package basic import ( "math" . "b612.me/astro/tools" ) // Pos const ( URANUS_S_PERIOD = 1 / ((1 / 365.256363004) - (1 / 30799.095)) uranusEventSearchN = 16 uranusPhaseCoarseTolerance = 30.0 / 86400.0 ) func uranusSunLongitudeDelta(jde, degree float64, filter bool) float64 { sub := Limit360(Limit360(UranusApparentLo(jde)-HSunApparentLo(jde)) - degree) if filter { if sub > 180 { sub -= 360 } if sub < -180 { sub += 360 } } return sub } func uranusSunLongitudeDeltaN(jde, degree float64, filter bool, n int) float64 { sub := Limit360(Limit360(UranusApparentLoN(jde, n)-HSunApparentLoN(jde, n)) - degree) if filter { if sub > 180 { sub -= 360 } if sub < -180 { sub += 360 } } return sub } func uranusConjunctionFull(jde, degree float64, next uint8) float64 { //0=last 1=next daysPerDegree := URANUS_S_PERIOD / 360 currentDelta := uranusSunLongitudeDelta(jde, degree, false) if next == 0 { jde -= (360 - currentDelta) * daysPerDegree } else { jde += daysPerDegree * currentDelta } estimateJD := jde for { prevJD := estimateJD longitudeDelta := uranusSunLongitudeDelta(prevJD, degree, true) longitudeSlope := (uranusSunLongitudeDelta(prevJD+0.000005, degree, true) - uranusSunLongitudeDelta(prevJD-0.000005, degree, true)) / 0.00001 estimateJD = prevJD - longitudeDelta/longitudeSlope if math.Abs(estimateJD-prevJD) <= 0.00001 { break } } return TD2UT(estimateJD, false) } func uranusConjunction(jde, degree float64, next uint8) float64 { //0=last 1=next daysPerDegree := URANUS_S_PERIOD / 360 currentDelta := uranusSunLongitudeDelta(jde, degree, false) if next == 0 { jde -= (360 - currentDelta) * daysPerDegree } else { jde += daysPerDegree * currentDelta } estimateJD := jde for { prevJD := estimateJD longitudeDelta := uranusSunLongitudeDeltaN(prevJD, degree, true, uranusEventSearchN) longitudeSlope := (uranusSunLongitudeDeltaN(prevJD+0.000005, degree, true, uranusEventSearchN) - uranusSunLongitudeDeltaN(prevJD-0.000005, degree, true, uranusEventSearchN)) / 0.00001 estimateJD = prevJD - longitudeDelta/longitudeSlope if math.Abs(estimateJD-prevJD) <= uranusPhaseCoarseTolerance { break } } for { prevJD := estimateJD longitudeDelta := uranusSunLongitudeDelta(prevJD, degree, true) longitudeSlope := (uranusSunLongitudeDelta(prevJD+0.000005, degree, true) - uranusSunLongitudeDelta(prevJD-0.000005, degree, true)) / 0.00001 estimateJD = prevJD - longitudeDelta/longitudeSlope if math.Abs(estimateJD-prevJD) <= 0.00001 { break } } return TD2UT(estimateJD, false) } func LastUranusConjunction(jde float64) float64 { return uranusConjunction(jde, 0, 0) } func NextUranusConjunction(jde float64) float64 { return uranusConjunction(jde, 0, 1) } func LastUranusOpposition(jde float64) float64 { return uranusConjunction(jde, 180, 0) } func NextUranusOpposition(jde float64) float64 { return uranusConjunction(jde, 180, 1) } func NextUranusEasternQuadrature(jde float64) float64 { return uranusConjunction(jde, 90, 1) } func LastUranusEasternQuadrature(jde float64) float64 { return uranusConjunction(jde, 90, 0) } func NextUranusWesternQuadrature(jde float64) float64 { return uranusConjunction(jde, 270, 1) } func LastUranusWesternQuadrature(jde float64) float64 { return uranusConjunction(jde, 270, 0) } func uranusRetrograde(jde float64, searchBeforeOpposition bool) float64 { //0=last 1=next raRate := func(jde float64, delta float64) float64 { sub := UranusApparentRa(jde+delta) - UranusApparentRa(jde-delta) if sub > 180 { sub -= 360 } if sub < -180 { sub += 360 } return sub / (2 * delta) } jde = uranusConjunctionFull(jde, 180, 1) if searchBeforeOpposition { jde -= 60 } else { jde += 60 } for { currentRate := raRate(jde, 1.0/86400.0) if math.Abs(currentRate) > 0.55 { jde += 2 continue } break } estimateJD := jde for { prevJD := estimateJD rateValue := raRate(prevJD, 2.0/86400.0) rateSlope := (raRate(prevJD+15.0/86400.0, 2.0/86400.0) - raRate(prevJD-15.0/86400.0, 2.0/86400.0)) / (30.0 / 86400.0) estimateJD = prevJD - rateValue/rateSlope if math.Abs(estimateJD-prevJD) <= 30.0/86400.0 { break } } bestJD := eventZeroRefine(estimateJD, 15.0/86400.0, 0.5/86400.0, func(jd float64) float64 { return raRate(jd, 0.5/86400.0) }) return TD2UT(bestJD, false) } func NextUranusRetrogradeToPrograde(jde float64) float64 { date := uranusRetrograde(jde, false) if date < jde { oppositionJD := uranusConjunctionFull(jde, 180, 1) return uranusRetrograde(oppositionJD+10, false) } return date } func LastUranusRetrogradeToPrograde(jde float64) float64 { jde = uranusConjunctionFull(jde, 180, 0) - 10 date := uranusRetrograde(jde, false) if date > jde { oppositionJD := uranusConjunctionFull(jde, 180, 0) return uranusRetrograde(oppositionJD-10, false) } return date } func NextUranusProgradeToRetrograde(jde float64) float64 { date := uranusRetrograde(jde, true) if date < jde { oppositionJD := uranusConjunctionFull(jde, 180, 1) return uranusRetrograde(oppositionJD+10, true) } return date } func LastUranusProgradeToRetrograde(jde float64) float64 { jde = uranusConjunctionFull(jde, 180, 0) - 10 date := uranusRetrograde(jde, true) if date > jde { oppositionJD := uranusConjunctionFull(jde, 180, 0) return uranusRetrograde(oppositionJD-10, true) } return date }