package basic import ( "math" . "b612.me/astro/tools" ) // Pos const ( JUPITER_S_PERIOD = 1 / ((1 / 365.256363004) - (1 / 4332.59)) jupiterEventSearchN = 16 jupiterPhaseCoarseTolerance = 30.0 / 86400.0 ) func jupiterSunLongitudeDelta(jde, degree float64, filter bool) float64 { sub := Limit360(Limit360(JupiterApparentLo(jde)-HSunApparentLo(jde)) - degree) if filter { if sub > 180 { sub -= 360 } if sub < -180 { sub += 360 } } return sub } func jupiterSunLongitudeDeltaN(jde, degree float64, filter bool, n int) float64 { sub := Limit360(Limit360(JupiterApparentLoN(jde, n)-HSunApparentLoN(jde, n)) - degree) if filter { if sub > 180 { sub -= 360 } if sub < -180 { sub += 360 } } return sub } func jupiterRADerivative(jde, delta float64) float64 { sub := JupiterApparentRa(jde+delta) - JupiterApparentRa(jde-delta) if sub > 180 { sub -= 360 } if sub < -180 { sub += 360 } return sub / (2 * delta) } func jupiterRADerivativeN(jde, delta float64, n int) float64 { sub := JupiterApparentRaN(jde+delta, n) - JupiterApparentRaN(jde-delta, n) if sub > 180 { sub -= 360 } if sub < -180 { sub += 360 } return sub / (2 * delta) } func jupiterConjunctionFull(jde, degree float64, next uint8) float64 { //0=last 1=next daysPerDegree := JUPITER_S_PERIOD / 360 currentDelta := jupiterSunLongitudeDelta(jde, degree, false) if next == 0 { jde -= (360 - currentDelta) * daysPerDegree } else { jde += daysPerDegree * currentDelta } estimateJD := jde for { prevJD := estimateJD longitudeDelta := jupiterSunLongitudeDelta(prevJD, degree, true) longitudeSlope := (jupiterSunLongitudeDelta(prevJD+0.000005, degree, true) - jupiterSunLongitudeDelta(prevJD-0.000005, degree, true)) / 0.00001 estimateJD = prevJD - longitudeDelta/longitudeSlope if math.Abs(estimateJD-prevJD) <= 0.00001 { break } } return TD2UT(estimateJD, false) } func jupiterConjunction(jde, degree float64, next uint8) float64 { //0=last 1=next daysPerDegree := JUPITER_S_PERIOD / 360 currentDelta := jupiterSunLongitudeDelta(jde, degree, false) if next == 0 { jde -= (360 - currentDelta) * daysPerDegree } else { jde += daysPerDegree * currentDelta } estimateJD := jde for { prevJD := estimateJD longitudeDelta := jupiterSunLongitudeDeltaN(prevJD, degree, true, jupiterEventSearchN) longitudeSlope := (jupiterSunLongitudeDeltaN(prevJD+0.000005, degree, true, jupiterEventSearchN) - jupiterSunLongitudeDeltaN(prevJD-0.000005, degree, true, jupiterEventSearchN)) / 0.00001 estimateJD = prevJD - longitudeDelta/longitudeSlope if math.Abs(estimateJD-prevJD) <= jupiterPhaseCoarseTolerance { break } } for { prevJD := estimateJD longitudeDelta := jupiterSunLongitudeDelta(prevJD, degree, true) longitudeSlope := (jupiterSunLongitudeDelta(prevJD+0.000005, degree, true) - jupiterSunLongitudeDelta(prevJD-0.000005, degree, true)) / 0.00001 estimateJD = prevJD - longitudeDelta/longitudeSlope if math.Abs(estimateJD-prevJD) <= 0.00001 { break } } return TD2UT(estimateJD, false) } func LastJupiterConjunction(jde float64) float64 { return inclusiveLastPhaseEvent(jde, 0, jupiterConjunction) } func NextJupiterConjunction(jde float64) float64 { return inclusiveNextPhaseEvent(jde, 0, jupiterConjunction) } func LastJupiterOpposition(jde float64) float64 { return inclusiveLastPhaseEvent(jde, 180, jupiterConjunction) } func NextJupiterOpposition(jde float64) float64 { return inclusiveNextPhaseEvent(jde, 180, jupiterConjunction) } func NextJupiterEasternQuadrature(jde float64) float64 { return inclusiveNextPhaseEvent(jde, 90, jupiterConjunction) } func LastJupiterEasternQuadrature(jde float64) float64 { return inclusiveLastPhaseEvent(jde, 90, jupiterConjunction) } func NextJupiterWesternQuadrature(jde float64) float64 { return inclusiveNextPhaseEvent(jde, 270, jupiterConjunction) } func LastJupiterWesternQuadrature(jde float64) float64 { return inclusiveLastPhaseEvent(jde, 270, jupiterConjunction) } func jupiterRetrogradeAroundOpposition(oppositionJD float64, searchBeforeOpposition bool) float64 { oppositionTT := TD2UT(oppositionJD, true) startTT := oppositionTT endTT := oppositionTT if searchBeforeOpposition { easternQuadratureUT := jupiterConjunction(oppositionTT, 90, 0) startTT = TD2UT(easternQuadratureUT, true) } else { westernQuadratureUT := jupiterConjunction(oppositionTT, 270, 1) endTT = TD2UT(westernQuadratureUT, true) } bestJD := zeroEventInWindow(startTT, endTT, 2.0, 2.0, 30.0/86400.0, func(jd float64) float64 { return jupiterRADerivativeN(jd, 1.0/86400.0, jupiterEventSearchN) }, func(jd float64) float64 { return jupiterRADerivative(jd, 0.5/86400.0) }) return TD2UT(bestJD, false) } func NextJupiterRetrogradeToPrograde(jde float64) float64 { lastOppositionJD := jupiterConjunctionFull(jde, 180, 0) date := jupiterRetrogradeAroundOpposition(lastOppositionJD, false) if sameEventUTQueryTT(date, jde) || eventUTQueryAfterOrEqual(date, jde) { return date } nextOppositionJD := jupiterConjunctionFull(jde, 180, 1) return jupiterRetrogradeAroundOpposition(nextOppositionJD, false) } func LastJupiterRetrogradeToPrograde(jde float64) float64 { lastOppositionJD := jupiterConjunctionFull(jde, 180, 0) date := jupiterRetrogradeAroundOpposition(lastOppositionJD, false) if sameEventUTQueryTT(date, jde) || eventUTQueryBeforeOrEqual(date, jde) { return date } previousOppositionJD := jupiterConjunctionFull(eventUTLastQueryTT(lastOppositionJD), 180, 0) return jupiterRetrogradeAroundOpposition(previousOppositionJD, false) } func NextJupiterProgradeToRetrograde(jde float64) float64 { nextOppositionJD := jupiterConjunctionFull(jde, 180, 1) date := jupiterRetrogradeAroundOpposition(nextOppositionJD, true) if sameEventUTQueryTT(date, jde) || eventUTQueryAfterOrEqual(date, jde) { return date } followingOppositionJD := jupiterConjunctionFull(eventUTNextQueryTT(nextOppositionJD), 180, 1) return jupiterRetrogradeAroundOpposition(followingOppositionJD, true) } func LastJupiterProgradeToRetrograde(jde float64) float64 { nextOppositionJD := jupiterConjunctionFull(jde, 180, 1) date := jupiterRetrogradeAroundOpposition(nextOppositionJD, true) if sameEventUTQueryTT(date, jde) || eventUTQueryBeforeOrEqual(date, jde) { return date } lastOppositionJD := jupiterConjunctionFull(jde, 180, 0) return jupiterRetrogradeAroundOpposition(lastOppositionJD, true) }