package basic import ( "math" "b612.me/astro/planet" . "b612.me/astro/tools" ) func MercuryL(jd float64) float64 { return planet.WherePlanet(1, 0, jd) } func MercuryB(jd float64) float64 { return planet.WherePlanet(1, 1, jd) } func MercuryR(jd float64) float64 { return planet.WherePlanet(1, 2, jd) } func AMercuryX(jd float64) float64 { l := MercuryL(jd) b := MercuryB(jd) r := MercuryR(jd) el := planet.WherePlanet(-1, 0, jd) eb := planet.WherePlanet(-1, 1, jd) er := planet.WherePlanet(-1, 2, jd) x := r*Cos(b)*Cos(l) - er*Cos(eb)*Cos(el) return x } func AMercuryY(jd float64) float64 { l := MercuryL(jd) b := MercuryB(jd) r := MercuryR(jd) el := planet.WherePlanet(-1, 0, jd) eb := planet.WherePlanet(-1, 1, jd) er := planet.WherePlanet(-1, 2, jd) y := r*Cos(b)*Sin(l) - er*Cos(eb)*Sin(el) return y } func AMercuryZ(jd float64) float64 { //l := MercuryL(jd) b := MercuryB(jd) r := MercuryR(jd) // el := planet.WherePlanet(-1, 0, jd) eb := planet.WherePlanet(-1, 1, jd) er := planet.WherePlanet(-1, 2, jd) z := r*Sin(b) - er*Sin(eb) return z } func AMercuryXYZ(jd float64) (float64, float64, float64) { l := MercuryL(jd) b := MercuryB(jd) r := MercuryR(jd) el := planet.WherePlanet(-1, 0, jd) eb := planet.WherePlanet(-1, 1, jd) er := planet.WherePlanet(-1, 2, jd) x := r*Cos(b)*Cos(l) - er*Cos(eb)*Cos(el) y := r*Cos(b)*Sin(l) - er*Cos(eb)*Sin(el) z := r*Sin(b) - er*Sin(eb) return x, y, z } func MercuryApparentRa(jd float64) float64 { lo, bo := MercuryApparentLoBo(jd) return LoToRa(jd, lo, bo) } func MercuryApparentDec(jd float64) float64 { lo, bo := MercuryApparentLoBo(jd) eps := TrueObliquity(jd) dec := ArcSin(Sin(bo)*Cos(eps) + Cos(bo)*Sin(eps)*Sin(lo)) return dec } func MercuryApparentRaDec(jd float64) (float64, float64) { lo, bo := MercuryApparentLoBo(jd) return LoBoToRaDec(jd, lo, bo) } func EarthMercuryAway(jd float64) float64 { x, y, z := AMercuryXYZ(jd) to := math.Sqrt(x*x + y*y + z*z) return to } func MercuryApparentLo(jd float64) float64 { x, y, z := AMercuryXYZ(jd) to := 0.0057755183 * math.Sqrt(x*x+y*y+z*z) x, y, z = AMercuryXYZ(jd - to) lo := math.Atan2(y, x) bo := math.Atan2(z, math.Sqrt(x*x+y*y)) lo = lo * 180 / math.Pi bo = bo * 180 / math.Pi lo = Limit360(lo) //lo-=GXCLo(lo,bo,jd)/3600; //bo+=GXCBo(lo,bo,jd); lo += Nutation2000Bi(jd) return lo } func MercuryApparentBo(jd float64) float64 { x, y, z := AMercuryXYZ(jd) to := 0.0057755183 * math.Sqrt(x*x+y*y+z*z) x, y, z = AMercuryXYZ(jd - to) //lo := math.Atan2(y, x) bo := math.Atan2(z, math.Sqrt(x*x+y*y)) //lo = lo * 180 / math.Pi bo = bo * 180 / math.Pi //lo+=GXCLo(lo,bo,jd); //bo+=GXCBo(lo,bo,jd)/3600; //lo+=Nutation2000Bi(jd); return bo } func MercuryApparentLoBo(jd float64) (float64, float64) { x, y, z := AMercuryXYZ(jd) to := 0.0057755183 * math.Sqrt(x*x+y*y+z*z) x, y, z = AMercuryXYZ(jd - to) lo := math.Atan2(y, x) bo := math.Atan2(z, math.Sqrt(x*x+y*y)) lo = lo * 180 / math.Pi bo = bo * 180 / math.Pi lo = Limit360(lo) + Nutation2000Bi(jd) //lo-=GXCLo(lo,bo,jd)/3600; //bo+=GXCBo(lo,bo,jd); return lo, bo } func MercuryMag(jd float64) float64 { sunDistance := MercuryR(jd) earthDistance := EarthMercuryAway(jd) earthSunDistance := planet.WherePlanet(-1, 2, jd) i := (sunDistance*sunDistance + earthDistance*earthDistance - earthSunDistance*earthSunDistance) / (2 * sunDistance * earthDistance) i = ArcCos(i) mag := -0.42 + 5*math.Log10(sunDistance*earthDistance) + 0.0380*i - 0.000273*i*i + 0.000002*i*i*i return FloatRound(mag, 2) } func MercuryHeight(jde, lon, lat, timezone float64) float64 { // 转换为世界时 utcJde := jde - timezone/24.0 // 计算视恒星时 ra, dec := MercuryApparentRaDec(TD2UT(utcJde, true)) st := Limit360(ApparentSiderealTime(utcJde)*15 + lon) // 计算时角 hourAngle := Limit360(st - ra) // 高度角、时角与天球座标三角转换公式 // sin(h)=sin(lat)*sin(dec)+cos(dec)*cos(lat)*cos(hourAngle) sinHeight := Sin(lat)*Sin(dec) + Cos(dec)*Cos(lat)*Cos(hourAngle) return ArcSin(sinHeight) } func MercuryAzimuth(jde, lon, lat, timezone float64) float64 { // 转换为世界时 utcJde := jde - timezone/24.0 // 计算视恒星时 ra, dec := MercuryApparentRaDec(TD2UT(utcJde, true)) st := Limit360(ApparentSiderealTime(utcJde)*15 + lon) // 计算时角 hourAngle := Limit360(st - ra) // 三角转换公式 tanAzimuth := Sin(hourAngle) / (Cos(hourAngle)*Sin(lat) - Tan(dec)*Cos(lat)) azimuth := ArcTan(tanAzimuth) if azimuth < 0 { if hourAngle/15 < 12 { return azimuth + 360 } return azimuth + 180 } if hourAngle/15 < 12 { return azimuth + 180 } return azimuth } func MercuryHourAngle(jd, lon, timezone float64) float64 { siderealLongitude := Limit360(ApparentSiderealTime(jd-timezone/24)*15 + lon) hourAngle := siderealLongitude - MercuryApparentRa(TD2UT(jd-timezone/24.0, true)) if hourAngle < 0 { hourAngle += 360 } return hourAngle } func MercuryCulminationTime(jde, lon, timezone float64) float64 { //jde 世界时,非力学时,当地时区 0时,无需转换力学时 //ra,dec 瞬时天球座标,非J2000等时间天球坐标 jde = math.Floor(jde) + 0.5 estimateJD := jde + Limit360(360-MercuryHourAngle(jde, lon, timezone))/15.0/24.0*0.99726851851851851851 normalizedHourAngle := func(jde, lon, timezone float64) float64 { currentHourAngle := MercuryHourAngle(jde, lon, timezone) if currentHourAngle < 180 { currentHourAngle += 360 } return currentHourAngle } for { prevJD := estimateJD hourAngleDelta := normalizedHourAngle(prevJD, lon, timezone) - 360 hourAngleSlope := (normalizedHourAngle(prevJD+0.000005, lon, timezone) - normalizedHourAngle(prevJD-0.000005, lon, timezone)) / 0.00001 estimateJD = prevJD - hourAngleDelta/hourAngleSlope if math.Abs(estimateJD-prevJD) <= 0.00001 { break } } return estimateJD } func MercuryRiseTime(jd, lon, lat, timezone, aeroCorrection, observerHeight float64) (float64, error) { return mercuryRiseDown(jd, lon, lat, timezone, aeroCorrection, observerHeight, true) } func MercurySetTime(jd, lon, lat, timezone, aeroCorrection, observerHeight float64) (float64, error) { return mercuryRiseDown(jd, lon, lat, timezone, aeroCorrection, observerHeight, false) } func mercuryRiseDown(jd, lon, lat, timezone, aeroCorrection, observerHeight float64, isRise bool) (float64, error) { return planetRiseDown(jd, lon, lat, timezone, aeroCorrection, observerHeight, isRise, MercuryCulminationTime, MercuryHeight, MercuryApparentDec) }