starainrt
34ff6a36ae
- 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
209 lines
5.9 KiB
Go
209 lines
5.9 KiB
Go
package basic
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import (
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"math"
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"b612.me/astro/planet"
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. "b612.me/astro/tools"
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)
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func MarsL(jd float64) float64 {
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return planet.WherePlanet(3, 0, jd)
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}
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func MarsB(jd float64) float64 {
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return planet.WherePlanet(3, 1, jd)
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}
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func MarsR(jd float64) float64 {
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return planet.WherePlanet(3, 2, jd)
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}
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func AMarsX(jd float64) float64 {
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l := MarsL(jd)
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b := MarsB(jd)
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r := MarsR(jd)
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el := planet.WherePlanet(-1, 0, jd)
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eb := planet.WherePlanet(-1, 1, jd)
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er := planet.WherePlanet(-1, 2, jd)
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x := r*Cos(b)*Cos(l) - er*Cos(eb)*Cos(el)
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return x
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}
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func AMarsY(jd float64) float64 {
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l := MarsL(jd)
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b := MarsB(jd)
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r := MarsR(jd)
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el := planet.WherePlanet(-1, 0, jd)
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eb := planet.WherePlanet(-1, 1, jd)
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er := planet.WherePlanet(-1, 2, jd)
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y := r*Cos(b)*Sin(l) - er*Cos(eb)*Sin(el)
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return y
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}
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func AMarsZ(jd float64) float64 {
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//l := MarsL(jd)
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b := MarsB(jd)
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r := MarsR(jd)
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// el := planet.WherePlanet(-1, 0, jd)
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eb := planet.WherePlanet(-1, 1, jd)
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er := planet.WherePlanet(-1, 2, jd)
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z := r*Sin(b) - er*Sin(eb)
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return z
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}
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func AMarsXYZ(jd float64) (float64, float64, float64) {
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l := MarsL(jd)
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b := MarsB(jd)
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r := MarsR(jd)
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el := planet.WherePlanet(-1, 0, jd)
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eb := planet.WherePlanet(-1, 1, jd)
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er := planet.WherePlanet(-1, 2, jd)
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x := r*Cos(b)*Cos(l) - er*Cos(eb)*Cos(el)
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y := r*Cos(b)*Sin(l) - er*Cos(eb)*Sin(el)
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z := r*Sin(b) - er*Sin(eb)
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return x, y, z
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}
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func MarsApparentRa(jd float64) float64 {
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lo, bo := MarsApparentLoBo(jd)
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eps := TrueObliquity(jd)
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ra := math.Atan2((Sin(lo)*Cos(eps) - Tan(bo)*Sin(eps)), Cos(lo))
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ra = ra * 180 / math.Pi
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return Limit360(ra)
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}
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func MarsApparentDec(jd float64) float64 {
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lo, bo := MarsApparentLoBo(jd)
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eps := TrueObliquity(jd)
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dec := ArcSin(Sin(bo)*Cos(eps) + Cos(bo)*Sin(eps)*Sin(lo))
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return dec
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}
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func MarsApparentRaDec(jd float64) (float64, float64) {
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lo, bo := MarsApparentLoBo(jd)
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eps := TrueObliquity(jd)
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ra := math.Atan2((Sin(lo)*Cos(eps) - Tan(bo)*Sin(eps)), Cos(lo))
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ra = ra * 180 / math.Pi
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dec := ArcSin(Sin(bo)*Cos(eps) + Cos(bo)*Sin(eps)*Sin(lo))
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return Limit360(ra), dec
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}
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func EarthMarsAway(jd float64) float64 {
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return planetEarthAwayExplicitN(3, jd, -1)
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}
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func MarsApparentLo(jd float64) float64 {
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geo, _ := planetApparentGeocentricPositionN(3, jd, -1)
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return geo.lo
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}
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func MarsApparentBo(jd float64) float64 {
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geo, _ := planetApparentGeocentricPositionN(3, jd, -1)
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return geo.bo
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}
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func MarsApparentLoBo(jd float64) (float64, float64) {
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geo, _ := planetApparentGeocentricPositionN(3, jd, -1)
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return geo.lo, geo.bo
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}
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func MarsTrueLoBo(jd float64) (float64, float64) {
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geo, _ := planetTrueGeocentricPositionN(3, jd, -1)
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return geo.lo, geo.bo
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}
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func MarsTrueLo(jd float64) float64 {
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geo, _ := planetTrueGeocentricPositionN(3, jd, -1)
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return geo.lo
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}
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func MarsMag(jd float64) float64 {
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sunDistance := MarsR(jd)
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earthDistance := EarthMarsAway(jd)
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earthSunDistance := planet.WherePlanet(-1, 2, jd)
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i := (sunDistance*sunDistance + earthDistance*earthDistance - earthSunDistance*earthSunDistance) / (2 * sunDistance * earthDistance)
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i = ArcCos(i)
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mag := -1.52 + 5*math.Log10(sunDistance*earthDistance) + 0.016*i
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return FloatRound(mag, 2)
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}
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func MarsHeight(jde, lon, lat, timezone float64) float64 {
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// 转换为世界时
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utcJde := jde - timezone/24.0
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// 计算视恒星时
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ra, dec := MarsApparentRaDec(TD2UT(utcJde, true))
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st := Limit360(ApparentSiderealTime(utcJde)*15 + lon)
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// 计算时角
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hourAngle := Limit360(st - ra)
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// 高度角、时角与天球座标三角转换公式
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// sin(h)=sin(lat)*sin(dec)+cos(dec)*cos(lat)*cos(hourAngle)
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sinHeight := Sin(lat)*Sin(dec) + Cos(dec)*Cos(lat)*Cos(hourAngle)
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return ArcSin(sinHeight)
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}
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func MarsAzimuth(jde, lon, lat, timezone float64) float64 {
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// 转换为世界时
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utcJde := jde - timezone/24.0
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// 计算视恒星时
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ra, dec := MarsApparentRaDec(TD2UT(utcJde, true))
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st := Limit360(ApparentSiderealTime(utcJde)*15 + lon)
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// 计算时角
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hourAngle := Limit360(st - ra)
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// 三角转换公式
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tanAzimuth := Sin(hourAngle) / (Cos(hourAngle)*Sin(lat) - Tan(dec)*Cos(lat))
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azimuth := ArcTan(tanAzimuth)
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if azimuth < 0 {
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if hourAngle/15 < 12 {
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return azimuth + 360
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}
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return azimuth + 180
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}
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if hourAngle/15 < 12 {
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return azimuth + 180
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}
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return azimuth
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}
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func MarsHourAngle(jd, lon, timezone float64) float64 {
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siderealLongitude := Limit360(ApparentSiderealTime(jd-timezone/24)*15 + lon)
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hourAngle := siderealLongitude - MarsApparentRa(TD2UT(jd-timezone/24.0, true))
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if hourAngle < 0 {
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hourAngle += 360
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}
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return hourAngle
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}
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func MarsCulminationTime(jde, lon, timezone float64) float64 {
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//jde 世界时，非力学时，当地时区 0时，无需转换力学时
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//ra,dec 瞬时天球座标，非J2000等时间天球坐标
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jde = math.Floor(jde) + 0.5
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estimateJD := jde + Limit360(360-MarsHourAngle(jde, lon, timezone))/15.0/24.0*0.99726851851851851851
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normalizedHourAngle := func(jde, lon, timezone float64) float64 {
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currentHourAngle := MarsHourAngle(jde, lon, timezone)
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if currentHourAngle < 180 {
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currentHourAngle += 360
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}
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return currentHourAngle
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}
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for {
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prevJD := estimateJD
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hourAngleDelta := normalizedHourAngle(prevJD, lon, timezone) - 360
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hourAngleSlope := (normalizedHourAngle(prevJD+0.000005, lon, timezone) - normalizedHourAngle(prevJD-0.000005, lon, timezone)) / 0.00001
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estimateJD = prevJD - hourAngleDelta/hourAngleSlope
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if math.Abs(estimateJD-prevJD) <= 0.00001 {
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break
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}
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}
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return estimateJD
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}
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func MarsRiseTime(jd, lon, lat, timezone, aeroCorrection, observerHeight float64) (float64, error) {
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return marsRiseDown(jd, lon, lat, timezone, aeroCorrection, observerHeight, true)
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}
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func MarsSetTime(jd, lon, lat, timezone, aeroCorrection, observerHeight float64) (float64, error) {
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return marsRiseDown(jd, lon, lat, timezone, aeroCorrection, observerHeight, false)
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}
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func marsRiseDown(jd, lon, lat, timezone, aeroCorrection, observerHeight float64, isRise bool) (float64, error) {
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return planetRiseDown(jd, lon, lat, timezone, aeroCorrection, observerHeight, isRise, MarsCulminationTime, MarsHeight, MarsApparentDec)
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}
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