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 uranusRADerivative(jde, delta float64) float64 { sub := UranusApparentRa(jde+delta) - UranusApparentRa(jde-delta) if sub > 180 { sub -= 360 } if sub < -180 { sub += 360 } return sub / (2 * delta) } func uranusRADerivativeN(jde, delta float64, n int) float64 { sub := UranusApparentRaN(jde+delta, n) - UranusApparentRaN(jde-delta, n) if sub > 180 { sub -= 360 } if sub < -180 { sub += 360 } return sub / (2 * delta) } 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 inclusiveLastPhaseEvent(jde, 0, uranusConjunction) } func NextUranusConjunction(jde float64) float64 { return inclusiveNextPhaseEvent(jde, 0, uranusConjunction) } func LastUranusOpposition(jde float64) float64 { return inclusiveLastPhaseEvent(jde, 180, uranusConjunction) } func NextUranusOpposition(jde float64) float64 { return inclusiveNextPhaseEvent(jde, 180, uranusConjunction) } func NextUranusEasternQuadrature(jde float64) float64 { return inclusiveNextPhaseEvent(jde, 90, uranusConjunction) } func LastUranusEasternQuadrature(jde float64) float64 { return inclusiveLastPhaseEvent(jde, 90, uranusConjunction) } func NextUranusWesternQuadrature(jde float64) float64 { return inclusiveNextPhaseEvent(jde, 270, uranusConjunction) } func LastUranusWesternQuadrature(jde float64) float64 { return inclusiveLastPhaseEvent(jde, 270, uranusConjunction) } func uranusRetrogradeAroundOpposition(oppositionJD float64, searchBeforeOpposition bool) float64 { oppositionTT := TD2UT(oppositionJD, true) startTT := oppositionTT endTT := oppositionTT if searchBeforeOpposition { easternQuadratureUT := uranusConjunction(oppositionTT, 90, 0) startTT = TD2UT(easternQuadratureUT, true) } else { westernQuadratureUT := uranusConjunction(oppositionTT, 270, 1) endTT = TD2UT(westernQuadratureUT, true) } bestJD := zeroEventInWindow(startTT, endTT, 2.0, 2.0, 30.0/86400.0, func(jd float64) float64 { return uranusRADerivativeN(jd, 1.0/86400.0, uranusEventSearchN) }, func(jd float64) float64 { return uranusRADerivative(jd, 0.5/86400.0) }) return TD2UT(bestJD, false) } func NextUranusRetrogradeToPrograde(jde float64) float64 { lastOppositionJD := uranusConjunctionFull(jde, 180, 0) date := uranusRetrogradeAroundOpposition(lastOppositionJD, false) if sameEventUTQueryTT(date, jde) || eventUTQueryAfterOrEqual(date, jde) { return date } nextOppositionJD := uranusConjunctionFull(jde, 180, 1) return uranusRetrogradeAroundOpposition(nextOppositionJD, false) } func LastUranusRetrogradeToPrograde(jde float64) float64 { lastOppositionJD := uranusConjunctionFull(jde, 180, 0) date := uranusRetrogradeAroundOpposition(lastOppositionJD, false) if sameEventUTQueryTT(date, jde) || eventUTQueryBeforeOrEqual(date, jde) { return date } previousOppositionJD := uranusConjunctionFull(eventUTLastQueryTT(lastOppositionJD), 180, 0) return uranusRetrogradeAroundOpposition(previousOppositionJD, false) } func NextUranusProgradeToRetrograde(jde float64) float64 { nextOppositionJD := uranusConjunctionFull(jde, 180, 1) date := uranusRetrogradeAroundOpposition(nextOppositionJD, true) if sameEventUTQueryTT(date, jde) || eventUTQueryAfterOrEqual(date, jde) { return date } followingOppositionJD := uranusConjunctionFull(eventUTNextQueryTT(nextOppositionJD), 180, 1) return uranusRetrogradeAroundOpposition(followingOppositionJD, true) } func LastUranusProgradeToRetrograde(jde float64) float64 { nextOppositionJD := uranusConjunctionFull(jde, 180, 1) date := uranusRetrogradeAroundOpposition(nextOppositionJD, true) if sameEventUTQueryTT(date, jde) || eventUTQueryBeforeOrEqual(date, jde) { return date } lastOppositionJD := uranusConjunctionFull(jde, 180, 0) return uranusRetrogradeAroundOpposition(lastOppositionJD, true) }