feat: 扩展天文计算能力
- 新增日食、月食、本地可见性、中心线、半影区域、SVG 图示与沙罗周期信息 - 新增行星冲合、留、方照、物理星历、视直径、相位、亮肢角、轨道节点等计算 - 新增木星伽利略卫星位置、现象与接触事件计算 - 新增恒星星表、星座判定、自行修正与观测辅助能力 - 新增 coord、formula、orbit、sundial、lite/sun、lite/moon 等扩展包 - 完善农历年号、月相英文别名、视差角、大气质量、折射、日晷与双星计算 - 增加 NASA、JPL Horizons、IMCCE 等回归测试数据与基线测试 - 重构基础算法文件组织,补充大量公开 API 注释和语义回归测试 - 更新中文和英文 README,补充示例、精度说明、SVG 配图
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package basic
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import (
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"math"
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. "b612.me/astro/tools"
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)
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// Pos
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const (
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URANUS_S_PERIOD = 1 / ((1 / 365.256363004) - (1 / 30799.095))
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uranusEventSearchN = 16
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uranusPhaseCoarseTolerance = 30.0 / 86400.0
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)
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func uranusSunLongitudeDelta(jde, degree float64, filter bool) float64 {
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sub := Limit360(Limit360(UranusApparentLo(jde)-HSunApparentLo(jde)) - degree)
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if filter {
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if sub > 180 {
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sub -= 360
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}
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if sub < -180 {
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sub += 360
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}
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}
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return sub
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}
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func uranusSunLongitudeDeltaN(jde, degree float64, filter bool, n int) float64 {
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sub := Limit360(Limit360(UranusApparentLoN(jde, n)-HSunApparentLoN(jde, n)) - degree)
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if filter {
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if sub > 180 {
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sub -= 360
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}
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if sub < -180 {
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sub += 360
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}
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}
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return sub
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}
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func uranusConjunctionFull(jde, degree float64, next uint8) float64 {
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//0=last 1=next
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daysPerDegree := URANUS_S_PERIOD / 360
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currentDelta := uranusSunLongitudeDelta(jde, degree, false)
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if next == 0 {
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jde -= (360 - currentDelta) * daysPerDegree
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} else {
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jde += daysPerDegree * currentDelta
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}
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estimateJD := jde
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for {
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prevJD := estimateJD
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longitudeDelta := uranusSunLongitudeDelta(prevJD, degree, true)
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longitudeSlope := (uranusSunLongitudeDelta(prevJD+0.000005, degree, true) - uranusSunLongitudeDelta(prevJD-0.000005, degree, true)) / 0.00001
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estimateJD = prevJD - longitudeDelta/longitudeSlope
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if math.Abs(estimateJD-prevJD) <= 0.00001 {
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break
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}
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}
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return TD2UT(estimateJD, false)
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}
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func uranusConjunction(jde, degree float64, next uint8) float64 {
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//0=last 1=next
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daysPerDegree := URANUS_S_PERIOD / 360
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currentDelta := uranusSunLongitudeDelta(jde, degree, false)
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if next == 0 {
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jde -= (360 - currentDelta) * daysPerDegree
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} else {
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jde += daysPerDegree * currentDelta
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}
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estimateJD := jde
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for {
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prevJD := estimateJD
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longitudeDelta := uranusSunLongitudeDeltaN(prevJD, degree, true, uranusEventSearchN)
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longitudeSlope := (uranusSunLongitudeDeltaN(prevJD+0.000005, degree, true, uranusEventSearchN) - uranusSunLongitudeDeltaN(prevJD-0.000005, degree, true, uranusEventSearchN)) / 0.00001
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estimateJD = prevJD - longitudeDelta/longitudeSlope
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if math.Abs(estimateJD-prevJD) <= uranusPhaseCoarseTolerance {
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break
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}
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}
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for {
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prevJD := estimateJD
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longitudeDelta := uranusSunLongitudeDelta(prevJD, degree, true)
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longitudeSlope := (uranusSunLongitudeDelta(prevJD+0.000005, degree, true) - uranusSunLongitudeDelta(prevJD-0.000005, degree, true)) / 0.00001
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estimateJD = prevJD - longitudeDelta/longitudeSlope
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if math.Abs(estimateJD-prevJD) <= 0.00001 {
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break
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}
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}
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return TD2UT(estimateJD, false)
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}
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func LastUranusConjunction(jde float64) float64 {
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return uranusConjunction(jde, 0, 0)
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}
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func NextUranusConjunction(jde float64) float64 {
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return uranusConjunction(jde, 0, 1)
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}
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func LastUranusOpposition(jde float64) float64 {
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return uranusConjunction(jde, 180, 0)
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}
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func NextUranusOpposition(jde float64) float64 {
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return uranusConjunction(jde, 180, 1)
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}
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func NextUranusEasternQuadrature(jde float64) float64 {
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return uranusConjunction(jde, 90, 1)
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}
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func LastUranusEasternQuadrature(jde float64) float64 {
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return uranusConjunction(jde, 90, 0)
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}
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func NextUranusWesternQuadrature(jde float64) float64 {
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return uranusConjunction(jde, 270, 1)
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}
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func LastUranusWesternQuadrature(jde float64) float64 {
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return uranusConjunction(jde, 270, 0)
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}
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func uranusRetrograde(jde float64, searchBeforeOpposition bool) float64 {
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//0=last 1=next
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raRate := func(jde float64, delta float64) float64 {
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sub := UranusApparentRa(jde+delta) - UranusApparentRa(jde-delta)
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if sub > 180 {
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sub -= 360
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}
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if sub < -180 {
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sub += 360
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}
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return sub / (2 * delta)
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}
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jde = uranusConjunctionFull(jde, 180, 1)
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if searchBeforeOpposition {
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jde -= 60
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} else {
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jde += 60
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}
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for {
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currentRate := raRate(jde, 1.0/86400.0)
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if math.Abs(currentRate) > 0.55 {
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jde += 2
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continue
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}
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break
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}
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estimateJD := jde
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for {
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prevJD := estimateJD
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rateValue := raRate(prevJD, 2.0/86400.0)
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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)
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estimateJD = prevJD - rateValue/rateSlope
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if math.Abs(estimateJD-prevJD) <= 30.0/86400.0 {
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break
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}
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}
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bestJD := eventZeroRefine(estimateJD, 15.0/86400.0, 0.5/86400.0, func(jd float64) float64 {
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return raRate(jd, 0.5/86400.0)
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})
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return TD2UT(bestJD, false)
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}
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func NextUranusRetrogradeToPrograde(jde float64) float64 {
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date := uranusRetrograde(jde, false)
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if date < jde {
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oppositionJD := uranusConjunctionFull(jde, 180, 1)
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return uranusRetrograde(oppositionJD+10, false)
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}
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return date
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}
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func LastUranusRetrogradeToPrograde(jde float64) float64 {
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jde = uranusConjunctionFull(jde, 180, 0) - 10
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date := uranusRetrograde(jde, false)
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if date > jde {
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oppositionJD := uranusConjunctionFull(jde, 180, 0)
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return uranusRetrograde(oppositionJD-10, false)
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}
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return date
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}
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func NextUranusProgradeToRetrograde(jde float64) float64 {
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date := uranusRetrograde(jde, true)
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if date < jde {
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oppositionJD := uranusConjunctionFull(jde, 180, 1)
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return uranusRetrograde(oppositionJD+10, true)
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}
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return date
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}
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func LastUranusProgradeToRetrograde(jde float64) float64 {
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jde = uranusConjunctionFull(jde, 180, 0) - 10
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date := uranusRetrograde(jde, true)
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if date > jde {
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oppositionJD := uranusConjunctionFull(jde, 180, 0)
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return uranusRetrograde(oppositionJD-10, true)
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}
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return date
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}
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