starainrt
3ffdbe0034
- 新增日食、月食、本地可见性、中心线、半影区域、SVG 图示与沙罗周期信息 - 新增行星冲合、留、方照、物理星历、视直径、相位、亮肢角、轨道节点等计算 - 新增木星伽利略卫星位置、现象与接触事件计算 - 新增恒星星表、星座判定、自行修正与观测辅助能力 - 新增 coord、formula、orbit、sundial、lite/sun、lite/moon 等扩展包 - 完善农历年号、月相英文别名、视差角、大气质量、折射、日晷与双星计算 - 增加 NASA、JPL Horizons、IMCCE 等回归测试数据与基线测试 - 重构基础算法文件组织，补充大量公开 API 注释和语义回归测试 - 更新中文和英文 README，补充示例、精度说明、SVG 配图
210 lines
7.3 KiB
Go
210 lines
7.3 KiB
Go
package basic
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import (
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"math"
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. "b612.me/astro/tools"
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)
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func MoonPhase(jd float64) float64 {
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moonBo := HMoonTrueBo(jd)
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sunLo := HSunApparentLo(jd)
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moonLo := HMoonApparentLo(jd)
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tmp := Cos(moonBo) * Cos(sunLo-moonLo)
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earthSunDistance := Distance(jd) * 149597870.691
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i := earthSunDistance * Sin(ArcCos(tmp)) / (HMoonAway(jd) - earthSunDistance*tmp)
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i = ArcTan(i)
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if i < 0 {
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i += 180
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}
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if i > 180 {
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i -= 180
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}
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k := (1 + Cos(i)) / 2
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return k
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}
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func SunMoonSeek(jde float64, degree float64) float64 {
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p := HMoonApparentLo(jde) - (HSunApparentLo(jde)) - degree
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for p < -180 {
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p += 360
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}
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for p > 180 {
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p -= 360
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}
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return p
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}
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func CalcMoonSHByJDE(jde float64, phaseType int) float64 {
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phaseType = phaseType * 180
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estimateJD := jde
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for {
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prevJD := estimateJD
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stDegree := SunMoonSeek(prevJD, float64(phaseType))
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stDegreep := (SunMoonSeek(prevJD+0.000005, float64(phaseType)) - SunMoonSeek(prevJD-0.000005, float64(phaseType))) / 0.00001
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estimateJD = prevJD - stDegree/stDegreep
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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 CalcMoonSH(year float64, phaseType int) float64 {
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jde := CalcMoonS(year, phaseType)
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phaseType = phaseType * 180
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estimateJD := jde
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for {
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prevJD := estimateJD
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stDegree := SunMoonSeek(prevJD, float64(phaseType))
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stDegreep := (SunMoonSeek(prevJD+0.000005, float64(phaseType)) - SunMoonSeek(prevJD-0.000005, float64(phaseType))) / 0.00001
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estimateJD = prevJD - stDegree/stDegreep
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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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/*
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* C=0朔月时刻 =1 望月
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*/
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func CalcMoonS(year float64, phaseType int) float64 {
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k := math.Floor((year - 2000) * 12.36827)
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if phaseType == 1 {
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k += 0.5
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}
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T := k / 1236.85
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jde := 2451550.09765 + 29.530588853*k + 0.0001337*T*T - 0.000000150*T*T*T + 0.00000000073*T*T*T*T
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//太阳平近点角：
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M := Limit360(2.5534 + 29.10535669*k - 0.0000218*T*T - 0.00000011*T*T*T)
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//月亮的平近点角：
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N := Limit360(201.5643 + 385.81693528*k + 0.0107438*T*T + 0.00001239*T*T*T - 0.000000058*T*T*T*T)
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//月亮的纬度参数：
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F := Limit360(160.7108 + 390.67050274*k - 0.0016341*T*T - 0.00000227*T*T*T + 0.000000011*T*T*T*T)
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//月亮轨道升交点经度：
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O := Limit360(124.7746 - 1.56375580*k + 0.0020691*T*T + 0.00000215*T*T*T)
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E := 1 - 0.002516*T - 0.0000074*T*T
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//die(E." ".M." ".N." ".F." ".O);
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angles := []float64{N, M, 2 * N, 2 * F, N - M, N + M, 2 * M, N - 2*F, N + 2*F, 2*N + M, 3 * N, M + 2*F, M - 2*F, 2*N - M, O, N + 2*M, 2*N - 2*F, 3 * M, N + M - 2*F, 2*N + 2*F, N + M + 2*F, N - M + 2*F, N - M - 2*F, 3*N + M, 4 * N}
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var coeffs []float64
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if phaseType == 0 {
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coeffs = []float64{-0.40720, 0.17241 * E, 0.01608, 0.01039, 0.00739 * E, -0.00514 * E, 0.00208 * E * E, -0.00111, -0.00057, 0.00056 * E, -0.00042, 0.00042 * E, 0.00038 * E, -0.00024 * E, -0.00017, -0.00007, 0.00004, 0.00004, 0.00003, 0.00003, -0.00003, 0.00003, -0.00002, -0.00002, 0.00002}
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} else {
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coeffs = []float64{-0.40614, 0.17302 * E, 0.01614, 0.01043, 0.00734 * E, -0.00515 * E, 0.00209 * E * E, -0.00111, -0.00057, 0.00056 * E, -0.00042, 0.00042 * E, 0.00038 * E, -0.00024 * E, -0.00017, -0.00007, 0.00004, 0.00004, 0.00003, 0.00003, -0.00003, 0.00003, -0.00002, -0.00002, 0.00002}
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}
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var correction float64
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for idx, angle := range angles {
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correction += Sin(angle) * coeffs[idx]
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}
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//die(tmp);
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A1 := 299.77 + 0.107408*k - 0.009173*T*T
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A2 := 251.88 + 0.016321*k
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A3 := 251.83 + 26.651886*k
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A4 := 349.42 + 36.412478*k
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A5 := 84.66 + 18.206239*k
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A6 := 141.74 + 53.303771*k
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A7 := 207.14 + 2.453732*k
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A8 := 154.84 + 7.306860*k
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A9 := 34.52 + 27.261239*k
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A10 := 207.19 + 0.121824*k
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A11 := 291.34 + 1.844379*k
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A12 := 161.72 + 24.198154*k
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A13 := 239.56 + 25.513099*k
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A14 := 331.55 + 3.592518*k
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planetaryCorrection := 325*Sin(A1) + 165*Sin(A2) + 164*Sin(A3) + 126*Sin(A4) + 110*Sin(A5) + 62*Sin(A6) + 60*Sin(A7) + 56*Sin(A8) + 47*Sin(A9) + 42*Sin(A10) + 40*Sin(A11) + 37*Sin(A12) + 35*Sin(A13) + 23*Sin(A14)
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planetaryCorrection /= 1000000
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jde = jde + planetaryCorrection + correction
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return jde
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}
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func CalcMoonXHByJDE(jde float64, quarterType int) float64 {
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if quarterType == 0 {
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quarterType = 90
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} else {
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quarterType = -90
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}
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estimateJD := jde
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for {
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prevJD := estimateJD
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stDegree := SunMoonSeek(prevJD, float64(quarterType))
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stDegreep := (SunMoonSeek(prevJD+0.000005, float64(quarterType)) - SunMoonSeek(prevJD-0.000005, float64(quarterType))) / 0.00001
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estimateJD = prevJD - stDegree/stDegreep
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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 CalcMoonXH(year float64, quarterType int) float64 {
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jde := CalcMoonX(year, quarterType)
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if quarterType == 0 {
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quarterType = 90
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} else {
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quarterType = -90
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}
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estimateJD := jde
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for {
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prevJD := estimateJD
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stDegree := SunMoonSeek(prevJD, float64(quarterType))
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stDegreep := (SunMoonSeek(prevJD+0.000005, float64(quarterType)) - SunMoonSeek(prevJD-0.000005, float64(quarterType))) / 0.00001
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estimateJD = prevJD - stDegree/stDegreep
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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 CalcMoonX(year float64, quarterType int) float64 {
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k := math.Floor((year-2000)*12.36827) + 0.25
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if quarterType == 1 {
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k += 0.5
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}
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T := k / 1236.85
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jde := 2451550.09765 + 29.530588853*k + 0.0001337*T*T - 0.000000150*T*T*T + 0.00000000073*T*T*T*T
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//太阳平近点角：
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M := Limit360(2.5534 + 29.10535669*k - 0.0000218*T*T - 0.00000011*T*T*T)
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//月亮的平近点角：
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N := Limit360(201.5643 + 385.81693528*k + 0.0107438*T*T + 0.00001239*T*T*T - 0.000000058*T*T*T*T)
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//月亮的纬度参数：
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F := Limit360(160.7108 + 390.67050274*k - 0.0016341*T*T - 0.00000227*T*T*T + 0.000000011*T*T*T*T)
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//月亮轨道升交点经度：
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O := Limit360(124.7746 - 1.56375580*k + 0.0020691*T*T + 0.00000215*T*T*T)
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E := 1 - 0.002516*T - 0.0000074*T*T
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//die(E." ".M." ".N." ".F." ".O);
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ZQ := []float64{N, M, N + M, 2 * N, 2 * F, N - M, 2 * M, N - 2*F, N + 2*F, 3 * N, 2*N - M, M + 2*F, M - 2*F, N + 2*M, 2*N + M, O, N - M - 2*F, 2*N + 2*F, N + M + 2*F, N - 2*F, N + M - 2*F, 3 * M, 2*N - 2*F, N - M + 2*F, M + 3*N}
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MN := []float64{-0.62801, 0.17172 * E, -0.01183 * E, 0.00862, 0.00804, 0.00454 * E, 0.00204 * E * E, -0.00180, -0.00070, -0.00040, -0.00034 * E, 0.00032 * E, 0.00032 * E, -0.00028 * E * E, 0.00027 * E, -0.00017, -0.00005, 0.00004, -0.00004, 0.00004, 0.00003, 0.00003, 0.00002, 0.00002, -0.00002}
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var correction float64
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for idx, angle := range ZQ {
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correction += Sin(angle) * MN[idx]
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}
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W := 0.00306 - 0.00038*E*Cos(M) + 0.00026*Cos(N) - 0.00002*Cos(N-M) + 0.00002*Cos(N+M) + 0.00002*Cos(2*F)
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A1 := 299.77 + 0.107408*k - 0.009173*T*T
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A2 := 251.88 + 0.016321*k
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A3 := 251.83 + 26.651886*k
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A4 := 349.42 + 36.412478*k
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A5 := 84.66 + 18.206239*k
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A6 := 141.74 + 53.303771*k
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A7 := 207.14 + 2.453732*k
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A8 := 154.84 + 7.306860*k
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A9 := 34.52 + 27.261239*k
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A10 := 207.19 + 0.121824*k
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A11 := 291.34 + 1.844379*k
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A12 := 161.72 + 24.198154*k
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A13 := 239.56 + 25.513099*k
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A14 := 331.55 + 3.592518*k
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planetaryCorrection := 325*Sin(A1) + 165*Sin(A2) + 164*Sin(A3) + 126*Sin(A4) + 110*Sin(A5) + 62*Sin(A6) + 60*Sin(A7) + 56*Sin(A8) + 47*Sin(A9) + 42*Sin(A10) + 40*Sin(A11) + 37*Sin(A12) + 35*Sin(A13) + 23*Sin(A14)
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planetaryCorrection /= 1000000
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//die(tmp2);
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//die(JDE." ".tmp." ".tmp2." ".W);
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jde = jde + planetaryCorrection + correction
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if quarterType == 0 {
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jde += W
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} else {
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jde -= W
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}
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return jde
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}
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