zn, jde, -1)
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}
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// WherePlanetN 同 WherePlanet 的截断版 / truncated form of WherePlanet.
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//
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// n < 0 时使用全部项；否则保留约 n 个主项并按比例缩短高阶项。取值域与越界行为同 WherePlanet。
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// When n < 0 all terms are used; otherwise roughly n principal terms are kept and higher orders scaled proportionally. Domain and out-of-range behavior match WherePlanet.
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func WherePlanetN(xt, zn int, jd float64, n int) float64 {
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func WherePlanetN(xt, zn int, jde float64, n int) float64 {
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if xt < -1 || xt > 7 || zn < 0 || zn > 2 {
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return math.NaN()
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}
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@@ -31,7 +31,7 @@ func WherePlanetN(xt, zn int, jd float64, n int) float64 {
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}
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rad := 180.0000 * 3600.0000 / math.Pi
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t := (jd - 2451545) / 36525.0000
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t := (jde - 2451545) / 36525.0000
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t /= 10 // 转为儒略千年数
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body := planetViews()[xt]
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+20
-20
@@ -3,51 +3,51 @@ package planet
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import . "b612.me/astro/tools"
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// SunLo 太阳几何黄经
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func SunLo(jd float64) float64 {
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T := (jd - 2451545) / 365250
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func SunLo(jde float64) float64 {
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T := (jde - 2451545) / 365250
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SunLo := 280.4664567 + 360007.6982779*T + 0.03032028*T*T + T*T*T/49931 - T*T*T*T/15299 - T*T*T*T*T/1988000
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return Limit360(SunLo)
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}
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func SunM(JD float64) float64 {
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T := (JD - 2451545) / 36525
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func SunM(JDE float64) float64 {
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T := (JDE - 2451545) / 36525
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sunM := 357.5291092 + 35999.0502909*T - 0.0001559*T*T - 0.00000048*T*T*T
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return Limit360(sunM)
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}
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// Earthe 地球偏心率
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func Earthe(JD float64) float64 {
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T := (JD - 2451545) / 36525
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func Earthe(JDE float64) float64 {
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T := (JDE - 2451545) / 36525
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Earthe := 0.016708617 - 0.000042037*T - 0.0000001236*T*T
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return Earthe
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}
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func EarthPI(JD float64) float64 {
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T := (JD - 2451545) / 36525
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func EarthPI(JDE float64) float64 {
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T := (JDE - 2451545) / 36525
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return 102.93735 + 1.71953*T + 0.00046*T*T
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}
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func SunMidFun(JD float64) float64 {
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T := (JD - 2451545) / 36525
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M := SunM(JD)
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func SunMidFun(JDE float64) float64 {
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T := (JDE - 2451545) / 36525
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M := SunM(JDE)
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SunMidFun := (1.9146-0.004817*T-0.000014*T*T)*Sin(M) + (0.019993-0.000101*T)*Sin(2*M) + 0.00029*Sin(3*M)
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return SunMidFun
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}
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func SunTrueLo(JD float64) float64 {
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SunTrueLo := SunLo(JD) + SunMidFun(JD)
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func SunTrueLo(JDE float64) float64 {
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SunTrueLo := SunLo(JDE) + SunMidFun(JDE)
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return SunTrueLo
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}
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func SunApparentLo(JD float64) float64 {
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T := (JD - 2451545) / 36525
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SunApparentLo := SunTrueLo(JD) - 0.00569 - 0.00478*Sin(125.04-1934.136*T)
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func SunApparentLo(JDE float64) float64 {
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T := (JDE - 2451545) / 36525
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SunApparentLo := SunTrueLo(JDE) - 0.00569 - 0.00478*Sin(125.04-1934.136*T)
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return SunApparentLo
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}
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func Distance(jd float64) float64 {
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f := SunMidFun(jd)
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m := SunM(jd)
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e := Earthe(jd)
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func Distance(jde float64) float64 {
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f := SunMidFun(jde)
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m := SunM(jde)
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e := Earthe(jde)
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return 1.000001018 * (1 - e*e) / (1 + e*Cos(f+m))
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}
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