641 lines
17 KiB
Go
641 lines
17 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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// 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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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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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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/*
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@name 地球偏心率
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*/
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func Earthe(JD float64) float64 { //'地球偏心率
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T := (JD - 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 { //近日點經度
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T := (JD - 2451545) / 36525
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return 102.93735 + 1.71953*T + 000046*T*T
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}
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func SunMidFun(JD float64) float64 { //'太阳中间方程
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T := (JD - 2451545) / 36525
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M := SunM(JD)
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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 { // '太阳真黄经
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SunTrueLo := SunLo(JD) + SunMidFun(JD)
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return SunTrueLo
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}
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func SunApparentLo(JD float64) float64 { //'太阳视黄经
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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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return SunApparentLo
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}
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func SunApparentRa(JD float64) float64 { // '太阳视赤经
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return LoToRa(JD, SunApparentLo(JD), 0)
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}
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func SunApparentRaDec(JD float64) (float64, float64) {
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return LoBoToRaDec(JD, SunApparentLo(JD), 0)
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}
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func SunTrueRa(JD float64) float64 { //'太阳真赤经
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sitas := Sita(JD)
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sunTrueRa := ArcTan(Cos(sitas) * Sin(SunTrueLo(JD)) / Cos(SunTrueLo(JD)))
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//Select Case SunTrueLo(JD)
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tmp := SunTrueLo(JD)
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if tmp >= 90 && tmp < 180 {
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sunTrueRa = 180 + sunTrueRa
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} else if tmp >= 180 && tmp < 270 {
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sunTrueRa = 180 + sunTrueRa
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} else if tmp >= 270 && tmp <= 360 {
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sunTrueRa = 360 + sunTrueRa
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}
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return sunTrueRa
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}
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func SunApparentDec(JD float64) float64 { // '太阳视赤纬
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T := (JD - 2451545) / 36525
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sitas := Sita(JD) + 0.00256*Cos(125.04-1934.136*T)
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SunApparentDec := ArcSin(Sin(sitas) * Sin(SunApparentLo(JD)))
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return SunApparentDec
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}
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func SunTrueDec(JD float64) float64 { // '太阳真赤纬
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sitas := Sita(JD)
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SunTrueDec := ArcSin(Sin(sitas) * Sin(SunTrueLo(JD)))
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return SunTrueDec
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}
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func SunTime(JD float64) float64 { //均时差
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tm := (SunLo(JD) - 0.0057183 - (HSunApparentRa(JD)) + (Nutation2000Bi(JD))*Cos(Sita(JD))) / 15
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if tm > 23 {
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tm = -24 + tm
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}
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return tm
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}
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func SunSC(Lo, JD float64) float64 { //黄道上的岁差，仅黄纬=0时
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t := (JD - 2451545) / 36525
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//n := 47.0029/3600*t - 0.03302/3600*t*t + 0.000060/3600*t*t*t
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//m := 174.876384/3600 - 869.8089/3600*t + 0.03536/3600*t*t
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pk := 5029.0966/3600.00*t + 1.11113/3600.00*t*t - 0.000006/3600.00*t*t*t
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return Lo + pk
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}
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// 高精度，使用VSOP87
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func HSunTrueLo(JD float64) float64 {
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L := planet.WherePlanet(0, 0, JD)
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return L
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}
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func HSunTrueBo(JD float64) float64 {
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L := planet.WherePlanet(0, 1, JD)
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return L
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}
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func HSunApparentLo(JD float64) float64 {
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L := HSunTrueLo(JD)
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L = L + Nutation2000Bi(JD) + SunLoGXC(JD)
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return L
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}
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func SunLoGXC(JD float64) float64 {
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R := planet.WherePlanet(0, 2, JD)
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return -20.49552 / R / 3600
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}
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func EarthAway(JD float64) float64 {
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//t=(JD - 2451545) / 365250;
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//R=Earth_R5(t)+Earth_R4(t)+Earth_R3(t)+Earth_R2(t)+Earth_R1(t)+Earth_R0(t);
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return planet.WherePlanet(0, 2, JD)
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}
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func HSunApparentRaDec(JD float64) (float64, float64) {
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return LoBoToRaDec(JD, HSunApparentLo(JD), HSunTrueBo(JD))
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}
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func HSunApparentRa(JD float64) float64 { // '太阳视赤经
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return LoToRa(JD, HSunApparentLo(JD), HSunTrueBo(JD))
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}
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func HSunTrueRa(JD float64) float64 {
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tmp := HSunTrueLo(JD)
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sitas := Sita(JD)
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numerator := Cos(sitas) * Sin(tmp)
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denominator := Cos(tmp)
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return ArcTan2(numerator, denominator)
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}
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func HSunApparentDec(JD float64) float64 { // '太阳视赤纬
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return ArcSin(Sin(EclipticObliquity(JD, true)) * Sin(HSunApparentLo(JD)))
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}
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func HSunTrueDec(JD float64) float64 { // '太阳真赤纬
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return ArcSin(Sin(EclipticObliquity(JD, false)) * Sin(HSunTrueLo(JD)))
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}
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func Distance(jd float64) float64 { //ri di ju li
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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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return (1.000001018 * (1 - e*e) / (1 + e*Cos(f+m)))
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}
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func GetMoonLoops(year float64, loop int) []float64 {
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var start float64
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var newMoon, tmp float64
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moon := make([]float64, loop)
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if year < 6000 {
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start = year + 11.00/12.00 + 5.00/30.00/12.00
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} else {
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start = year + 9.00/12.00 + 5.00/30.00/12.00
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}
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i := 1
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for j := 0; j < loop; j++ {
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if year > 3000 {
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newMoon = TD2UT(CalcMoonSH(start+float64(i-1)/12.5, 0)+8.0/24.0, false)
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} else {
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newMoon = TD2UT(CalcMoonS(start+float64(i-1)/12.5, 0)+8.0/24.0, false)
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}
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if i != 1 {
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if newMoon == tmp {
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j--
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i++
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continue
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}
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}
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moon[j] = newMoon
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tmp = moon[j]
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i++
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}
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return moon
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}
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func GetJieqiLoops(year, loop int) []float64 {
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start := 270
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jq := make([]float64, loop)
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for i := 1; i <= loop; i++ {
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angle := start + 15*(i-1)
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if angle > 360 {
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angle -= 360
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}
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jq[i-1] = GetJQTime(year+int(math.Ceil(float64(i-1)/24.000)), angle) + 8.0/24.0
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}
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return jq
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}
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func GetJQTime(year, angle int) float64 {
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// Calculate initial day based on angle parity
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var initialDay float64
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if angle%2 == 0 {
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initialDay = 18
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} else {
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initialDay = 3
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}
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// Calculate temporary factor for month offset
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var tempFactor float64
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if angle%10 != 0 {
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tempFactor = float64(angle+15) / 30.0
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} else {
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tempFactor = float64(angle) / 30.0
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}
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// Calculate initial month, adjusting if超过 12
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initialMonth := 3.0 + tempFactor
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if initialMonth > 12.0 {
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initialMonth -= 12.0
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}
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// Calculate initial Julian date
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initialJD := JDECalc(year, int(initialMonth), initialDay)
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// Set target angle for iteration; if angle is 0, use 360
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targetAngle := float64(angle)
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if angle == 0 {
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targetAngle = 360.0
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}
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// Newton-Raphson iteration to find precise Julian date
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currentJD := initialJD
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for {
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previousJD := currentJD
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errorValue := JQLospec(previousJD, targetAngle) - targetAngle
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derivative := (JQLospec(previousJD+0.000005, targetAngle) - JQLospec(previousJD-0.000005, targetAngle)) / 0.00001
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currentJD = previousJD - errorValue/derivative
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// Check for convergence
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if math.Abs(currentJD-previousJD) <= 0.00001 {
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break
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}
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}
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// Convert to UT and return
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return TD2UT(currentJD, false)
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}
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func JQLospec(JD float64, target float64) float64 {
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t := HSunApparentLo(JD)
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if target >= 345 {
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if t <= 12 {
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t += 360
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}
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} else if target <= 15 {
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if t >= 350 {
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t -= 360
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}
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}
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return t
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}
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func GetXC(jd float64) string { //十二次
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tlo := HSunApparentLo(jd)
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if tlo >= 255 && tlo < 285 {
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return "星纪"
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} else if tlo >= 285 && tlo < 315 {
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return "玄枵"
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} else if tlo >= 315 && tlo < 345 {
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return "娵訾"
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} else if tlo >= 345 || tlo < 15 {
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return "降娄"
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} else if tlo >= 15 && tlo < 45 {
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return "大梁"
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} else if tlo >= 45 && tlo < 75 {
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return "实沈"
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} else if tlo >= 75 && tlo < 105 {
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return "鹑首"
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} else if tlo >= 105 && tlo < 135 {
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return "鹑火"
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} else if tlo >= 135 && tlo < 165 {
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return "鹑尾"
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} else if tlo >= 165 && tlo < 195 {
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return "寿星"
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} else if tlo >= 195 && tlo < 225 {
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return "大火"
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} else if tlo >= 225 && tlo < 255 {
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return "析木"
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}
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return ""
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}
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func GetWHTime(Year, Angle int) float64 {
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tmp := Angle
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var Day int
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var tp float64
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Angle = int(Angle/15) * 15
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if Angle%2 == 0 {
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Day = 18
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} else {
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Day = 3
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}
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if Angle%10 != 0 {
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tp = float64(Angle+15) / 30.0
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} else {
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tp = float64(Angle) / 30.0
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}
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Month := int(3 + tp)
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if Month > 12 {
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Month -= 12
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}
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JD1 := JDECalc(Year, Month, float64(Day))
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JD1 += float64(tmp - Angle)
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Angle = tmp
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if Angle <= 5 {
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Angle = 360 + Angle
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}
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for {
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JD0 := JD1
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stDegree := JQLospec(JD0, float64(Angle)) - float64(Angle)
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stDegreep := (JQLospec(JD0+0.000005, float64(Angle)) - JQLospec(JD0-0.000005, float64(Angle))) / 0.00001
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JD1 = JD0 - stDegree/stDegreep
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if math.Abs(JD1-JD0) <= 0.00001 {
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break
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}
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}
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return TD2UT(JD1, false)
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}
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// 太阳中天时刻，通过均时差计算
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func CulminationTime(JD, Lon, TZ float64) float64 { //实际中天时间
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JD = math.Floor(JD)
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tmp := (TZ*15 - Lon) * 4 / 60
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return JD + tmp/24.0 - SunTime(JD)/24.0
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}
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/*
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* 昏朦影传入 当天0时时刻
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*/
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func EveningTwilight(JD, Lon, Lat, TZ, An float64) float64 {
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JD = math.Floor(JD) + 1.5
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ntz := math.Round(Lon / 15)
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culminationTime := CulminationTime(JD, Lon, ntz)
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if SunHeight(culminationTime, Lon, Lat, ntz) < An {
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return -2 //极夜
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}
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if SunHeight(culminationTime+0.5, Lon, Lat, ntz) > An {
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return -1 //极昼
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}
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tmp := (Sin(An) - Sin(HSunApparentDec(culminationTime))*Sin(Lat)) / (Cos(HSunApparentDec(culminationTime)) * Cos(Lat))
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var sundown float64
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if math.Abs(tmp) <= 1 && Lat < 85 {
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rzsc := ArcCos(tmp) / 15
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sundown = culminationTime + rzsc/24.0 + 35.0/24.0/60.0
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} else {
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sundown = culminationTime
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i := 0
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for LowSunHeight(sundown, Lon, Lat, ntz) > An {
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i++
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sundown += 15.0 / 60.0 / 24.0
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if i > 48 {
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break
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}
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}
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}
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JD1 := sundown - 5.00/24.00/60.00
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for {
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JD0 := JD1
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stDegree := SunHeight(JD0, Lon, Lat, ntz) - An
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stDegreep := (SunHeight(JD0+0.000005, Lon, Lat, ntz) - SunHeight(JD0-0.000005, Lon, Lat, ntz)) / 0.00001
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JD1 = JD0 - stDegree/stDegreep
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if math.Abs(JD1-JD0) < 0.00001 {
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break
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}
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}
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return JD1 - ntz/24 + TZ/24
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}
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func MorningTwilight(JD, Lon, Lat, TZ, An float64) float64 {
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// 调整到中午12点
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JD = math.Floor(JD) + 1.5
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// 计算时区
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ntz := math.Round(Lon / 15)
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// 计算太阳上中天时间
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culminationTime := CulminationTime(JD, Lon, ntz)
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// 检查极夜和极昼条件
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if SunHeight(culminationTime, Lon, Lat, ntz) < An {
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return -2 // 极夜
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}
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if SunHeight(culminationTime-0.5, Lon, Lat, ntz) > An {
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return -1 // 极昼
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}
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// 计算日出时间
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sunDec := HSunApparentDec(culminationTime)
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tmp := (Sin(An) - Sin(sunDec)*Sin(Lat)) / (Cos(sunDec) * Cos(Lat))
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var sunrise float64
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if math.Abs(tmp) <= 1 && Lat < 85 {
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hourAngle := ArcCos(tmp) / 15
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sunrise = culminationTime - hourAngle/24 - 25.0/(24.0*60.0)
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} else {
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sunrise = culminationTime
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for i := 0; i < 48 && LowSunHeight(sunrise, Lon, Lat, ntz) > An; i++ {
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sunrise -= 15.0 / (60.0 * 24.0) // 每次减少15分钟
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}
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}
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JD1 := sunrise - 5.0/(24.0*60.0)
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for {
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JD0 := JD1
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heightDiff := SunHeight(JD0, Lon, Lat, ntz) - An
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heightDerivative := (SunHeight(JD0+0.000005, Lon, Lat, ntz) - SunHeight(JD0-0.000005, Lon, Lat, ntz)) / 0.00001
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JD1 = JD0 - heightDiff/heightDerivative
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if math.Abs(JD1-JD0) < 0.00001 {
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break
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}
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}
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return JD1 - ntz/24 + TZ/24
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}
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/*
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* 太阳时角
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*/
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func SunTimeAngle(JD, Lon, Lat, TZ float64) float64 {
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startime := Limit360(ApparentSiderealTime(JD-TZ/24)*15 + Lon)
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timeangle := startime - HSunApparentRa(TD2UT(JD-TZ/24, true))
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if timeangle < 0 {
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timeangle += 360
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}
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return timeangle
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}
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// GetSunRiseTime 精确计算日出时间，传入当日0时JDE
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func GetSunRiseTime(julianDay, longitude, latitude, timeZone, zenithShift, height float64) float64 {
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return calculateSunRiseSetTime(julianDay, longitude, latitude, timeZone, zenithShift, height, true)
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}
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// GetSunSetTime 精确计算日落时间，传入当日0时JDE
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func GetSunSetTime(julianDay, longitude, latitude, timeZone, zenithShift, height float64) float64 {
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return calculateSunRiseSetTime(julianDay, longitude, latitude, timeZone, zenithShift, height, false)
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}
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// calculateSunRiseSetTime 统一的日出日落计算函数
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func calculateSunRiseSetTime(julianDay, longitude, latitude, timeZone, zenithShift, height float64, isSunrise bool) float64 {
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var sunAngle float64
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julianDay = math.Floor(julianDay) + 1.5
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naturalTimeZone := math.Round(longitude / 15)
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// 计算太阳高度角
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if zenithShift != 0 {
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sunAngle = -0.8333
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}
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sunAngle = sunAngle - HeightDegreeByLat(height, latitude)
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// 获取太阳上中天时间
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solarNoonTime := CulminationTime(julianDay, longitude, naturalTimeZone)
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// 检查极夜极昼条件
|
||
polarCondition := checkPolarConditions(solarNoonTime, longitude, latitude, naturalTimeZone, sunAngle, isSunrise)
|
||
if polarCondition != 0 {
|
||
return polarCondition
|
||
}
|
||
|
||
// 计算初始估算时间
|
||
initialTime := calculateInitialSunTime(solarNoonTime, longitude, latitude, naturalTimeZone, sunAngle, isSunrise)
|
||
|
||
// 牛顿-拉夫逊迭代求精确解
|
||
return sunRiseSetNewtonRaphsonIteration(initialTime, longitude, latitude, naturalTimeZone, sunAngle, timeZone)
|
||
}
|
||
|
||
// checkPolarConditions 检查极夜极昼条件
|
||
func checkPolarConditions(solarNoonTime, longitude, latitude, naturalTimeZone, sunAngle float64, isSunrise bool) float64 {
|
||
if SunHeight(solarNoonTime, longitude, latitude, naturalTimeZone) < sunAngle {
|
||
return -2 // 极夜
|
||
}
|
||
|
||
checkTime := solarNoonTime + 0.5
|
||
if isSunrise {
|
||
checkTime = solarNoonTime - 0.5
|
||
}
|
||
|
||
if SunHeight(checkTime, longitude, latitude, naturalTimeZone) > sunAngle {
|
||
return -1 // 极昼
|
||
}
|
||
|
||
return 0 // 正常条件
|
||
}
|
||
|
||
// calculateInitialSunTime 计算日出日落的初始估算时间
|
||
func calculateInitialSunTime(solarNoonTime, longitude, latitude, naturalTimeZone, sunAngle float64, isSunrise bool) float64 {
|
||
// 使用球面三角法计算: (sin(ho)-sin(φ)*sin(δ))/(cos(φ)*cos(δ))
|
||
apparentDeclination := HSunApparentDec(solarNoonTime)
|
||
cosHourAngle := (Sin(sunAngle) - Sin(apparentDeclination)*Sin(latitude)) / (Cos(apparentDeclination) * Cos(latitude))
|
||
|
||
if math.Abs(cosHourAngle) <= 1 && latitude < 85 {
|
||
// 使用解析解
|
||
hourAngle := ArcCos(cosHourAngle) / 15
|
||
timeOffset := 25.0 / 24.0 / 60.0 // 日出偏移
|
||
if !isSunrise {
|
||
timeOffset = 35.0 / 24.0 / 60.0 // 日落偏移
|
||
}
|
||
|
||
if isSunrise {
|
||
return solarNoonTime - hourAngle/24 - timeOffset
|
||
} else {
|
||
return solarNoonTime + hourAngle/24 + timeOffset
|
||
}
|
||
} else {
|
||
// 使用迭代逼近法（极地条件）
|
||
return iterativeApproach(solarNoonTime, longitude, latitude, naturalTimeZone, sunAngle, isSunrise)
|
||
}
|
||
}
|
||
|
||
// iterativeApproach 迭代逼近法计算（用于极地等特殊条件）
|
||
func iterativeApproach(solarNoonTime, longitude, latitude, naturalTimeZone, sunAngle float64, isSunrise bool) float64 {
|
||
estimatedTime := solarNoonTime
|
||
stepSize := 15.0 / 60.0 / 24.0 // 15分钟步长
|
||
if isSunrise {
|
||
stepSize = -stepSize
|
||
}
|
||
|
||
const maxIterations = 48
|
||
for i := 0; i < maxIterations && LowSunHeight(estimatedTime, longitude, latitude, naturalTimeZone) > sunAngle; i++ {
|
||
estimatedTime += stepSize
|
||
}
|
||
|
||
return estimatedTime
|
||
}
|
||
|
||
// sunRiseSetNewtonRaphsonIteration 牛顿-拉夫逊迭代法求精确解
|
||
func sunRiseSetNewtonRaphsonIteration(initialTime, longitude, latitude, naturalTimeZone, sunAngle, timeZone float64) float64 {
|
||
const (
|
||
convergenceThreshold = 0.00001
|
||
derivativeStep = 0.000005
|
||
)
|
||
|
||
currentTime := initialTime
|
||
|
||
for {
|
||
previousTime := currentTime
|
||
|
||
// 计算函数值：f(t) = SunHeight(t) - targetAngle
|
||
functionValue := SunHeight(previousTime, longitude, latitude, naturalTimeZone) - sunAngle
|
||
|
||
// 计算导数：f'(t) ≈ (f(t+h) - f(t-h)) / (2h)
|
||
derivative := (SunHeight(previousTime+derivativeStep, longitude, latitude, naturalTimeZone) -
|
||
SunHeight(previousTime-derivativeStep, longitude, latitude, naturalTimeZone)) / (2 * derivativeStep)
|
||
|
||
// 牛顿-拉夫逊公式：t_new = t_old - f(t) / f'(t)
|
||
currentTime = previousTime - functionValue/derivative
|
||
|
||
// 检查收敛
|
||
if math.Abs(currentTime-previousTime) <= convergenceThreshold {
|
||
break
|
||
}
|
||
}
|
||
|
||
// 转换为指定时区
|
||
return currentTime - naturalTimeZone/24 + timeZone/24
|
||
}
|
||
|
||
/*
|
||
* 太阳高度角 世界时
|
||
*/
|
||
func SunHeight(JD, Lon, Lat, TZ float64) float64 {
|
||
//tmp := (TZ*15 - Lon) * 4 / 60
|
||
//truejd := JD - tmp/24
|
||
calcjd := JD - TZ/24.0
|
||
tjde := TD2UT(calcjd, true)
|
||
st := Limit360(ApparentSiderealTime(calcjd)*15 + Lon)
|
||
ra, dec := HSunApparentRaDec(tjde)
|
||
H := Limit360(st - ra)
|
||
tmp2 := Sin(Lat)*Sin(dec) + Cos(dec)*Cos(Lat)*Cos(H)
|
||
return ArcSin(tmp2)
|
||
}
|
||
func LowSunHeight(JD, Lon, Lat, TZ float64) float64 {
|
||
//tmp := (TZ*15 - Lon) * 4 / 60
|
||
//truejd := JD - tmp/24
|
||
calcjd := JD - TZ/24
|
||
st := Limit360(ApparentSiderealTime(calcjd)*15 + Lon)
|
||
H := Limit360(st - SunApparentRa(TD2UT(calcjd, true)))
|
||
dec := SunApparentDec(TD2UT(calcjd, true))
|
||
tmp2 := Sin(Lat)*Sin(dec) + Cos(dec)*Cos(Lat)*Cos(H)
|
||
return ArcSin(tmp2)
|
||
}
|
||
func SunAngle(JD, Lon, Lat, TZ float64) float64 {
|
||
//tmp := (TZ*15 - Lon) * 4 / 60
|
||
//truejd := JD - tmp/24
|
||
calcjd := JD - TZ/24
|
||
st := Limit360(ApparentSiderealTime(calcjd)*15 + Lon)
|
||
H := Limit360(st - HSunApparentRa(TD2UT(calcjd, true)))
|
||
tmp2 := Sin(H) / (Cos(H)*Sin(Lat) - Tan(HSunApparentDec(TD2UT(calcjd, true)))*Cos(Lat))
|
||
Angle := ArcTan(tmp2)
|
||
if Angle < 0 {
|
||
if H/15 < 12 {
|
||
return Angle + 360
|
||
}
|
||
return Angle + 180
|
||
}
|
||
if H/15 < 12 {
|
||
return Angle + 180
|
||
}
|
||
return Angle
|
||
}
|
||
|
||
/*
|
||
* 干支
|
||
*/
|
||
func GetGZ(year int) string {
|
||
tiangan := []string{"庚", "辛", "壬", "癸", "甲", "乙", "丙", "丁", "戊", "己"}
|
||
dizhi := []string{"申", "酉", "戌", "亥", "子", "丑", "寅", "卯", "辰", "巳", "午", "未"}
|
||
t := year - (year / 10 * 10)
|
||
if t < 0 {
|
||
t += 10
|
||
}
|
||
d := year % 12
|
||
if d < 0 {
|
||
d += 12
|
||
}
|
||
return tiangan[t] + dizhi[d]
|
||
}
|