feat: 扩展天文计算能力
- 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
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+51
-78
@@ -14,10 +14,10 @@ func StarHeight(jde, ra, dec, lon, lat, timezone float64) float64 {
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// 计算视恒星时
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st := Limit360(ApparentSiderealTime(utcJde)*15 + lon)
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// 计算时角
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H := Limit360(st - ra)
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hourAngle := Limit360(st - ra)
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// 高度角、时角与天球座标三角转换公式
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// sin(h)=sin(lat)*sin(dec)+cos(dec)*cos(lat)*cos(H)
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sinHeight := Sin(lat)*Sin(dec) + Cos(dec)*Cos(lat)*Cos(H)
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// sin(h)=sin(lat)*sin(dec)+cos(dec)*cos(lat)*cos(hourAngle)
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sinHeight := Sin(lat)*Sin(dec) + Cos(dec)*Cos(lat)*Cos(hourAngle)
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return ArcSin(sinHeight)
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}
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@@ -30,20 +30,20 @@ func StarAzimuth(jde, ra, dec, lon, lat, timezone float64) float64 {
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// 计算视恒星时
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st := Limit360(ApparentSiderealTime(utcJde)*15 + lon)
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// 计算时角
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H := Limit360(st - ra)
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hourAngle := Limit360(st - ra)
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// 三角转换公式
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tanAzimuth := Sin(H) / (Cos(H)*Sin(lat) - Tan(dec)*Cos(lat))
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Azimuth := ArcTan(tanAzimuth)
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if Azimuth < 0 {
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if H/15 < 12 {
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return Azimuth + 360
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tanAzimuth := Sin(hourAngle) / (Cos(hourAngle)*Sin(lat) - Tan(dec)*Cos(lat))
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azimuth := ArcTan(tanAzimuth)
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if azimuth < 0 {
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if hourAngle/15 < 12 {
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return azimuth + 360
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}
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return Azimuth + 180
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return azimuth + 180
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}
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if H/15 < 12 {
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return Azimuth + 180
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if hourAngle/15 < 12 {
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return azimuth + 180
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}
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return Azimuth
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return azimuth
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}
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// StarHourAngle 星体的时角
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@@ -59,25 +59,25 @@ func StarHourAngle(jde, ra, lon, timezone float64) float64 {
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}
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// MeanSiderealTime 平恒星时
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func MeanSiderealTime(JD float64) float64 {
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return MeanSiderealTime2006(JD)
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func MeanSiderealTime(jd float64) float64 {
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return MeanSiderealTime2006(jd)
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}
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// ApparentSiderealTime 视恒星时，计算章动
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func ApparentSiderealTime(JD float64) float64 {
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return ApparentSiderealTime2006(JD)
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func ApparentSiderealTime(jd float64) float64 {
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return ApparentSiderealTime2006(jd)
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}
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// MeanSiderealTime1982 不含章动下的恒星时
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func MeanSiderealTime1982(JD float64) float64 {
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T := (JD - 2451545) / 36525
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return (Limit360(280.46061837+360.98564736629*(JD-2451545.0)+0.000387933*T*T-T*T*T/38710000) / 15)
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func MeanSiderealTime1982(jd float64) float64 {
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t := (jd - 2451545) / 36525
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return (Limit360(280.46061837+360.98564736629*(jd-2451545.0)+0.000387933*t*t-t*t*t/38710000) / 15)
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}
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// ApparentSiderealTime1982 视恒星时，计算章动
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func ApparentSiderealTime1982(JD float64) float64 {
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tmp := MeanSiderealTime1982(JD)
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return tmp + Nutation2000Bi(JD)*Cos(Sita(JD))/15
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func ApparentSiderealTime1982(jd float64) float64 {
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tmp := MeanSiderealTime1982(jd)
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return tmp + Nutation2000Bi(jd)*Cos(TrueObliquity(jd))/15
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}
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// EarthRotationAngle 计算地球自转角 (ERA)
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@@ -116,82 +116,55 @@ func MeanSiderealTime2006(jd_ut1 float64) float64 {
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}
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// ApparentSiderealTime2006 视恒星时，计算章动
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func ApparentSiderealTime2006(JD float64) float64 {
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tmp := MeanSiderealTime2006(JD)
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return tmp + Nutation2000Bi(JD)*Cos(Sita(JD))/15
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func ApparentSiderealTime2006(jd float64) float64 {
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tmp := MeanSiderealTime2006(jd)
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return tmp + Nutation2000Bi(jd)*Cos(TrueObliquity(jd))/15
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}
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func StarAngle(RA, DEC, JD, Lon, Lat, TZ float64) float64 {
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//JD=JD-8/24+TZ/24;
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calcjd := JD - TZ/24
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st := Limit360(ApparentSiderealTime(calcjd)*15 + Lon)
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H := Limit360(st - RA)
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tmp2 := Sin(H) / (Cos(H)*Sin(Lat) - Tan(DEC)*Cos(Lat))
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Angle := ArcTan(tmp2)
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if Angle < 0 {
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if H/15 < 12 {
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return Angle + 360
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} else {
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return Angle + 180
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}
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} else {
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if H/15 < 12 {
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return Angle + 180
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} else {
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return Angle
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}
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}
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func StarRiseTime(jde, ra, dec, lon, lat, height, timezone float64, aero bool) (float64, error) {
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return StarRiseSetTime(jde, ra, dec, lon, lat, height, timezone, aero, true)
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}
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func StarRiseTime(jde, ra, dec, lon, lat, height, timezone float64, aero bool) float64 {
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return StarRiseDownTime(jde, ra, dec, lon, lat, height, timezone, aero, true)
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func StarSetTime(jde, ra, dec, lon, lat, height, timezone float64, aero bool) (float64, error) {
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return StarRiseSetTime(jde, ra, dec, lon, lat, height, timezone, aero, false)
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}
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func StarDownTime(jde, ra, dec, lon, lat, height, timezone float64, aero bool) float64 {
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return StarRiseDownTime(jde, ra, dec, lon, lat, height, timezone, aero, false)
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}
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func StarRiseDownTime(jde, ra, dec, lon, lat, height, timezone float64, aero, isRise bool) float64 {
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func StarRiseSetTime(jde, ra, dec, lon, lat, height, timezone float64, aero, isRise bool) (float64, error) {
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//jde 世界时，非力学时，当地时区 0时，无需转换力学时
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//ra,dec 瞬时天球座标，非J2000等时间天球坐标
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jde = math.Floor(jde) + 0.5
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var An float64 = 0
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if aero {
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An = -0.566667
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}
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An = An - HeightDegreeByLat(height, lat)
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targetAltitude := StandardAltitudeStar(aero, height, lat)
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sct := StarCulminationTime(jde, ra, lon, timezone)
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tmp := (Sin(An) - Sin(dec)*Sin(lat)) / (Cos(dec) * Cos(lat))
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tmp := (Sin(targetAltitude) - Sin(dec)*Sin(lat)) / (Cos(dec) * Cos(lat))
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if math.Abs(tmp) > 1 {
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if StarHeight(sct, ra, dec, lon, lat, timezone) < 0 {
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return -2 //极夜
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} else {
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return -1 //极昼
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return 0, ErrNeverRise
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}
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return 0, ErrNeverSet
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}
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var JD1 float64
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var estimateJD float64
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if isRise {
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JD1 = sct - ArcCos(tmp)/15.0/24.0
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estimateJD = sct - ArcCos(tmp)/15.0/24.0
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} else {
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JD1 = sct + ArcCos(tmp)/15.0/24.0
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estimateJD = sct + ArcCos(tmp)/15.0/24.0
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}
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for {
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JD0 := JD1
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stDegree := StarHeight(JD0, ra, dec, lon, lat, timezone) - An
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stDegreep := (StarHeight(JD0+0.000005, ra, dec, lon, lat, timezone) - StarHeight(JD0-0.000005, ra, dec, lon, lat, timezone)) / 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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prevJD := estimateJD
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stDegree := StarHeight(prevJD, ra, dec, lon, lat, timezone) - targetAltitude
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stDegreep := (StarHeight(prevJD+0.000005, ra, dec, lon, lat, timezone) - StarHeight(prevJD-0.000005, ra, dec, lon, lat, timezone)) / 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 JD1
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return estimateJD, nil
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}
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func StarCulminationTime(jde, ra, lon, timezone float64) float64 {
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//jde 世界时，非力学时，当地时区 0时，无需转换力学时
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//ra,dec 瞬时天球座标，非J2000等时间天球坐标
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jde = math.Floor(jde) + 0.5
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JD1 := jde + Limit360(360-StarHourAngle(jde, ra, lon, timezone))/15.0/24.0*0.99726851851851851851
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estimateJD := jde + Limit360(360-StarHourAngle(jde, ra, lon, timezone))/15.0/24.0*0.99726851851851851851
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limitStarHA := func(jde, ra, lon, timezone float64) float64 {
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ha := StarHourAngle(jde, ra, lon, timezone)
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if ha < 180 {
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@@ -200,15 +173,15 @@ func StarCulminationTime(jde, ra, lon, timezone float64) float64 {
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return ha
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}
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for {
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JD0 := JD1
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stDegree := limitStarHA(JD0, ra, lon, timezone) - 360
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stDegreep := (limitStarHA(JD0+0.000005, ra, lon, timezone) - limitStarHA(JD0-0.000005, ra, lon, timezone)) / 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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prevJD := estimateJD
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stDegree := limitStarHA(prevJD, ra, lon, timezone) - 360
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stDegreep := (limitStarHA(prevJD+0.000005, ra, lon, timezone) - limitStarHA(prevJD-0.000005, ra, lon, timezone)) / 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 JD1
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return estimateJD
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}
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func StarAngularSeparation(ra1, dec1, ra2, dec2 float64) float64 {
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