b612
9ee2163cc7
- 新增月掩恒星和行星：支持搜索、掩甚点、全球掩带及固定地点轨迹计算 - 支持恒星星表坐标转换、有限盘面行星接触事件和月掩 SVG 输出 - 新增日月食及月掩全球投影图、时间标记和 GeoJSON 地理数据接口 - 扩展日食中心线、南北界及偏食足迹采样，支持极区投影 - 修正站心时角、月出月落、月球视半径、折射和恒星自行计算 - 优化内外行星事件搜索、边界选择、极端输入处理和计算稳定性
540 lines
20 KiB
Go
540 lines
20 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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// 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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func CulminationTimeN(jd, lon, tz float64, n int) 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 - SunTimeN(jd, n)/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, targetAltitude float64) (float64, error) {
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jd = math.Floor(jd) + 1.5
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localTimeZone := math.Round(lon / 15)
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culminationTime := CulminationTime(jd, lon, localTimeZone)
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if SunHeight(culminationTime, lon, lat, localTimeZone) < targetAltitude {
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return 0, ErrNeverRise
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}
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if SunHeight(culminationTime+0.5, lon, lat, localTimeZone) > targetAltitude {
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return 0, ErrNeverSet
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}
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tmp := (Sin(targetAltitude) - 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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hourOffset := ArcCos(tmp) / 15
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sundown = culminationTime + hourOffset/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, localTimeZone) > targetAltitude {
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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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estimateJD := sundown - 5.00/24.00/60.00
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var ok bool
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estimateJD, ok = eventNewtonRefine(estimateJD, 0.00001, func(prevJD float64) float64 {
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stDegree := SunHeight(prevJD, lon, lat, localTimeZone) - targetAltitude
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stDegreep := (SunHeight(prevJD+0.000005, lon, lat, localTimeZone) - SunHeight(prevJD-0.000005, lon, lat, localTimeZone)) / 0.00001
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return stDegree / stDegreep
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})
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if !ok {
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return 0, ErrInvalidObservationInput
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}
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return estimateJD - localTimeZone/24 + tz/24, nil
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}
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func EveningTwilightN(jd, lon, lat, tz, targetAltitude float64, n int) (float64, error) {
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jd = math.Floor(jd) + 1.5
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localTimeZone := math.Round(lon / 15)
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culminationTime := CulminationTimeN(jd, lon, localTimeZone, n)
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if SunHeightN(culminationTime, lon, lat, localTimeZone, n) < targetAltitude {
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return 0, ErrNeverRise
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}
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if SunHeightN(culminationTime+0.5, lon, lat, localTimeZone, n) > targetAltitude {
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return 0, ErrNeverSet
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}
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tmp := (Sin(targetAltitude) - Sin(HSunApparentDecN(culminationTime, n))*Sin(lat)) / (Cos(HSunApparentDecN(culminationTime, n)) * Cos(lat))
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var sundown float64
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if math.Abs(tmp) <= 1 && lat < 85 {
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hourOffset := ArcCos(tmp) / 15
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sundown = culminationTime + hourOffset/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 lowSunHeightForN(sundown, lon, lat, localTimeZone, n) > targetAltitude {
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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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estimateJD := sundown - 5.00/24.00/60.00
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var ok bool
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estimateJD, ok = eventNewtonRefine(estimateJD, 0.00001, func(prevJD float64) float64 {
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stDegree := SunHeightN(prevJD, lon, lat, localTimeZone, n) - targetAltitude
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stDegreep := (SunHeightN(prevJD+0.000005, lon, lat, localTimeZone, n) - SunHeightN(prevJD-0.000005, lon, lat, localTimeZone, n)) / 0.00001
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return stDegree / stDegreep
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})
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if !ok {
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return 0, ErrInvalidObservationInput
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}
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return estimateJD - localTimeZone/24 + tz/24, nil
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}
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func MorningTwilight(jd, lon, lat, tz, targetAltitude float64) (float64, error) {
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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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localTimeZone := 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, localTimeZone)
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// 检查极夜和极昼条件
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if SunHeight(culminationTime, lon, lat, localTimeZone) < targetAltitude {
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return 0, ErrNeverRise
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}
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if SunHeight(culminationTime-0.5, lon, lat, localTimeZone) > targetAltitude {
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return 0, ErrNeverSet
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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(targetAltitude) - 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, localTimeZone) > targetAltitude; 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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estimateJD := sunrise - 5.0/(24.0*60.0)
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var ok bool
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estimateJD, ok = eventNewtonRefine(estimateJD, 0.00001, func(prevJD float64) float64 {
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heightDiff := SunHeight(prevJD, lon, lat, localTimeZone) - targetAltitude
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heightDerivative := (SunHeight(prevJD+0.000005, lon, lat, localTimeZone) - SunHeight(prevJD-0.000005, lon, lat, localTimeZone)) / 0.00001
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return heightDiff / heightDerivative
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})
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if !ok {
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return 0, ErrInvalidObservationInput
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}
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return estimateJD - localTimeZone/24 + tz/24, nil
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}
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func MorningTwilightN(jd, lon, lat, tz, targetAltitude float64, n int) (float64, error) {
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jd = math.Floor(jd) + 1.5
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localTimeZone := math.Round(lon / 15)
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culminationTime := CulminationTimeN(jd, lon, localTimeZone, n)
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if SunHeightN(culminationTime, lon, lat, localTimeZone, n) < targetAltitude {
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return 0, ErrNeverRise
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}
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if SunHeightN(culminationTime-0.5, lon, lat, localTimeZone, n) > targetAltitude {
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return 0, ErrNeverSet
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}
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sunDec := HSunApparentDecN(culminationTime, n)
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tmp := (Sin(targetAltitude) - 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 && lowSunHeightForN(sunrise, lon, lat, localTimeZone, n) > targetAltitude; i++ {
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sunrise -= 15.0 / (60.0 * 24.0)
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}
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}
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estimateJD := sunrise - 5.0/(24.0*60.0)
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var ok bool
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estimateJD, ok = eventNewtonRefine(estimateJD, 0.00001, func(prevJD float64) float64 {
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heightDiff := SunHeightN(prevJD, lon, lat, localTimeZone, n) - targetAltitude
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heightDerivative := (SunHeightN(prevJD+0.000005, lon, lat, localTimeZone, n) - SunHeightN(prevJD-0.000005, lon, lat, localTimeZone, n)) / 0.00001
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return heightDiff / heightDerivative
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})
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if !ok {
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return 0, ErrInvalidObservationInput
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}
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return estimateJD - localTimeZone/24 + tz/24, nil
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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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func SunTimeAngleN(jd, lon, lat, tz float64, n int) float64 {
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startime := Limit360(ApparentSiderealTime(jd-tz/24)*15 + lon)
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timeangle := startime - HSunApparentRaN(TD2UT(jd-tz/24, true), n)
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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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type sunObservationState struct {
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altitude float64
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distanceAU float64
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}
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func sunObservationStateN(jd, lon, lat, tz float64, n int) sunObservationState {
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calculationJD := jd - tz/24.0
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tt := TD2UT(calculationJD, true)
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siderealTime := Limit360(ApparentSiderealTime(calculationJD)*15 + lon)
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ra, dec, distanceAU := hSunApparentRaDecDistanceN(tt, n)
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hourAngle := Limit360(siderealTime - ra)
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altitudeSine := Sin(lat)*Sin(dec) + Cos(dec)*Cos(lat)*Cos(hourAngle)
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return sunObservationState{
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altitude: ArcSin(altitudeSine),
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distanceAU: distanceAU,
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}
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}
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func sunRiseSetResidual(jd, longitude, latitude, timeZone, zenithShift, height float64, n int) float64 {
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state := sunObservationStateN(jd, longitude, latitude, timeZone, n)
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// 相对观测者下沉地平线的视上缘高度角 / Apparent upper-limb altitude relative to the observer's depressed horizon.
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residual := state.altitude + HeightDegreeByLat(height, latitude)
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if zenithShift != 0 {
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residual += RefractionFromTrueAltitude(state.altitude, refractionStandardPressureHPa, refractionStandardTemperatureC)
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residual += angularSemidiameterFromAU(sunEquatorialRadiusKM, state.distanceAU) / 3600
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}
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return residual
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}
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func sunRiseSetOnCivilDay(candidate, slope, civilDayStart, longitude, latitude, requestedTimeZone,
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localTimeZone, zenithShift, height float64, isSunrise bool, n int, fallbackErr error) (float64, error) {
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if eventRiseSetCandidateValid(candidate, civilDayStart, slope, isSunrise) {
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return candidate, nil
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}
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return eventDirectionalRiseSetSearch(civilDayStart, isSunrise, fallbackErr, func(outputJD float64) float64 {
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localJD := outputJD + localTimeZone/24 - requestedTimeZone/24
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return sunRiseSetResidual(localJD, longitude, latitude, localTimeZone, zenithShift, height, n)
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})
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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, error) {
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return calculateSunRiseSetTime(julianDay, longitude, latitude, timeZone, zenithShift, height, true)
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}
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func GetSunRiseTimeN(julianDay, longitude, latitude, timeZone, zenithShift, height float64, n int) (float64, error) {
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return calculateSunRiseSetTimeN(julianDay, longitude, latitude, timeZone, zenithShift, height, true, n)
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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, error) {
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return calculateSunRiseSetTime(julianDay, longitude, latitude, timeZone, zenithShift, height, false)
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}
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func GetSunSetTimeN(julianDay, longitude, latitude, timeZone, zenithShift, height float64, n int) (float64, error) {
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return calculateSunRiseSetTimeN(julianDay, longitude, latitude, timeZone, zenithShift, height, false, n)
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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, error) {
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if !isFiniteFloat(julianDay) || !isFiniteFloat(longitude) || !isFiniteFloat(latitude) || !isFiniteFloat(timeZone) || !isFiniteFloat(zenithShift) || !isFiniteFloat(height) {
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return 0, ErrInvalidObservationInput
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}
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civilDayStart := math.Floor(julianDay) + 0.5
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julianDay = math.Floor(julianDay) + 1.5
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naturalTimeZone := math.Round(longitude / 15)
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sunAngle := StandardAltitudeSun(zenithShift, 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
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if err := checkPolarConditions(solarNoonTime, longitude, latitude, naturalTimeZone, zenithShift, height, isSunrise); err != nil {
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return sunRiseSetOnCivilDay(math.NaN(), math.NaN(), civilDayStart, longitude, latitude, timeZone,
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naturalTimeZone, zenithShift, height, isSunrise, -1, err)
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}
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// 计算初始估算时间
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initialTime := calculateInitialSunTime(solarNoonTime, longitude, latitude, naturalTimeZone, sunAngle, zenithShift, height, isSunrise)
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// 牛顿-拉夫逊迭代求精确解
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result, slope := sunRiseSetNewtonRaphsonIteration(initialTime, longitude, latitude, naturalTimeZone, zenithShift, height, timeZone)
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return sunRiseSetOnCivilDay(result, slope, civilDayStart, longitude, latitude, timeZone,
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naturalTimeZone, zenithShift, height, isSunrise, -1, nil)
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}
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func calculateSunRiseSetTimeN(julianDay, longitude, latitude, timeZone, zenithShift, height float64, isSunrise bool, n int) (float64, error) {
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if !isFiniteFloat(julianDay) || !isFiniteFloat(longitude) || !isFiniteFloat(latitude) || !isFiniteFloat(timeZone) || !isFiniteFloat(zenithShift) || !isFiniteFloat(height) {
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return 0, ErrInvalidObservationInput
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}
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civilDayStart := math.Floor(julianDay) + 0.5
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julianDay = math.Floor(julianDay) + 1.5
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naturalTimeZone := math.Round(longitude / 15)
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sunAngle := StandardAltitudeSun(zenithShift, height, latitude)
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solarNoonTime := CulminationTimeN(julianDay, longitude, naturalTimeZone, n)
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if err := checkPolarConditionsN(solarNoonTime, longitude, latitude, naturalTimeZone, zenithShift, height, isSunrise, n); err != nil {
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return sunRiseSetOnCivilDay(math.NaN(), math.NaN(), civilDayStart, longitude, latitude, timeZone,
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naturalTimeZone, zenithShift, height, isSunrise, n, err)
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}
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initialTime := calculateInitialSunTimeN(solarNoonTime, longitude, latitude, naturalTimeZone, sunAngle, zenithShift, height, isSunrise, n)
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result, slope := sunRiseSetNewtonRaphsonIterationN(initialTime, longitude, latitude, naturalTimeZone, zenithShift, height, timeZone, n)
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return sunRiseSetOnCivilDay(result, slope, civilDayStart, longitude, latitude, timeZone,
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naturalTimeZone, zenithShift, height, isSunrise, n, nil)
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}
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// checkPolarConditions 检查极夜极昼条件
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func checkPolarConditions(solarNoonTime, longitude, latitude, naturalTimeZone, zenithShift, height float64, isSunrise bool) error {
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if sunRiseSetResidual(solarNoonTime, longitude, latitude, naturalTimeZone, zenithShift, height, -1) < 0 {
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return ErrNeverRise
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}
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checkTime := solarNoonTime + 0.5
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if isSunrise {
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checkTime = solarNoonTime - 0.5
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}
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if sunRiseSetResidual(checkTime, longitude, latitude, naturalTimeZone, zenithShift, height, -1) > 0 {
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return ErrNeverSet
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}
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return nil
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}
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func checkPolarConditionsN(solarNoonTime, longitude, latitude, naturalTimeZone, zenithShift, height float64, isSunrise bool, n int) error {
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if sunRiseSetResidual(solarNoonTime, longitude, latitude, naturalTimeZone, zenithShift, height, n) < 0 {
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return ErrNeverRise
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}
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checkTime := solarNoonTime + 0.5
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if isSunrise {
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checkTime = solarNoonTime - 0.5
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}
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if sunRiseSetResidual(checkTime, longitude, latitude, naturalTimeZone, zenithShift, height, n) > 0 {
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return ErrNeverSet
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}
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return nil
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}
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// calculateInitialSunTime 计算日出日落的初始估算时间
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func calculateInitialSunTime(solarNoonTime, longitude, latitude, naturalTimeZone, sunAngle, zenithShift, height float64, isSunrise bool) float64 {
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// 使用球面三角法计算: (sin(ho)-sin(φ)*sin(δ))/(cos(φ)*cos(δ))
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apparentDeclination := HSunApparentDec(solarNoonTime)
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cosHourAngle := (Sin(sunAngle) - Sin(apparentDeclination)*Sin(latitude)) / (Cos(apparentDeclination) * Cos(latitude))
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if math.Abs(cosHourAngle) <= 1 && latitude < 85 {
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// 使用解析解
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hourAngle := ArcCos(cosHourAngle) / 15
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timeOffset := 25.0 / 24.0 / 60.0 // 日出偏移
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if !isSunrise {
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timeOffset = 35.0 / 24.0 / 60.0 // 日落偏移
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}
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if isSunrise {
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return solarNoonTime - hourAngle/24 - timeOffset
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} else {
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return solarNoonTime + hourAngle/24 + timeOffset
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}
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} else {
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// 使用迭代逼近法（极地条件）
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return iterativeApproach(solarNoonTime, longitude, latitude, naturalTimeZone, zenithShift, height, isSunrise)
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}
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}
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func calculateInitialSunTimeN(solarNoonTime, longitude, latitude, naturalTimeZone, sunAngle, zenithShift, height float64, isSunrise bool, n int) float64 {
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apparentDeclination := HSunApparentDecN(solarNoonTime, n)
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cosHourAngle := (Sin(sunAngle) - Sin(apparentDeclination)*Sin(latitude)) / (Cos(apparentDeclination) * Cos(latitude))
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if math.Abs(cosHourAngle) <= 1 && latitude < 85 {
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hourAngle := ArcCos(cosHourAngle) / 15
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timeOffset := 25.0 / 24.0 / 60.0
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if !isSunrise {
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timeOffset = 35.0 / 24.0 / 60.0
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}
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if isSunrise {
|
|
return solarNoonTime - hourAngle/24 - timeOffset
|
|
}
|
|
return solarNoonTime + hourAngle/24 + timeOffset
|
|
}
|
|
|
|
return iterativeApproachN(solarNoonTime, longitude, latitude, naturalTimeZone, zenithShift, height, isSunrise, n)
|
|
}
|
|
|
|
// iterativeApproach 迭代逼近法计算（用于极地等特殊条件）
|
|
func iterativeApproach(solarNoonTime, longitude, latitude, naturalTimeZone, zenithShift, height 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 && sunRiseSetResidual(estimatedTime, longitude, latitude, naturalTimeZone, zenithShift, height, -1) > 0; i++ {
|
|
estimatedTime += stepSize
|
|
}
|
|
|
|
return estimatedTime
|
|
}
|
|
|
|
func iterativeApproachN(solarNoonTime, longitude, latitude, naturalTimeZone, zenithShift, height float64, isSunrise bool, n int) float64 {
|
|
estimatedTime := solarNoonTime
|
|
stepSize := 15.0 / 60.0 / 24.0
|
|
if isSunrise {
|
|
stepSize = -stepSize
|
|
}
|
|
|
|
const maxIterations = 48
|
|
for i := 0; i < maxIterations && sunRiseSetResidual(estimatedTime, longitude, latitude, naturalTimeZone, zenithShift, height, n) > 0; i++ {
|
|
estimatedTime += stepSize
|
|
}
|
|
|
|
return estimatedTime
|
|
}
|
|
|
|
// sunRiseSetNewtonRaphsonIteration 牛顿-拉夫逊迭代法求精确解
|
|
func sunRiseSetNewtonRaphsonIteration(initialTime, longitude, latitude, naturalTimeZone, zenithShift, height, timeZone float64) (float64, float64) {
|
|
const (
|
|
convergenceThreshold = 0.00001
|
|
derivativeStep = 0.000005
|
|
)
|
|
|
|
currentTime := initialTime
|
|
slope := math.NaN()
|
|
var ok bool
|
|
currentTime, ok = eventNewtonRefine(currentTime, convergenceThreshold, func(previousTime float64) float64 {
|
|
functionValue := sunRiseSetResidual(previousTime, longitude, latitude, naturalTimeZone, zenithShift, height, -1)
|
|
slope = (sunRiseSetResidual(previousTime+derivativeStep, longitude, latitude, naturalTimeZone, zenithShift, height, -1) -
|
|
sunRiseSetResidual(previousTime-derivativeStep, longitude, latitude, naturalTimeZone, zenithShift, height, -1)) / (2 * derivativeStep)
|
|
return functionValue / slope
|
|
})
|
|
if !ok {
|
|
return math.NaN(), math.NaN()
|
|
}
|
|
|
|
// 转换为指定时区
|
|
return currentTime - naturalTimeZone/24 + timeZone/24, slope
|
|
}
|
|
|
|
func sunRiseSetNewtonRaphsonIterationN(initialTime, longitude, latitude, naturalTimeZone, zenithShift, height, timeZone float64, n int) (float64, float64) {
|
|
const (
|
|
convergenceThreshold = 0.00001
|
|
derivativeStep = 0.000005
|
|
)
|
|
|
|
currentTime := initialTime
|
|
slope := math.NaN()
|
|
var ok bool
|
|
currentTime, ok = eventNewtonRefine(currentTime, convergenceThreshold, func(previousTime float64) float64 {
|
|
functionValue := sunRiseSetResidual(previousTime, longitude, latitude, naturalTimeZone, zenithShift, height, n)
|
|
slope = (sunRiseSetResidual(previousTime+derivativeStep, longitude, latitude, naturalTimeZone, zenithShift, height, n) -
|
|
sunRiseSetResidual(previousTime-derivativeStep, longitude, latitude, naturalTimeZone, zenithShift, height, n)) / (2 * derivativeStep)
|
|
return functionValue / slope
|
|
})
|
|
if !ok {
|
|
return math.NaN(), math.NaN()
|
|
}
|
|
|
|
return currentTime - naturalTimeZone/24 + timeZone/24, slope
|
|
}
|
|
|
|
/*
|
|
* 太阳高度角 世界时
|
|
*/
|
|
func SunHeight(jd, lon, lat, tz float64) float64 {
|
|
return SunHeightN(jd, lon, lat, tz, -1)
|
|
}
|
|
|
|
func SunHeightN(jd, lon, lat, tz float64, n int) float64 {
|
|
return sunObservationStateN(jd, lon, lat, tz, n).altitude
|
|
}
|
|
|
|
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)
|
|
hourAngle := Limit360(st - SunApparentRa(TD2UT(calcjd, true)))
|
|
dec := SunApparentDec(TD2UT(calcjd, true))
|
|
tmp2 := Sin(lat)*Sin(dec) + Cos(dec)*Cos(lat)*Cos(hourAngle)
|
|
return ArcSin(tmp2)
|
|
}
|
|
|
|
func lowSunHeightForN(jd, lon, lat, tz float64, n int) float64 {
|
|
if n < 0 {
|
|
return LowSunHeight(jd, lon, lat, tz)
|
|
}
|
|
return SunHeightN(jd, lon, lat, tz, n)
|
|
}
|
|
|
|
func SunAzimuth(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)
|
|
hourAngle := Limit360(st - HSunApparentRa(TD2UT(calcjd, true)))
|
|
tmp2 := Sin(hourAngle) / (Cos(hourAngle)*Sin(lat) - Tan(HSunApparentDec(TD2UT(calcjd, true)))*Cos(lat))
|
|
azimuth := ArcTan(tmp2)
|
|
if azimuth < 0 {
|
|
if hourAngle/15 < 12 {
|
|
return azimuth + 360
|
|
}
|
|
return azimuth + 180
|
|
}
|
|
if hourAngle/15 < 12 {
|
|
return azimuth + 180
|
|
}
|
|
return azimuth
|
|
}
|
|
|
|
func SunAzimuthN(jd, lon, lat, tz float64, n int) float64 {
|
|
calcjd := jd - tz/24
|
|
st := Limit360(ApparentSiderealTime(calcjd)*15 + lon)
|
|
hourAngle := Limit360(st - HSunApparentRaN(TD2UT(calcjd, true), n))
|
|
tmp2 := Sin(hourAngle) / (Cos(hourAngle)*Sin(lat) - Tan(HSunApparentDecN(TD2UT(calcjd, true), n))*Cos(lat))
|
|
azimuth := ArcTan(tmp2)
|
|
if azimuth < 0 {
|
|
if hourAngle/15 < 12 {
|
|
return azimuth + 360
|
|
}
|
|
return azimuth + 180
|
|
}
|
|
if hourAngle/15 < 12 {
|
|
return azimuth + 180
|
|
}
|
|
return azimuth
|
|
}
|