feat: 完善水星与金星全球凌日搜索及制图导出
- 基于平均下合周期与节点相位预筛候选，减少无效星历计算；跳过无法求解的单个会合周期，避免有限覆盖星历导致搜索提前终止 - 引入影轴 γ、半影半径及地球尺度几何判定，结合站心可见性识别地心无接触、仅部分地区可见的掠凌 - 添加金星 243 年、水星 46 年周期族编号，并明确编号适用范围及未分配时的零值语义 - 为 SVG、GeoJSON 和 KML 增加站心部分凌日可见区，适配接触等时线、几何元数据、图层样式及取景；为地心无接触凌日事件增加正射图，按可见区球面面积加权居中
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@@ -7,20 +7,17 @@ import (
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)
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const (
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planetTransitMeanSolarMotionDegPerDay = 360.0 / 365.2422
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planetTransitTropicalYearDays = 365.2422
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planetTransitSeasonProbeStepDays = 20.0
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planetTransitSearchLimit = 2400
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planetTransitSearchEpsilonDays = 1.0 / 86400.0
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planetTransitGreatestWindowDays = 1.2
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planetTransitGreatestToleranceDays = 0.25 / 86400.0
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planetTransitContactStepDays = 0.02
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planetTransitContactSpanDays = 1.0
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planetTransitContactToleranceDays = 0.25 / 86400.0
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planetTransitCoarseN = 16
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planetTransitSearchLimit = 2400
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planetTransitSearchEpsilonDays = 1.0 / 86400.0
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planetTransitGreatestWindowDays = 1.2
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planetTransitGreatestToleranceDays = 0.25 / 86400.0
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planetTransitContactStepDays = 0.02
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planetTransitContactSpanDays = 1.0
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planetTransitContactToleranceDays = 0.25 / 86400.0
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planetTransitCoarseN = 16
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)
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// PlanetTransitResult 表示一次地心行星凌日结果。
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// PlanetTransitResult 全球行星凌日与地心接触 / global planetary transit and geocentric contacts.
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//
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// Valid 为 false 时表示没有找到有效凌日。所有时刻字段均为 UT 儒略日。
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// MinimumSeparationArcsec、SunSemidiameterArcsec、PlanetSemidiameterArcsec 的单位均为角秒。
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@@ -45,6 +42,15 @@ type PlanetTransitResult struct {
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HasExternal bool
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HasInternal bool
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// WindowStart、WindowEnd 是站心求解窗口，不是接触时刻。
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WindowStart float64
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WindowEnd float64
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// Gamma 是凌甚时影轴到地心的有符号距离，以地球赤道半径为单位，北侧为正。
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Gamma float64
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// PenumbralRadius 是地心基本面上的半影半径，以地球赤道半径为单位。
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PenumbralRadius float64
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Series PlanetTransitSeries
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}
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type planetTransitConfig struct {
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@@ -53,7 +59,6 @@ type planetTransitConfig struct {
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synodicPeriodDays float64
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anchorInferiorTT float64
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seasonWindowDays float64
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latitudePrefilter float64
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conjunctionStepDay float64
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@@ -62,7 +67,6 @@ type planetTransitConfig struct {
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apparentRaDecN func(float64, int) (float64, float64)
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semidiameterN func(float64, int) float64
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earthDistanceN func(float64, int) float64
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nodeN func(float64, int) float64
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}
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type planetTransitState struct {
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@@ -82,7 +86,6 @@ func mercuryTransitConfig(instances ...*Instance) planetTransitConfig {
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planetIndex: 1,
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synodicPeriodDays: MERCURY_S_PERIOD,
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anchorInferiorTT: UTC2TT(JDCalc(2019, 11, 11+(15+21.0/60+40.0/3600)/24)),
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seasonWindowDays: 12,
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latitudePrefilter: 1.0,
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conjunctionStepDay: 0.00001,
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apparentLoN: func(jd float64, n int) float64 { return MercuryApparentLoNWithInstance(jd, n, inst) },
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@@ -90,7 +93,6 @@ func mercuryTransitConfig(instances ...*Instance) planetTransitConfig {
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apparentRaDecN: func(jde float64, n int) (float64, float64) { return MercuryApparentRaDecNWithInstance(jde, n, inst) },
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semidiameterN: func(jde float64, n int) float64 { return MercurySemidiameterNWithInstance(jde, n, inst) },
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earthDistanceN: func(jd float64, n int) float64 { return EarthMercuryAwayNWithInstance(jd, n, inst) },
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nodeN: func(jd float64, n int) float64 { return MercuryAscendingNodeNWithInstance(jd, n, inst) },
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}
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}
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@@ -101,7 +103,6 @@ func venusTransitConfig(instances ...*Instance) planetTransitConfig {
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planetIndex: 2,
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synodicPeriodDays: VENUS_S_PERIOD,
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anchorInferiorTT: UTC2TT(JDCalc(2012, 6, 6+(1+29.0/60)/24)),
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seasonWindowDays: 8,
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latitudePrefilter: 0.8,
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conjunctionStepDay: 0.00001,
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apparentLoN: func(jd float64, n int) float64 { return VenusApparentLoNWithInstance(jd, n, inst) },
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@@ -109,7 +110,6 @@ func venusTransitConfig(instances ...*Instance) planetTransitConfig {
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apparentRaDecN: func(jd float64, n int) (float64, float64) { return VenusApparentRaDecNWithInstance(jd, n, inst) },
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semidiameterN: func(jde float64, n int) float64 { return VenusSemidiameterNWithInstance(jde, n, inst) },
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earthDistanceN: func(jd float64, n int) float64 { return EarthVenusAwayNWithInstance(jd, n, inst) },
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nodeN: func(jd float64, n int) float64 { return VenusAscendingNodeNWithInstance(jd, n, inst) },
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}
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}
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@@ -174,18 +174,24 @@ func searchPlanetTransit(jd float64, cfg planetTransitConfig, direction int, inc
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}
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targetTT := UTC2TT(jd)
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// 节点季可能略早于查询时刻而凌甚仍在其后，从一个季窗之前起探，方向由凌甚时刻再判。
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probeTT := targetTT - float64(direction)*cfg.seasonWindowDays
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if !isFiniteFloat(targetTT) {
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return PlanetTransitResult{}, false
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}
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cycle := math.Floor((targetTT-cfg.anchorInferiorTT)/cfg.synodicPeriodDays) - 1
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if direction < 0 {
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cycle += 3
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}
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for i := 0; i < planetTransitSearchLimit; i++ {
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seasonTT, ok := nextPlanetTransitSeasonTT(probeTT, cfg, direction, inst)
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if !ok {
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return PlanetTransitResult{}, false
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}
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seedTT := nearestPlanetTransitInferiorSeedTT(seasonTT, cfg)
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if math.Abs(seedTT-seasonTT) <= cfg.seasonWindowDays {
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conjunctionTT := refinePlanetTransitInferiorConjunctionTT(seedTT, cfg, inst)
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if math.Abs(conjunctionTT-seasonTT) <= cfg.seasonWindowDays+1 && isPotentialPlanetTransit(conjunctionTT, cfg, inst) {
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seedTT := cfg.anchorInferiorTT + cycle*cfg.synodicPeriodDays
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if planetTransitPredictedSeason(seedTT, cfg, inst) {
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// 单个会合周算不出粗时刻（例如候选落在有限覆盖星历之外）时跳过该周，后面的周期仍可能落在覆盖内。
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coarseTT := planetTransitCoarseConjunction(seedTT, cfg, inst)
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if !isFiniteFloat(coarseTT) {
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cycle += float64(direction)
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continue
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}
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if isPotentialPlanetTransit(coarseTT, cfg, inst) {
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conjunctionTT := refinePlanetTransitInferiorConjunctionTT(coarseTT, cfg, inst)
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resultTT, ok := planetTransitAtInferiorConjunctionTT(conjunctionTT, cfg, inst)
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if ok && planetTransitMatchesDirection(resultTT.Greatest, targetTT, direction, includeCurrent) {
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return planetTransitResultTTToUT(resultTT), true
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@@ -193,102 +199,12 @@ func searchPlanetTransit(jd float64, cfg planetTransitConfig, direction int, inc
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}
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}
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probeTT = seasonTT + float64(direction)*planetTransitSeasonProbeStepDays
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cycle += float64(direction)
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}
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return PlanetTransitResult{}, false
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}
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func nextPlanetTransitSeasonTT(jdTT float64, cfg planetTransitConfig, direction int, instances ...*Instance) (float64, bool) {
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inst := instanceValue(instances)
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best := math.NaN()
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for nodeOffset := 0; nodeOffset <= 1; nodeOffset++ {
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candidate := estimatePlanetTransitSeasonTT(jdTT, cfg, nodeOffset, direction, inst)
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candidate = refinePlanetTransitSeasonTT(candidate, cfg, nodeOffset, inst)
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if !isFiniteFloat(candidate) {
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continue
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}
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matchedDirection := false
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for i := 0; i < eventDirectionalSearchIterations; i++ {
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if planetTransitMatchesDirection(candidate, jdTT, direction, false) {
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matchedDirection = true
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break
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}
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candidate += float64(direction) * planetTransitTropicalYearDays
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candidate = refinePlanetTransitSeasonTT(candidate, cfg, nodeOffset, inst)
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if !isFiniteFloat(candidate) {
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break
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}
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}
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if !matchedDirection {
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continue
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}
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if !isFiniteFloat(best) || math.Abs(candidate-jdTT) < math.Abs(best-jdTT) {
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best = candidate
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}
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}
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if !isFiniteFloat(best) {
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return 0, false
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}
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return best, true
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}
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func estimatePlanetTransitSeasonTT(jdTT float64, cfg planetTransitConfig, nodeOffset int, direction int, instances ...*Instance) float64 {
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inst := instanceValue(instances)
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sunLongitude := HSunApparentLoNWithInstance(jdTT, planetTransitCoarseN, inst)
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nodeLongitude := planetTransitNodeLongitude(jdTT, cfg, nodeOffset, planetTransitCoarseN)
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if direction > 0 {
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delta := Limit360(nodeLongitude - sunLongitude)
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if delta <= planetTransitSearchEpsilonDays {
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delta += 360
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}
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return jdTT + delta/planetTransitMeanSolarMotionDegPerDay
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}
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delta := Limit360(sunLongitude - nodeLongitude)
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if delta <= planetTransitSearchEpsilonDays {
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delta += 360
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}
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return jdTT - delta/planetTransitMeanSolarMotionDegPerDay
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}
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func refinePlanetTransitSeasonTT(seedTT float64, cfg planetTransitConfig, nodeOffset int, instances ...*Instance) float64 {
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inst := instanceValue(instances)
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current := seedTT
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for i := 0; i < 8; i++ {
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prev := current
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value := planetTransitSunNodeLongitudeDelta(prev, cfg, nodeOffset, inst)
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slope := (planetTransitSunNodeLongitudeDelta(prev+0.5, cfg, nodeOffset, inst) -
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planetTransitSunNodeLongitudeDelta(prev-0.5, cfg, nodeOffset, inst)) / 1.0
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if slope == 0 || !isFiniteFloat(slope) {
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break
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}
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current = prev - value/slope
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if math.Abs(current-prev) <= 0.00001 {
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break
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}
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}
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return current
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}
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func planetTransitSunNodeLongitudeDelta(jdTT float64, cfg planetTransitConfig, nodeOffset int, instances ...*Instance) float64 {
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inst := instanceValue(instances)
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return planetTransitAngleDelta(HSunApparentLoNWithInstance(jdTT, planetTransitCoarseN, inst) -
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planetTransitNodeLongitude(jdTT, cfg, nodeOffset, planetTransitCoarseN))
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}
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func planetTransitNodeLongitude(jdTT float64, cfg planetTransitConfig, nodeOffset int, n int) float64 {
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return Limit360(cfg.nodeN(jdTT, n) + float64(nodeOffset)*180)
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}
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func nearestPlanetTransitInferiorSeedTT(seasonTT float64, cfg planetTransitConfig) float64 {
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k := math.Round((seasonTT - cfg.anchorInferiorTT) / cfg.synodicPeriodDays)
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return cfg.anchorInferiorTT + k*cfg.synodicPeriodDays
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}
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func refinePlanetTransitInferiorConjunctionTT(seedTT float64, cfg planetTransitConfig, instances ...*Instance) float64 {
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inst := instanceValue(instances)
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@@ -342,7 +258,11 @@ func planetTransitAtInferiorConjunctionTT(conjunctionTT float64, cfg planetTrans
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greatestTT := greatestPlanetTransitTT(conjunctionTT, cfg, inst)
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greatestState := planetTransitStateAt(greatestTT, cfg, -1, inst)
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if !isFiniteFloat(greatestState.externalContactMetric) || greatestState.externalContactMetric > 0 {
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if !isFiniteFloat(greatestState.externalContactMetric) {
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return PlanetTransitResult{}, false
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}
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gamma, penumbra, surfaceSeed, possible := planetTransitShadowGeometry(greatestTT, cfg, inst)
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if !possible {
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return PlanetTransitResult{}, false
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}
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@@ -353,8 +273,19 @@ func planetTransitAtInferiorConjunctionTT(conjunctionTT float64, cfg planetTrans
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MinimumSeparationArcsec: greatestState.separationArcsec,
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SunSemidiameterArcsec: greatestState.sunSemidiameter,
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PlanetSemidiameterArcsec: greatestState.planetSemidiameter,
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HasExternal: true,
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HasExternal: greatestState.externalContactMetric <= 0,
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HasInternal: greatestState.internalContactMetric <= 0,
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WindowStart: greatestTT - 0.25,
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WindowEnd: greatestTT + 0.25,
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Gamma: gamma,
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PenumbralRadius: penumbra,
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Series: planetTransitSeriesAt(greatestTT, cfg),
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}
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if !result.HasExternal {
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if !planetTransitSurfaceOverlap(planetTransitResultTTToUT(result), surfaceSeed, inst) {
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return PlanetTransitResult{}, false
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}
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return result, true
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}
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externalIngress, ok := refinePlanetTransitContactTT(greatestTT, cfg, -1, false, inst)
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@@ -367,6 +298,8 @@ func planetTransitAtInferiorConjunctionTT(conjunctionTT float64, cfg planetTrans
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}
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result.ExternalIngress = externalIngress
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result.ExternalEgress = externalEgress
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result.WindowStart = externalIngress - planetTransitSnapshotMarginDays
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result.WindowEnd = externalEgress + planetTransitSnapshotMarginDays
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if result.HasInternal {
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internalIngress, ok := refinePlanetTransitContactTT(greatestTT, cfg, -1, true, inst)
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@@ -527,8 +460,18 @@ func bisectPlanetTransitContactTT(leftJD, leftValue, rightJD, rightValue float64
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func planetTransitResultTTToUT(result PlanetTransitResult) PlanetTransitResult {
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result.Greatest = TT2UTC(result.Greatest)
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result.ExternalIngress = TT2UTC(result.ExternalIngress)
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result.ExternalEgress = TT2UTC(result.ExternalEgress)
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if result.ExternalIngress != 0 {
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result.ExternalIngress = TT2UTC(result.ExternalIngress)
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}
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if result.ExternalEgress != 0 {
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result.ExternalEgress = TT2UTC(result.ExternalEgress)
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}
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if result.WindowStart != 0 {
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result.WindowStart = TT2UTC(result.WindowStart)
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}
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if result.WindowEnd != 0 {
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result.WindowEnd = TT2UTC(result.WindowEnd)
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}
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if result.InternalIngress != 0 {
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result.InternalIngress = TT2UTC(result.InternalIngress)
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}
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