package basic import ( "math" "b612.me/astro/planet" . "b612.me/astro/tools" ) func SaturnL(jde float64) float64 { return planet.WherePlanet(5, 0, jde) } func SaturnB(jde float64) float64 { return planet.WherePlanet(5, 1, jde) } func SaturnR(jde float64) float64 { return planet.WherePlanet(5, 2, jde) } func ASaturnX(jde float64) float64 { l := SaturnL(jde) b := SaturnB(jde) r := SaturnR(jde) el := planet.WherePlanet(-1, 0, jde) eb := planet.WherePlanet(-1, 1, jde) er := planet.WherePlanet(-1, 2, jde) x := r*Cos(b)*Cos(l) - er*Cos(eb)*Cos(el) return x } func ASaturnY(jde float64) float64 { l := SaturnL(jde) b := SaturnB(jde) r := SaturnR(jde) el := planet.WherePlanet(-1, 0, jde) eb := planet.WherePlanet(-1, 1, jde) er := planet.WherePlanet(-1, 2, jde) y := r*Cos(b)*Sin(l) - er*Cos(eb)*Sin(el) return y } func ASaturnZ(jde float64) float64 { //l := SaturnL(jde) b := SaturnB(jde) r := SaturnR(jde) // el := planet.WherePlanet(-1, 0, jde) eb := planet.WherePlanet(-1, 1, jde) er := planet.WherePlanet(-1, 2, jde) z := r*Sin(b) - er*Sin(eb) return z } func ASaturnXYZ(jde float64) (float64, float64, float64) { l := SaturnL(jde) b := SaturnB(jde) r := SaturnR(jde) el := planet.WherePlanet(-1, 0, jde) eb := planet.WherePlanet(-1, 1, jde) er := planet.WherePlanet(-1, 2, jde) 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 SaturnApparentRa(jde float64) float64 { lo, bo := SaturnApparentLoBo(jde) eps := TrueObliquity(jde) ra := math.Atan2((Sin(lo)*Cos(eps) - Tan(bo)*Sin(eps)), Cos(lo)) ra = ra * 180 / math.Pi return Limit360(ra) } func SaturnApparentDec(jde float64) float64 { lo, bo := SaturnApparentLoBo(jde) eps := TrueObliquity(jde) dec := ArcSin(Sin(bo)*Cos(eps) + Cos(bo)*Sin(eps)*Sin(lo)) return dec } func SaturnApparentRaDec(jde float64) (float64, float64) { lo, bo := SaturnApparentLoBo(jde) eps := TrueObliquity(jde) ra := math.Atan2((Sin(lo)*Cos(eps) - Tan(bo)*Sin(eps)), Cos(lo)) ra = ra * 180 / math.Pi dec := ArcSin(Sin(bo)*Cos(eps) + Cos(bo)*Sin(eps)*Sin(lo)) return Limit360(ra), dec } func EarthSaturnAway(jd float64) float64 { return planetEarthAwayExplicitN(5, jd, -1) } func SaturnApparentLo(jd float64) float64 { geo, _ := planetApparentGeocentricPositionN(5, jd, -1) return geo.lo } func SaturnApparentBo(jd float64) float64 { geo, _ := planetApparentGeocentricPositionN(5, jd, -1) return geo.bo } func SaturnApparentLoBo(jd float64) (float64, float64) { geo, _ := planetApparentGeocentricPositionN(5, jd, -1) return geo.lo, geo.bo } func SaturnMag(jde float64) float64 { return SaturnMagN(jde, -1) } func SaturnHeight(localJD, lon, lat, timezone float64) float64 { // 转换为世界时 utcJD := localJD - timezone/24.0 // 计算视恒星时 ra, dec := SaturnApparentRaDec(UTC2TT(utcJD)) st := Limit360(ApparentSiderealTime(UTC2UT1(utcJD))*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 SaturnAzimuth(localJD, lon, lat, timezone float64) float64 { // 转换为世界时 utcJD := localJD - timezone/24.0 // 计算视恒星时 ra, dec := SaturnApparentRaDec(UTC2TT(utcJD)) st := Limit360(ApparentSiderealTime(UTC2UT1(utcJD))*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 SaturnHourAngle(jd, lon, timezone float64) float64 { siderealLongitude := Limit360(ApparentSiderealTime(UTC2UT1(jd-timezone/24))*15 + lon) hourAngle := siderealLongitude - SaturnApparentRa(UTC2TT(jd-timezone/24.0)) if hourAngle < 0 { hourAngle += 360 } return hourAngle } func SaturnCulminationTime(localJD, lon, timezone float64) float64 { // localJD 是本地民用日锚点(当地 0 时),不是力学时。 //ra,dec 瞬时天球座标,非J2000等时间天球坐标 localJD = math.Floor(localJD) + 0.5 estimateJD := localJD + Limit360(360-SaturnHourAngle(localJD, lon, timezone))/15.0/24.0*0.99726851851851851851 normalizedHourAngle := func(localJD, lon, timezone float64) float64 { currentHourAngle := SaturnHourAngle(localJD, lon, timezone) if currentHourAngle < 180 { currentHourAngle += 360 } return currentHourAngle } var ok bool estimateJD, ok = eventNewtonRefine(estimateJD, 0.00001, func(prevJD float64) float64 { hourAngleDelta := normalizedHourAngle(prevJD, lon, timezone) - 360 hourAngleSlope := (normalizedHourAngle(prevJD+0.000005, lon, timezone) - normalizedHourAngle(prevJD-0.000005, lon, timezone)) / 0.00001 return hourAngleDelta / hourAngleSlope }) if !ok { return math.NaN() } return estimateJD } func SaturnRiseTime(jd, lon, lat, timezone, aeroCorrection, observerHeight float64) (float64, error) { return saturnRiseDown(jd, lon, lat, timezone, aeroCorrection, observerHeight, true) } func SaturnSetTime(jd, lon, lat, timezone, aeroCorrection, observerHeight float64) (float64, error) { return saturnRiseDown(jd, lon, lat, timezone, aeroCorrection, observerHeight, false) } func saturnRiseDown(jd, lon, lat, timezone, aeroCorrection, observerHeight float64, isRise bool) (float64, error) { return planetRiseDown(jd, lon, lat, timezone, aeroCorrection, observerHeight, isRise, SaturnCulminationTime, SaturnHeight, SaturnApparentDec) }