package basic import ( "math" . "b612.me/astro/tools" ) // Pos const ( NEPTUNE_S_PERIOD = 1 / ((1 / 365.256363004) - (1 / 60190.03)) neptuneEventSearchN = 16 neptunePhaseCoarseTolerance = 30.0 / 86400.0 ) func neptuneSunLongitudeDelta(jde, degree float64, filter bool) float64 { sub := Limit360(Limit360(NeptuneApparentLo(jde)-HSunApparentLo(jde)) - degree) if filter { if sub > 180 { sub -= 360 } if sub < -180 { sub += 360 } } return sub } func neptuneSunLongitudeDeltaN(jde, degree float64, filter bool, n int) float64 { sub := Limit360(Limit360(NeptuneApparentLoN(jde, n)-HSunApparentLoN(jde, n)) - degree) if filter { if sub > 180 { sub -= 360 } if sub < -180 { sub += 360 } } return sub } func neptuneRADerivative(jde, delta float64) float64 { sub := NeptuneApparentRa(jde+delta) - NeptuneApparentRa(jde-delta) if sub > 180 { sub -= 360 } if sub < -180 { sub += 360 } return sub / (2 * delta) } func neptuneRADerivativeN(jde, delta float64, n int) float64 { sub := NeptuneApparentRaN(jde+delta, n) - NeptuneApparentRaN(jde-delta, n) if sub > 180 { sub -= 360 } if sub < -180 { sub += 360 } return sub / (2 * delta) } func neptuneConjunctionFull(jde, degree float64, next uint8) float64 { //0=last 1=next daysPerDegree := NEPTUNE_S_PERIOD / 360 currentDelta := neptuneSunLongitudeDelta(jde, degree, false) if next == 0 { jde -= (360 - currentDelta) * daysPerDegree } else { jde += daysPerDegree * currentDelta } estimateJD := jde for { prevJD := estimateJD longitudeDelta := neptuneSunLongitudeDelta(prevJD, degree, true) longitudeSlope := (neptuneSunLongitudeDelta(prevJD+0.000005, degree, true) - neptuneSunLongitudeDelta(prevJD-0.000005, degree, true)) / 0.00001 estimateJD = prevJD - longitudeDelta/longitudeSlope if math.Abs(estimateJD-prevJD) <= 0.00001 { break } } return TD2UT(estimateJD, false) } func neptuneConjunction(jde, degree float64, next uint8) float64 { //0=last 1=next daysPerDegree := NEPTUNE_S_PERIOD / 360 currentDelta := neptuneSunLongitudeDelta(jde, degree, false) if next == 0 { jde -= (360 - currentDelta) * daysPerDegree } else { jde += daysPerDegree * currentDelta } estimateJD := jde for { prevJD := estimateJD longitudeDelta := neptuneSunLongitudeDeltaN(prevJD, degree, true, neptuneEventSearchN) longitudeSlope := (neptuneSunLongitudeDeltaN(prevJD+0.000005, degree, true, neptuneEventSearchN) - neptuneSunLongitudeDeltaN(prevJD-0.000005, degree, true, neptuneEventSearchN)) / 0.00001 estimateJD = prevJD - longitudeDelta/longitudeSlope if math.Abs(estimateJD-prevJD) <= neptunePhaseCoarseTolerance { break } } for { prevJD := estimateJD longitudeDelta := neptuneSunLongitudeDelta(prevJD, degree, true) longitudeSlope := (neptuneSunLongitudeDelta(prevJD+0.000005, degree, true) - neptuneSunLongitudeDelta(prevJD-0.000005, degree, true)) / 0.00001 estimateJD = prevJD - longitudeDelta/longitudeSlope if math.Abs(estimateJD-prevJD) <= 0.00001 { break } } return TD2UT(estimateJD, false) } func LastNeptuneConjunction(jde float64) float64 { return inclusiveLastPhaseEvent(jde, 0, neptuneConjunction) } func NextNeptuneConjunction(jde float64) float64 { return inclusiveNextPhaseEvent(jde, 0, neptuneConjunction) } func LastNeptuneOpposition(jde float64) float64 { return inclusiveLastPhaseEvent(jde, 180, neptuneConjunction) } func NextNeptuneOpposition(jde float64) float64 { return inclusiveNextPhaseEvent(jde, 180, neptuneConjunction) } func NextNeptuneEasternQuadrature(jde float64) float64 { return inclusiveNextPhaseEvent(jde, 90, neptuneConjunction) } func LastNeptuneEasternQuadrature(jde float64) float64 { return inclusiveLastPhaseEvent(jde, 90, neptuneConjunction) } func NextNeptuneWesternQuadrature(jde float64) float64 { return inclusiveNextPhaseEvent(jde, 270, neptuneConjunction) } func LastNeptuneWesternQuadrature(jde float64) float64 { return inclusiveLastPhaseEvent(jde, 270, neptuneConjunction) } func neptuneRetrogradeAroundOpposition(oppositionJD float64, searchBeforeOpposition bool) float64 { oppositionTT := TD2UT(oppositionJD, true) startTT := oppositionTT endTT := oppositionTT if searchBeforeOpposition { easternQuadratureUT := neptuneConjunction(oppositionTT, 90, 0) startTT = TD2UT(easternQuadratureUT, true) } else { westernQuadratureUT := neptuneConjunction(oppositionTT, 270, 1) endTT = TD2UT(westernQuadratureUT, true) } bestJD := zeroEventInWindow(startTT, endTT, 2.0, 2.0, 30.0/86400.0, func(jd float64) float64 { return neptuneRADerivativeN(jd, 1.0/86400.0, neptuneEventSearchN) }, func(jd float64) float64 { return neptuneRADerivative(jd, 0.5/86400.0) }) return TD2UT(bestJD, false) } func NextNeptuneRetrogradeToPrograde(jde float64) float64 { lastOppositionJD := neptuneConjunctionFull(jde, 180, 0) date := neptuneRetrogradeAroundOpposition(lastOppositionJD, false) if sameEventUTQueryTT(date, jde) || eventUTQueryAfterOrEqual(date, jde) { return date } nextOppositionJD := neptuneConjunctionFull(jde, 180, 1) return neptuneRetrogradeAroundOpposition(nextOppositionJD, false) } func LastNeptuneRetrogradeToPrograde(jde float64) float64 { lastOppositionJD := neptuneConjunctionFull(jde, 180, 0) date := neptuneRetrogradeAroundOpposition(lastOppositionJD, false) if sameEventUTQueryTT(date, jde) || eventUTQueryBeforeOrEqual(date, jde) { return date } previousOppositionJD := neptuneConjunctionFull(eventUTLastQueryTT(lastOppositionJD), 180, 0) return neptuneRetrogradeAroundOpposition(previousOppositionJD, false) } func NextNeptuneProgradeToRetrograde(jde float64) float64 { nextOppositionJD := neptuneConjunctionFull(jde, 180, 1) date := neptuneRetrogradeAroundOpposition(nextOppositionJD, true) if sameEventUTQueryTT(date, jde) || eventUTQueryAfterOrEqual(date, jde) { return date } followingOppositionJD := neptuneConjunctionFull(eventUTNextQueryTT(nextOppositionJD), 180, 1) return neptuneRetrogradeAroundOpposition(followingOppositionJD, true) } func LastNeptuneProgradeToRetrograde(jde float64) float64 { nextOppositionJD := neptuneConjunctionFull(jde, 180, 1) date := neptuneRetrogradeAroundOpposition(nextOppositionJD, true) if sameEventUTQueryTT(date, jde) || eventUTQueryBeforeOrEqual(date, jde) { return date } lastOppositionJD := neptuneConjunctionFull(jde, 180, 0) return neptuneRetrogradeAroundOpposition(lastOppositionJD, true) }