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feat: 新增月掩与日月食地理绘图并提升观测计算精度

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- 新增月掩恒星和行星：支持搜索、掩甚点、全球掩带及固定地点轨迹计算
- 支持恒星星表坐标转换、有限盘面行星接触事件和月掩 SVG 输出
- 新增日月食及月掩全球投影图、时间标记和 GeoJSON 地理数据接口
- 扩展日食中心线、南北界及偏食足迹采样，支持极区投影
- 修正站心时角、月出月落、月球视半径、折射和恒星自行计算
- 优化内外行星事件搜索、边界选择、极端输入处理和计算稳定性
This commit is contained in:
兔子
2026-08-06 12:00:56 +08:00
parent 25dc7ac0bc
commit 9ee2163cc7
137 changed files with 21770 additions and 1746 deletions
Download Patch File Download Diff File Expand all files Collapse all files
basic/mars_events.go
+66 -101
View File
@@ -9,9 +9,12 @@ import (
// Pos
const (
MARS_S_PERIOD = 1 / ((1 / 365.256363004) - (1 / 686.98))
marsEventSearchN = 16
marsPhaseCoarseTolerance = 30.0 / 86400.0
MARS_S_PERIOD = 1 / ((1 / 365.256363004) - (1 / 686.98))
marsEventSearchN = 16
marsPhaseCoarseTolerance = 30.0 / 86400.0
marsStationDerivativeStepDay = 0.01
marsStationCoarseStepDay = 6.0
marsStationHalfWindowDay = 6.0
)
func marsSunLongitudeDelta(jde, degree float64, filter bool) float64 {
@@ -64,6 +67,9 @@ func marsRADerivativeN(jde, val float64, n int) float64 {
func marsConjunctionFull(jde, degree float64, next uint8) float64 {
//0=last 1=next
if !isFiniteFloat(jde) || !isFiniteFloat(degree) {
return math.NaN()
}
daysPerDegree := MARS_S_PERIOD / 360
currentDelta := marsSunLongitudeDelta(jde, degree, false)
if next == 0 {
@@ -72,20 +78,29 @@ func marsConjunctionFull(jde, degree float64, next uint8) float64 {
jde += daysPerDegree * currentDelta
}
estimateJD := jde
for {
converged := false
for i := 0; i < eventNewtonMaxIterations; i++ {
prevJD := estimateJD
longitudeDelta := marsSunLongitudeDelta(prevJD, degree, true)
longitudeSlope := (marsSunLongitudeDelta(prevJD+0.000005, degree, true) - marsSunLongitudeDelta(prevJD-0.000005, degree, true)) / 0.00001
estimateJD = prevJD - longitudeDelta/longitudeSlope
if math.Abs(estimateJD-prevJD) <= 0.00001 {
nextJD := prevJD - longitudeDelta/longitudeSlope
estimateJD = nextJD
if math.Abs(nextJD-prevJD) <= 0.00001 {
converged = true
break
}
}
if !converged {
return math.NaN()
}
return TD2UT(estimateJD, false)
}
func marsConjunction(jde, degree float64, next uint8) float64 {
//0=last 1=next
if !isFiniteFloat(jde) || !isFiniteFloat(degree) {
return math.NaN()
}
daysPerDegree := MARS_S_PERIOD / 360
currentDelta := marsSunLongitudeDelta(jde, degree, false)
if next == 0 {
@@ -94,24 +109,36 @@ func marsConjunction(jde, degree float64, next uint8) float64 {
jde += daysPerDegree * currentDelta
}
estimateJD := jde
for {
converged := false
for i := 0; i < eventNewtonMaxIterations; i++ {
prevJD := estimateJD
longitudeDelta := marsSunLongitudeDeltaN(prevJD, degree, true, marsEventSearchN)
longitudeSlope := (marsSunLongitudeDeltaN(prevJD+0.000005, degree, true, marsEventSearchN) - marsSunLongitudeDeltaN(prevJD-0.000005, degree, true, marsEventSearchN)) / 0.00001
estimateJD = prevJD - longitudeDelta/longitudeSlope
if math.Abs(estimateJD-prevJD) <= marsPhaseCoarseTolerance {
nextJD := prevJD - longitudeDelta/longitudeSlope
estimateJD = nextJD
if math.Abs(nextJD-prevJD) <= marsPhaseCoarseTolerance {
converged = true
break
}
}
for {
if !converged {
return math.NaN()
}
converged = false
for i := 0; i < eventNewtonMaxIterations; i++ {
prevJD := estimateJD
longitudeDelta := marsSunLongitudeDelta(prevJD, degree, true)
longitudeSlope := (marsSunLongitudeDelta(prevJD+0.000005, degree, true) - marsSunLongitudeDelta(prevJD-0.000005, degree, true)) / 0.00001
estimateJD = prevJD - longitudeDelta/longitudeSlope
if math.Abs(estimateJD-prevJD) <= 0.00001 {
nextJD := prevJD - longitudeDelta/longitudeSlope
estimateJD = nextJD
if math.Abs(nextJD-prevJD) <= 0.00001 {
converged = true
break
}
}
if !converged {
return math.NaN()
}
return TD2UT(estimateJD, false)
}
@@ -148,122 +175,60 @@ func LastMarsWesternQuadrature(jde float64) float64 {
}
func marsRetrogradeAroundOpposition(oppositionJD float64, searchBeforeOpposition bool) float64 {
jde := oppositionJD
oppositionTT := TD2UT(oppositionJD, true)
startTT := oppositionTT
endTT := oppositionTT
if searchBeforeOpposition {
jde -= 60
easternQuadratureUT := marsConjunction(oppositionTT, 90, 0)
startTT = TD2UT(easternQuadratureUT, true)
} else {
jde += 60
westernQuadratureUT := marsConjunction(oppositionTT, 270, 1)
endTT = TD2UT(westernQuadratureUT, true)
}
for {
currentRate := marsRADerivative(jde, 1.0/86400.0)
if math.Abs(currentRate) > 0.55 {
jde += 2
continue
}
break
}
estimateJD := jde
for {
prevJD := estimateJD
rateValue := marsRADerivative(prevJD, 2.0/86400.0)
rateSlope := (marsRADerivative(prevJD+15.0/86400.0, 2.0/86400.0) - marsRADerivative(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 marsRADerivative(jd, 0.5/86400.0)
bestJD := zeroEventInWindow(startTT, endTT, marsStationCoarseStepDay, marsStationHalfWindowDay, 30.0/86400.0, func(jd float64) float64 {
return marsRADerivativeN(jd, marsStationDerivativeStepDay, marsEventSearchN)
}, func(jd float64) float64 {
return marsRADerivative(jd, marsStationDerivativeStepDay)
})
return TD2UT(bestJD, false)
}
func marsOppositionFromBefore(oppositionJD float64) float64 {
return marsConjunctionFull(eventUTLastQueryTT(oppositionJD), 180, 1)
}
func marsOppositionFromAfter(oppositionJD float64) float64 {
return marsConjunctionFull(eventUTNextQueryTT(oppositionJD), 180, 0)
}
func stabilizeMarsStationNearQuery(jde, date float64, searchBeforeOpposition bool) float64 {
if math.Abs(eventUTQueryTTDelta(date, jde)) > exactEventTolerance {
return date
}
if searchBeforeOpposition {
stableOppositionJD := NextMarsOpposition(jde)
sameOppositionJD := marsOppositionFromAfter(stableOppositionJD)
return closestEventUTToQueryTT(jde, date, marsRetrogradeAroundOpposition(stableOppositionJD, true), marsRetrogradeAroundOpposition(sameOppositionJD, true))
}
stableOppositionJD := LastMarsOpposition(jde)
sameOppositionJD := marsOppositionFromBefore(stableOppositionJD)
return closestEventUTToQueryTT(jde, date, marsRetrogradeAroundOpposition(stableOppositionJD, false), marsRetrogradeAroundOpposition(sameOppositionJD, false))
}
func NextMarsRetrogradeToPrograde(jde float64) float64 {
lastOppositionJD := marsConjunctionFull(jde, 180, 0)
date := marsRetrogradeAroundOpposition(lastOppositionJD, false)
date = stabilizeMarsStationNearQuery(jde, date, false)
if sameEventUTQueryTT(date, jde) {
stableOppositionJD := LastMarsOpposition(jde)
stableDate := marsRetrogradeAroundOpposition(stableOppositionJD, false)
sameOppositionJD := marsOppositionFromBefore(stableOppositionJD)
return closestEventUTToQueryTT(jde, date, stableDate, marsRetrogradeAroundOpposition(sameOppositionJD, false))
if sameEventUTQueryTT(date, jde) || eventUTQueryAfterOrEqual(date, jde) {
return date
}
if !eventUTQueryAfterOrEqual(date, jde) {
nextOppositionJD := marsConjunctionFull(jde, 180, 1)
return marsRetrogradeAroundOpposition(nextOppositionJD, false)
}
return date
nextOppositionJD := marsConjunctionFull(jde, 180, 1)
return marsRetrogradeAroundOpposition(nextOppositionJD, false)
}
func LastMarsRetrogradeToPrograde(jde float64) float64 {
lastOppositionJD := marsConjunctionFull(jde, 180, 0)
date := marsRetrogradeAroundOpposition(lastOppositionJD, false)
date = stabilizeMarsStationNearQuery(jde, date, false)
if sameEventUTQueryTT(date, jde) {
stableOppositionJD := LastMarsOpposition(jde)
stableDate := marsRetrogradeAroundOpposition(stableOppositionJD, false)
sameOppositionJD := marsOppositionFromBefore(stableOppositionJD)
return closestEventUTToQueryTT(jde, date, stableDate, marsRetrogradeAroundOpposition(sameOppositionJD, false))
if sameEventUTQueryTT(date, jde) || eventUTQueryBeforeOrEqual(date, jde) {
return date
}
if !eventUTQueryBeforeOrEqual(date, jde) {
previousOppositionJD := marsConjunctionFull(eventUTLastQueryTT(lastOppositionJD), 180, 0)
return marsRetrogradeAroundOpposition(previousOppositionJD, false)
}
return date
previousOppositionJD := marsConjunctionFull(eventUTLastQueryTT(lastOppositionJD), 180, 0)
return marsRetrogradeAroundOpposition(previousOppositionJD, false)
}
func NextMarsProgradeToRetrograde(jde float64) float64 {
nextOppositionJD := marsConjunctionFull(jde, 180, 1)
date := marsRetrogradeAroundOpposition(nextOppositionJD, true)
date = stabilizeMarsStationNearQuery(jde, date, true)
if sameEventUTQueryTT(date, jde) {
stableOppositionJD := NextMarsOpposition(jde)
stableDate := marsRetrogradeAroundOpposition(stableOppositionJD, true)
sameOppositionJD := marsOppositionFromAfter(stableOppositionJD)
return closestEventUTToQueryTT(jde, date, stableDate, marsRetrogradeAroundOpposition(sameOppositionJD, true))
if sameEventUTQueryTT(date, jde) || eventUTQueryAfterOrEqual(date, jde) {
return date
}
if !eventUTQueryAfterOrEqual(date, jde) {
followingOppositionJD := marsConjunctionFull(eventUTNextQueryTT(nextOppositionJD), 180, 1)
return marsRetrogradeAroundOpposition(followingOppositionJD, true)
}
return date
followingOppositionJD := marsConjunctionFull(eventUTNextQueryTT(nextOppositionJD), 180, 1)
return marsRetrogradeAroundOpposition(followingOppositionJD, true)
}
func LastMarsProgradeToRetrograde(jde float64) float64 {
nextOppositionJD := marsConjunctionFull(jde, 180, 1)
date := marsRetrogradeAroundOpposition(nextOppositionJD, true)
date = stabilizeMarsStationNearQuery(jde, date, true)
if sameEventUTQueryTT(date, jde) {
stableOppositionJD := NextMarsOpposition(jde)
stableDate := marsRetrogradeAroundOpposition(stableOppositionJD, true)
sameOppositionJD := marsOppositionFromAfter(stableOppositionJD)
return closestEventUTToQueryTT(jde, date, stableDate, marsRetrogradeAroundOpposition(sameOppositionJD, true))
if sameEventUTQueryTT(date, jde) || eventUTQueryBeforeOrEqual(date, jde) {
return date
}
if !eventUTQueryBeforeOrEqual(date, jde) {
lastOppositionJD := marsConjunctionFull(jde, 180, 0)
return marsRetrogradeAroundOpposition(lastOppositionJD, true)
}
return date
lastOppositionJD := marsConjunctionFull(jde, 180, 0)
return marsRetrogradeAroundOpposition(lastOppositionJD, true)
}