change delta T formula and add planet phenomena function
This commit is contained in:
+325
-16
@@ -63,22 +63,22 @@ func AMarsXYZ(JD float64) (float64, float64, float64) {
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return x, y, z
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}
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func MarsSeeRa(JD float64) float64 {
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lo, bo := MarsSeeLoBo(JD)
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func MarsApparentRa(JD float64) float64 {
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lo, bo := MarsApparentLoBo(JD)
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sita := Sita(JD)
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ra := math.Atan2((Sin(lo)*Cos(sita) - Tan(bo)*Sin(sita)), Cos(lo))
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ra = ra * 180 / math.Pi
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return Limit360(ra)
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}
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func MarsSeeDec(JD float64) float64 {
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lo, bo := MarsSeeLoBo(JD)
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func MarsApparentDec(JD float64) float64 {
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lo, bo := MarsApparentLoBo(JD)
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sita := Sita(JD)
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dec := ArcSin(Sin(bo)*Cos(sita) + Cos(bo)*Sin(sita)*Sin(lo))
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return dec
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}
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func MarsSeeRaDec(JD float64) (float64, float64) {
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lo, bo := MarsSeeLoBo(JD)
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func MarsApparentRaDec(JD float64) (float64, float64) {
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lo, bo := MarsApparentLoBo(JD)
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sita := Sita(JD)
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ra := math.Atan2((Sin(lo)*Cos(sita) - Tan(bo)*Sin(sita)), Cos(lo))
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ra = ra * 180 / math.Pi
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@@ -92,22 +92,21 @@ func EarthMarsAway(JD float64) float64 {
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return to
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}
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func MarsSeeLo(JD float64) float64 {
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func MarsApparentLo(JD float64) float64 {
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x, y, z := AMarsXYZ(JD)
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to := 0.0057755183 * math.Sqrt(x*x+y*y+z*z)
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x, y, z = AMarsXYZ(JD - to)
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lo := math.Atan2(y, x)
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bo := math.Atan2(z, math.Sqrt(x*x+y*y))
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lo = lo * 180 / math.Pi
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bo = bo * 180 / math.Pi
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lo = Limit360(lo)
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//bo := math.Atan2(z, math.Sqrt(x*x+y*y))
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lo = lo * 180.0 / math.Pi
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//bo = bo * 180 / math.Pi
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lo = Limit360(lo) + HJZD(JD)
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//lo-=GXCLo(lo,bo,JD)/3600;
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//bo+=GXCBo(lo,bo,JD);
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lo += HJZD(JD)
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return lo
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}
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func MarsSeeBo(JD float64) float64 {
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func MarsApparentBo(JD float64) float64 {
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x, y, z := AMarsXYZ(JD)
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to := 0.0057755183 * math.Sqrt(x*x+y*y+z*z)
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x, y, z = AMarsXYZ(JD - to)
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@@ -121,7 +120,7 @@ func MarsSeeBo(JD float64) float64 {
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return bo
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}
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func MarsSeeLoBo(JD float64) (float64, float64) {
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func MarsApparentLoBo(JD float64) (float64, float64) {
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x, y, z := AMarsXYZ(JD)
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to := 0.0057755183 * math.Sqrt(x*x+y*y+z*z)
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x, y, z = AMarsXYZ(JD - to)
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@@ -130,12 +129,32 @@ func MarsSeeLoBo(JD float64) (float64, float64) {
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lo = lo * 180 / math.Pi
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bo = bo * 180 / math.Pi
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lo = Limit360(lo)
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//lo-=GXCLo(lo,bo,JD)/3600;
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//bo+=GXCBo(lo,bo,JD);
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//lo -= GXCLo(lo, bo, JD) / 3600
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//bo += GXCBo(lo, bo, JD)
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lo += HJZD(JD)
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return lo, bo
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}
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func MarsTrueLoBo(JD float64) (float64, float64) {
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x, y, z := AMarsXYZ(JD)
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to := 0.0057755183 * math.Sqrt(x*x+y*y+z*z)
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x, y, z = AMarsXYZ(JD - to)
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lo := math.Atan2(y, x)
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bo := math.Atan2(z, math.Sqrt(x*x+y*y))
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lo = lo * 180 / math.Pi
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bo = bo * 180 / math.Pi
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lo = Limit360(lo)
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return lo, bo
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}
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func MarsTrueLo(JD float64) float64 {
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x, y, _ := AMarsXYZ(JD)
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lo := math.Atan2(y, x)
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lo = lo * 180 / math.Pi
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lo = Limit360(lo)
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return lo
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}
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func MarsMag(JD float64) float64 {
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AwaySun := MarsR(JD)
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AwayEarth := EarthMarsAway(JD)
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@@ -145,3 +164,293 @@ func MarsMag(JD float64) float64 {
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Mag := -1.52 + 5*math.Log10(AwaySun*AwayEarth) + 0.016*i
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return FloatRound(Mag, 2)
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}
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func MarsHeight(jde, lon, lat, timezone float64) float64 {
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// 转换为世界时
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utcJde := jde - timezone/24.0
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// 计算视恒星时
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ra, dec := MarsApparentRaDec(TD2UT(utcJde, true))
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st := Limit360(ApparentSiderealTime(utcJde)*15 + lon)
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// 计算时角
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H := 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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return ArcSin(sinHeight)
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}
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func MarsAzimuth(jde, lon, lat, timezone float64) float64 {
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// 转换为世界时
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utcJde := jde - timezone/24.0
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// 计算视恒星时
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ra, dec := MarsApparentRaDec(TD2UT(utcJde, true))
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st := Limit360(ApparentSiderealTime(utcJde)*15 + lon)
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// 计算时角
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H := 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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}
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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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}
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return Azimuth
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}
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func MarsHourAngle(JD, Lon, TZ float64) float64 {
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startime := Limit360(ApparentSiderealTime(JD-TZ/24)*15 + Lon)
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timeangle := startime - MarsApparentRa(TD2UT(JD-TZ/24.0, 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 MarsCulminationTime(jde, lon, timezone float64) float64 {
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//jde 世界时，非力学时，当地时区 0时，无需转换力学时
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//ra,dec 瞬时天球座标，非J2000等时间天球坐标
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jde = math.Floor(jde) + 0.5
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JD1 := jde + Limit360(360-MarsHourAngle(jde, lon, timezone))/15.0/24.0*0.99726851851851851851
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limitHA := func(jde, lon, timezone float64) float64 {
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ha := MarsHourAngle(jde, lon, timezone)
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if ha < 180 {
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ha += 360
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}
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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 := limitHA(JD0, lon, timezone) - 360
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stDegreep := (limitHA(JD0+0.000005, lon, timezone) - limitHA(JD0-0.000005, 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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break
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}
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}
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return JD1
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}
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func MarsRiseTime(JD, Lon, Lat, TZ, ZS, HEI float64) float64 {
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return marsRiseDown(JD, Lon, Lat, TZ, ZS, HEI, true)
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}
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func MarsDownTime(JD, Lon, Lat, TZ, ZS, HEI float64) float64 {
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return marsRiseDown(JD, Lon, Lat, TZ, ZS, HEI, false)
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}
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func marsRiseDown(JD, Lon, Lat, TZ, ZS, HEI float64, isRise bool) float64 {
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var An float64
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JD = math.Floor(JD) + 0.5
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ntz := math.Round(Lon / 15)
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if ZS != 0 {
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An = -0.8333
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}
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An = An - HeightDegreeByLat(HEI, Lat)
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tztime := MarsCulminationTime(JD, Lon, ntz)
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if MarsHeight(tztime, Lon, Lat, ntz) < An {
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return -2 //极夜
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}
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if MarsHeight(tztime-0.5, Lon, Lat, ntz) > An {
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return -1 //极昼
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}
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dec := HSunApparentDec(TD2UT(tztime-ntz/24, true))
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//(sin(ho)-sin(φ)*sin(δ2))/(cos(φ)*cos(δ2))
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tmp := (Sin(An) - Sin(dec)*Sin(Lat)) / (Cos(dec) * Cos(Lat))
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var rise float64
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if math.Abs(tmp) <= 1 {
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rzsc := ArcCos(tmp) / 15
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if isRise {
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rise = tztime - rzsc/24 - 25.0/24.0/60.0
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} else {
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rise = tztime + rzsc/24 - 25.0/24.0/60.0
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}
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} else {
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rise = tztime
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i := 0
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//TODO:使用二分法计算
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for MarsHeight(rise, Lon, Lat, ntz) > An {
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i++
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if isRise {
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rise -= 15.0 / 60.0 / 24.0
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} else {
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rise += 15.0 / 60.0 / 24.0
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}
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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 := rise
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for {
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JD0 := JD1
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stDegree := MarsHeight(JD0, Lon, Lat, ntz) - An
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stDegreep := (MarsHeight(JD0+0.000005, Lon, Lat, ntz) - MarsHeight(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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// Pos
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const MARS_S_PERIOD = 1 / ((1 / 365.256363004) - (1 / 686.98))
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func marsConjunction(jde, degree float64, next uint8) float64 {
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//0=last 1=next
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decSub := func(jde float64, degree float64, filter bool) float64 {
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sub := Limit360(Limit360(MarsApparentLo(jde)-HSunApparentLo(jde)) - degree)
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if filter {
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if sub > 180 {
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sub -= 360
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}
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if sub < -180 {
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sub += 360
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}
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}
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return sub
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}
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dayCost := MARS_S_PERIOD / 360
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nowSub := decSub(jde, degree, false)
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if next == 0 {
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jde -= (360 - nowSub) * dayCost
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} else {
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jde += dayCost * nowSub
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}
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JD1 := jde
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for {
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JD0 := JD1
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stDegree := decSub(JD0, degree, true)
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stDegreep := (decSub(JD0+0.000005, degree, true) - decSub(JD0-0.000005, degree, true)) / 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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func LastMarsConjunction(jde float64) float64 {
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return marsConjunction(jde, 0, 0)
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}
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func NextMarsConjunction(jde float64) float64 {
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return marsConjunction(jde, 0, 1)
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}
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func LastMarsOpposition(jde float64) float64 {
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return marsConjunction(jde, 180, 0)
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}
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func NextMarsOpposition(jde float64) float64 {
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return marsConjunction(jde, 180, 1)
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}
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func NextMarsEasternQuadrature(jde float64) float64 {
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return marsConjunction(jde, 90, 1)
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}
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func LastMarsEasternQuadrature(jde float64) float64 {
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return marsConjunction(jde, 90, 0)
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}
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func NextMarsWesternQuadrature(jde float64) float64 {
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return marsConjunction(jde, 270, 1)
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}
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func LastMarsWesternQuadrature(jde float64) float64 {
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return marsConjunction(jde, 270, 0)
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}
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func marsRetrograde(jde float64, isLeft bool) float64 {
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//0=last 1=next
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decSub := func(jde float64, val float64) float64 {
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sub := MarsApparentRa(jde+val) - MarsApparentRa(jde-val)
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if sub > 180 {
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sub -= 360
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}
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if sub < -180 {
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sub += 360
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}
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return sub / (2 * val)
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}
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jde = NextMarsOpposition(jde)
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if isLeft {
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jde -= 60
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} else {
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jde += 60
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}
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for {
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nowSub := decSub(jde, 1.0/86400.0)
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if math.Abs(nowSub) > 0.55 {
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jde += 2
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continue
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}
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break
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}
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JD1 := jde
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for {
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JD0 := JD1
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stDegree := decSub(JD0, 2.0/86400.0)
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stDegreep := (decSub(JD0+15.0/86400.0, 2.0/86400.0) - decSub(JD0-15.0/86400.0, 2.0/86400.0)) / (30.0 / 86400.0)
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JD1 = JD0 - stDegree/stDegreep
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if math.Abs(JD1-JD0) <= 30.0/86400.0 {
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break
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}
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}
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JD1 = JD1 - 15.0/86400.0
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min := JD1
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minRa := 100.0
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for i := 0.0; i < 60.0; i++ {
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tmp := decSub(JD1+i*0.5/86400.0, 0.5/86400.0)
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if math.Abs(tmp) < math.Abs(minRa) {
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minRa = tmp
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min = JD1 + i*0.5/86400.0
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}
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}
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return TD2UT(min, false)
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}
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func NextMarsRetrogradeToPrograde(jde float64) float64 {
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date := marsRetrograde(jde, false)
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if date < jde {
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op := NextMarsOpposition(jde)
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return marsRetrograde(op+10, false)
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}
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return date
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}
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func LastMarsRetrogradeToPrograde(jde float64) float64 {
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jde = LastMarsOpposition(jde) - 10
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date := marsRetrograde(jde, false)
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if date > jde {
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op := LastMarsOpposition(jde)
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return marsRetrograde(op-10, false)
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}
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return date
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}
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func NextMarsProgradeToRetrograde(jde float64) float64 {
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date := marsRetrograde(jde, true)
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if date < jde {
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op := NextMarsOpposition(jde)
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return marsRetrograde(op+10, true)
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}
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return date
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}
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func LastMarsProgradeToRetrograde(jde float64) float64 {
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jde = LastMarsOpposition(jde) - 10
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date := marsRetrograde(jde, true)
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if date > jde {
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op := LastMarsOpposition(jde)
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return marsRetrograde(op-10, true)
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}
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return date
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}
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