feat: 引入可切换星历模型并扩展天象观测链路
- 新增半解析、旧模型、自定义与多源堆叠星历实例,提供 Context、Instance、SPK 读取及状态与视位置计算 - 统一太阳、月球和行星实例接口,扩展黄经穿越、留、相位、最近角距、偕日可见、任意高度升落、轨道节点及凌日等天象查询 - 完善日月食、月掩与凌日的月缘剖面、有限盘面接触、站心修正、局地可见性、全球路径和地图输出 - 新增 SVG、GeoJSON、KML 天象输出及凌日、月掩和月缘地形相关缓存与几何求解 - 新增恒星星表导入与查询,支持 CSV、Hipparcos、BSC5、Stellarium 等格式及名称、交叉标识、锥面检索和星等过滤 - 补充 IAU 2006、地球定向、折射消光、大气观测、轨道传播及半解析行星/月球数据支持 - 将默认未来民用时标切换为 TimeScaleLeapHour,更新 2027–2400 农历速查表、中文日期解析和时区边界处理 - 增加事件基线、跨模型回归、几何边界、月缘地形和输出契约测试,完善中英文手册、示例资源、NOTICE 与忽略规则
This commit is contained in:
+189
-51
@@ -1,6 +1,10 @@
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package basic
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import "math"
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import (
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"math"
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"b612.me/astro/internal/geodata"
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)
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// LocalSolarEclipseResult 表示某个站点的一次站心日食几何结果。
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//
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@@ -11,7 +15,9 @@ type LocalSolarEclipseResult struct {
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// The fields below are the conventions that fix the numbers above.
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Model SolarEclipseRadiusModel
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SunRadiusModel SolarEclipseSunRadiusModel
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Type SolarEclipseType
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// LunarLimbApplied 表示接触时刻已按月缘剖面修正 / reports whether lunar-limb refinement changed the contacts.
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LunarLimbApplied bool
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Type SolarEclipseType
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// GreatestEclipse 是站心盘面中心角距最小的时刻。
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GreatestEclipse float64
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@@ -52,8 +58,13 @@ type localSolarEclipseState struct {
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sunRadiusRad float64
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moonOuterRadiusRad float64
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moonInnerRadiusRad float64
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sunAltitudeRad float64
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sunAzimuthRad float64
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// innerTotal 为真表示内切按全食求、食型为全食;有月缘时取全食、环食两支中内切间隙较小者,不能由被钳过的等效内半径反推。
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innerTotal bool
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sunAltitudeRad float64
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sunAzimuthRad float64
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// limbApplied 表示内外半径都取自月缘剖面;outerLimbApplied 只看外切半径,偏食界线与全球始末只需要它。
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limbApplied bool
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outerLimbApplied bool
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}
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func (state localSolarEclipseState) movingDiskContactState() movingDiskContactState {
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@@ -76,6 +87,8 @@ type localSolarEclipseStateContext struct {
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moonXYZ [3]float64
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gst float64
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params solarEclipseModelParameters
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// 仅设置月缘时非 nil;用指针让圆月面路径的缓存条目保持免分配。
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limbFrame *lunarLimbFrame
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// generation 记录写入缓存时的 ΔT 世代(gst 依赖 ΔT,覆盖 ΔT 后条目必须失效)。
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// generation is the ΔT generation the cached context was built under; gst depends on
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// ΔT, so an override must invalidate the entry.
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@@ -91,23 +104,15 @@ const (
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localSolarMoonRadiusScale = 1.0000036
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)
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// LocalSolarEclipse 计算给定近朔时刻附近的一次站心日食,默认使用 NASA bulletin Split-K 模型。
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//
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// seedJDE 为力学时儒略日(TT),只需落在目标朔月附近,允许相差数天。
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// LocalSolarEclipse 计算给定近朔时刻附近的一次站心日食,使用 NASA bulletin Split-K 模型与标准太阳半径。
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//
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// lon 为经度,东正西负;lat 为纬度,北正南负;height 为观测点高度,单位米,按椭球高(大地高)解读:
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// 只有正高 H 时须由调用方先加上大地水准面差距 N,即 height = H + N;本库不建模 N。
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// LocalSolarEclipse computes one local solar eclipse with the NASA bulletin Split-K model and
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// the standard solar radius. height is the ellipsoidal height in metres; convert an orthometric
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// height H with height = H + N, since the geoid undulation N is not modelled here.
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// LocalSolarEclipse 计算给定近朔时刻附近的一次站心日食,默认使用 NASA bulletin Split-K 模型与标准太阳半径 / one local solar eclipse near a new moon.
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// seedJDE 为力学时儒略日(TT),落在目标朔月附近即可;height 按椭球高(大地高)解读,只有正高 H 时须先加 N。
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func LocalSolarEclipse(seedJDE, lon, lat, height float64) LocalSolarEclipseResult {
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return LocalSolarEclipseNASABulletinSplitK(seedJDE, lon, lat, height)
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}
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// LocalSolarEclipseWithOptions 计算给定近朔时刻附近的一次站心日食,半径口径由 options 指定 / computes one local solar eclipse with the given radius conventions.
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func LocalSolarEclipseWithOptions(seedJDE, lon, lat, height float64, options SolarEclipseOptions) LocalSolarEclipseResult {
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return localSolarEclipse(seedJDE, lon, lat, height, options)
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// LocalSolarEclipseWithOptionsWithInstance 用指定星历实例求值;inst 为 nil 时用进程当前模型 / evaluation with an explicit instance; nil uses the process model.
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func LocalSolarEclipseWithOptionsWithInstance(seedJDE, lon, lat, height float64, options SolarEclipseOptions, inst *Instance) LocalSolarEclipseResult {
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return localSolarEclipse(seedJDE, lon, lat, height, options, inst)
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}
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// LocalSolarEclipseIAUSingleK 计算给定近朔时刻附近的一次站心日食,使用 IAU Single-K 模型。
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@@ -120,18 +125,63 @@ func LocalSolarEclipseNASABulletinSplitK(seedJDE, lon, lat, height float64) Loca
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return localSolarEclipse(seedJDE, lon, lat, height, SolarEclipseOptions{RadiusModel: SolarEclipseModelNASABulletinSplitK})
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}
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func localSolarEclipse(seedJDE, lonDeg, latDeg, heightMeters float64, options SolarEclipseOptions) LocalSolarEclipseResult {
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newMoonJDE := CalcMoonSHByJDE(seedJDE, 0)
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func localSolarEclipse(seedJDE, lonDeg, latDeg, heightMeters float64, options SolarEclipseOptions, instances ...*Instance) LocalSolarEclipseResult {
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if options.LunarLimb != nil {
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circularOptions := options
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circularOptions.LunarLimb = nil
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circular := localSolarEclipseCore(seedJDE, lonDeg, latDeg, heightMeters, circularOptions, instances...)
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result := localSolarEclipseCore(seedJDE, lonDeg, latDeg, heightMeters, options, instances...)
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result.LunarLimbApplied = localSolarEclipseLimbChanged(result, circular)
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return result
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}
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return localSolarEclipseCore(seedJDE, lonDeg, latDeg, heightMeters, options, instances...)
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}
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// localSolarEclipseLimbChanged 报告月缘是否改变了站心结果中任何对外可见的数值:
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// 四个接触时刻、食甚时的食分与遮蔽率,以及站心食型。食甚时刻本身按圆月面最近距离求,不参与比较。
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func localSolarEclipseLimbChanged(result, circular LocalSolarEclipseResult) bool {
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if result.Type == SolarEclipseNone || circular.Type == SolarEclipseNone {
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return result.Type != circular.Type
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}
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if result.Type != circular.Type {
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return true
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}
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for _, pair := range [][2]float64{
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{result.PartialStart, circular.PartialStart},
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{result.PartialEnd, circular.PartialEnd},
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{result.CentralStart, circular.CentralStart},
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{result.CentralEnd, circular.CentralEnd},
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} {
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if limbTimeChanged(pair[0], pair[1]) {
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return true
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}
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}
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for _, pair := range [][2]float64{
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{result.Magnitude, circular.Magnitude},
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{result.Obscuration, circular.Obscuration},
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} {
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if limbMagnitudeChanged(pair[0], pair[1]) {
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return true
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}
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}
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return false
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}
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func localSolarEclipseCore(seedJDE, lonDeg, latDeg, heightMeters float64, options SolarEclipseOptions, instances ...*Instance) LocalSolarEclipseResult {
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inst := instanceValue(instances)
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newMoonJDE := solarEclipseAnchorNewMoon(seedJDE, inst)
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lonRad := lonDeg * rad
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latRad := latDeg * rad
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heightKM := heightMeters / 1000.0
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options.RadiusModel = normalizeSolarEclipseRadiusModel(options.RadiusModel)
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options.SunRadiusModel = normalizeSolarEclipseSunRadiusModel(options.SunRadiusModel)
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params := solarEclipseModelParams(options.RadiusModel, options.SunRadiusModel)
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params.lunarLimb = options.LunarLimb
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greatestEclipseJDE := localSolarEclipseGreatest(newMoonJDE, lonRad, latRad, heightKM, params)
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state := localSolarEclipseStateAt(greatestEclipseJDE, lonRad, latRad, heightKM, params)
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contactEvaluator := newLocalSolarEclipseContactEvaluator(lonRad, latRad, heightKM, params)
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greatestEclipseJDE := localSolarEclipseGreatest(newMoonJDE, lonRad, latRad, heightKM, params, inst)
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state := localSolarEclipseStateAt(greatestEclipseJDE, lonRad, latRad, heightKM, params, inst)
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contactEvaluator := newLocalSolarEclipseContactEvaluator(lonRad, latRad, heightKM, params, inst)
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visibleThresholdRad := 0.0
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if heightMeters > 0 {
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visibleThresholdRad = -HeightDegreeByLat(heightMeters, latDeg) * rad
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@@ -179,7 +229,7 @@ func localSolarEclipse(seedJDE, lonDeg, latDeg, heightMeters float64, options So
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}
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result.HasCentral = true
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if state.moonInnerRadiusRad >= state.sunRadiusRad {
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if state.innerTotal {
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result.Type = SolarEclipseTotal
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result.HasTotal = true
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} else {
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@@ -202,9 +252,9 @@ func localSolarEclipse(seedJDE, lonDeg, latDeg, heightMeters float64, options So
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// Split-K 的 k1 是编译期常量,这里保持常量折叠后的末位,使该模型的既有输出逐字节不变;IAU Single-K 只能走运行时值。
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func solarEclipsePenumbralRadiusNumerator(params solarEclipseModelParameters) float64 {
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if params.penumbralK == solarEclipsePenumbralK {
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return solarEclipseEarthEquatorialRadiusKM * solarEclipsePenumbralK * localSolarMoonRadiusScale
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return geodata.EarthEquatorialRadiusKM * solarEclipsePenumbralK * localSolarMoonRadiusScale
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}
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return solarEclipseEarthEquatorialRadiusKM * params.penumbralK * localSolarMoonRadiusScale
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return geodata.EarthEquatorialRadiusKM * params.penumbralK * localSolarMoonRadiusScale
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}
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func solarEclipseModelParams(model SolarEclipseRadiusModel, sunRadiusModel SolarEclipseSunRadiusModel) solarEclipseModelParameters {
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@@ -222,10 +272,13 @@ func solarEclipseModelParams(model SolarEclipseRadiusModel, sunRadiusModel Solar
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func localSolarEclipseGreatest(
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newMoonJDE, lonRad, latRad, heightKM float64,
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params solarEclipseModelParameters,
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) float64 {
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params solarEclipseModelParameters, instances ...*Instance) float64 {
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inst := instanceValue(instances)
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// 食甚只看日月中心角距,与月缘无关,免去每步的全方向月缘扫描。
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params.lunarLimb = nil
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return localSolarEclipseGreatestWith(newMoonJDE, func(jd float64) localSolarEclipseState {
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return localSolarEclipseStateAt(jd, lonRad, latRad, heightKM, params)
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return localSolarEclipseStateAt(jd, lonRad, latRad, heightKM, params, inst)
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})
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}
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@@ -247,15 +300,30 @@ func localSolarEclipseGreatestWith(
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// centralPhaseDurationDaysAt 用事件局部插值星历求解某点的中心相时长(日):先求局部食甚,
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// 再解本影/反本影的内切接触。没有中心相或接触退化时返回 0。
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func (solver solarEclipseSolver) centralPhaseDurationDaysAt(jde, lonDeg, latDeg float64) float64 {
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duration, _ := solver.centralPhaseDurationDaysWithLimbAt(jde, lonDeg, latDeg)
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return duration
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}
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// centralPhaseDurationDaysWithLimbAt 同 centralPhaseDurationDaysAt,并报告求解用到的每个状态是否都取到了月缘半径。
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func (solver solarEclipseSolver) centralPhaseDurationDaysWithLimbAt(jde, lonDeg, latDeg float64) (float64, bool) {
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solver = solver.withLocalEphemeris()
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lonRad, latRad := lonDeg*rad, latDeg*rad
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limbOK := solver.params.lunarLimb != nil
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stateAt := func(jde float64) localSolarEclipseState {
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return solver.localStateContextCandidateAt(jde).stateAt(lonRad, latRad, 0)
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state := solver.localStateContextCandidateAt(jde).stateAt(lonRad, latRad, 0)
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if !state.limbApplied {
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limbOK = false
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}
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return state
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}
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greatestJDE := localSolarEclipseGreatestWith(solver.newMoonJDE, stateAt)
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greatestJDE := localSolarEclipseGreatestWith(solver.newMoonJDE, func(jde float64) localSolarEclipseState {
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context := solver.localStateContextCandidateAt(jde)
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context.limbFrame = nil
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return context.stateAt(lonRad, latRad, 0)
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})
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contactState := stateAt(greatestJDE).movingDiskContactState()
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if !contactState.valid || contactState.internalContactGap() > 0 {
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return 0
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return 0, false
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}
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evaluator := newMovingDiskContactEvaluator(func(jde float64) (movingDiskContactState, bool) {
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contact := stateAt(jde).movingDiskContactState()
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@@ -264,21 +332,22 @@ func (solver solarEclipseSolver) centralPhaseDurationDaysAt(jde, lonDeg, latDeg
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evaluator.prime(greatestJDE, contactState, true)
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start, ok := localSolarEclipseContactWithEvaluator(greatestJDE, evaluator, true, true)
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if !ok {
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return 0
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return 0, false
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}
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end, ok := localSolarEclipseContactWithEvaluator(greatestJDE, evaluator, true, false)
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if !ok || end <= start {
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return 0
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return 0, false
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}
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return end - start
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return end - start, limbOK
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}
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func newLocalSolarEclipseContactEvaluator(
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lonRad, latRad, heightKM float64,
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params solarEclipseModelParameters,
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) *movingDiskContactEvaluator {
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params solarEclipseModelParameters, instances ...*Instance) *movingDiskContactEvaluator {
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inst := instanceValue(instances)
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return newMovingDiskContactEvaluator(func(jdTT float64) (movingDiskContactState, bool) {
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state := localSolarEclipseStateAt(jdTT, lonRad, latRad, heightKM, params)
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state := localSolarEclipseStateAt(jdTT, lonRad, latRad, heightKM, params, inst)
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contactState := state.movingDiskContactState()
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return contactState, contactState.valid
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})
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@@ -320,35 +389,44 @@ func localSolarEclipseContactWithEvaluator(
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func localSolarEclipseStateAt(
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jdTT, lonRad, latRad, heightKM float64,
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params solarEclipseModelParameters,
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) localSolarEclipseState {
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return newLocalSolarEclipseStateContext(jdTT, params).stateAt(lonRad, latRad, heightKM)
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params solarEclipseModelParameters, instances ...*Instance) localSolarEclipseState {
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inst := instanceValue(instances)
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return newLocalSolarEclipseStateContext(jdTT, params, inst).stateAt(lonRad, latRad, heightKM)
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}
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func newLocalSolarEclipseStateContext(
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jdTT float64,
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params solarEclipseModelParameters,
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) localSolarEclipseStateContext {
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return newLocalSolarEclipseStateContextWithOverride(jdTT, math.NaN(), params)
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params solarEclipseModelParameters, instances ...*Instance) localSolarEclipseStateContext {
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inst := instanceValue(instances)
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return newLocalSolarEclipseStateContextWithOverride(jdTT, math.NaN(), params, inst)
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}
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// newLocalSolarEclipseStateContextWithOverride 用显式 ΔT 构造站心状态上下文:TT 时刻不变,
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// ΔT 只决定恒星时相位;deltaTSeconds 为 NaN 时走进程级模型。
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func newLocalSolarEclipseStateContextWithOverride(
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jdTT, deltaTSeconds float64,
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params solarEclipseModelParameters,
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) localSolarEclipseStateContext {
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sunEquatorial, moonEquatorial := solarEclipseSunMoonEquatorial(jdTT)
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params solarEclipseModelParameters, instances ...*Instance) localSolarEclipseStateContext {
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inst := instanceValue(instances)
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sunEquatorial, moonEquatorial := solarEclipseSunMoonEquatorial(jdTT, inst)
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ut1JDE := TT2UT1(jdTT)
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if !math.IsNaN(deltaTSeconds) {
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ut1JDE = jdTT - deltaTSeconds/86400
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}
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return localSolarEclipseStateContext{
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context := localSolarEclipseStateContext{
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sunXYZ: solarEclipseLLRToXYZ(sunEquatorial[0], sunEquatorial[1], sunEquatorial[2]),
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moonXYZ: solarEclipseLLRToXYZ(moonEquatorial[0], moonEquatorial[1], moonEquatorial[2]),
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gst: ApparentSiderealTime(ut1JDE) * 15 * rad,
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params: params,
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}
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if params.lunarLimb != nil {
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if frame := newLunarLimbFrame(params.lunarLimb, jdTT, context.moonXYZ, inst); frame.valid {
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context.limbFrame = &frame
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}
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}
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return context
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}
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func (context localSolarEclipseStateContext) stateAt(lonRad, latRad, heightKM float64) localSolarEclipseState {
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@@ -376,14 +454,29 @@ func (context localSolarEclipseStateContext) stateAt(lonRad, latRad, heightKM fl
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}
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sunRadiusRad := math.Asin(localSolarEclipseClampUnit(
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solarEclipseEarthEquatorialRadiusKM * context.params.sunRadiusRatio / sunTopocentric[2],
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geodata.EarthEquatorialRadiusKM * context.params.sunRadiusRatio / sunTopocentric[2],
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))
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moonOuterRadiusRad := math.Asin(localSolarEclipseClampUnit(
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solarEclipsePenumbralRadiusNumerator(context.params) / moonTopocentric[2],
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))
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moonInnerRadiusRad := math.Asin(localSolarEclipseClampUnit(
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solarEclipseEarthEquatorialRadiusKM * context.params.umbralK * localSolarMoonRadiusScale / moonTopocentric[2],
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geodata.EarthEquatorialRadiusKM * context.params.umbralK * localSolarMoonRadiusScale / moonTopocentric[2],
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))
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innerTotal := moonInnerRadiusRad >= sunRadiusRad
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limbApplied, outerLimbApplied := false, false
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if context.limbFrame != nil {
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outer, inner, total, outerOK, innerOK := context.limbRadii(
|
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observerXYZ, math.Acos(dot), sunRadiusRad, moonTopocentric[2], moonInnerRadiusRad,
|
||||
)
|
||||
// 剖面在某侧无值时该侧保持圆月面。
|
||||
if outerOK {
|
||||
moonOuterRadiusRad, outerLimbApplied = outer, true
|
||||
}
|
||||
if innerOK {
|
||||
moonInnerRadiusRad, innerTotal = inner, total
|
||||
}
|
||||
limbApplied = outerOK && innerOK
|
||||
}
|
||||
|
||||
sunHorizontal := solarEclipseEquatorialToHorizontal(
|
||||
sunTopocentric[0],
|
||||
@@ -402,12 +495,57 @@ func (context localSolarEclipseStateContext) stateAt(lonRad, latRad, heightKM fl
|
||||
moonInnerRadiusRad: moonInnerRadiusRad,
|
||||
sunAltitudeRad: sunHorizontal[1],
|
||||
sunAzimuthRad: solarEclipseNormalizeRadians(sunHorizontal[0] + math.Pi),
|
||||
innerTotal: innerTotal,
|
||||
limbApplied: limbApplied,
|
||||
outerLimbApplied: outerLimbApplied,
|
||||
}
|
||||
}
|
||||
|
||||
// limbRadii 用月缘剖面求外、内接触的等效月半径(弧度):月缘在全部位置角上的最不利余量折算成圆月面半径,
|
||||
// 使圆月面接触间隙恰为月缘余量的相反数。圆月面内半径离日面半径不到一个起伏幅度时全食、环食两支都算,
|
||||
// 取内切间隙较小的一支并据此报告 total;内外两侧分别报告是否取到剖面值。
|
||||
func (context localSolarEclipseStateContext) limbRadii(
|
||||
observerXYZ [3]float64,
|
||||
separationRad, sunRadiusRad, moonDistanceKM, circularInnerRad float64,
|
||||
) (outer, inner float64, total, outerOK, innerOK bool) {
|
||||
moonTopocentric := [3]float64{
|
||||
context.moonXYZ[0] - observerXYZ[0],
|
||||
context.moonXYZ[1] - observerXYZ[1],
|
||||
context.moonXYZ[2] - observerXYZ[2],
|
||||
}
|
||||
sunTopocentric := [3]float64{
|
||||
context.sunXYZ[0] - observerXYZ[0],
|
||||
context.sunXYZ[1] - observerXYZ[1],
|
||||
context.sunXYZ[2] - observerXYZ[2],
|
||||
}
|
||||
total = circularInnerRad >= sunRadiusRad
|
||||
view, ok := context.limbFrame.viewToward(moonTopocentric, sunTopocentric)
|
||||
if !ok {
|
||||
return 0, 0, total, false, false
|
||||
}
|
||||
contact := lunarLimbContact{
|
||||
frame: context.limbFrame,
|
||||
view: view,
|
||||
distanceKM: moonDistanceKM,
|
||||
separation: separationRad,
|
||||
targetRadius: sunRadiusRad,
|
||||
}
|
||||
outer, outerOK = contact.outerRadius()
|
||||
inner, innerOK = contact.innerRadius(total)
|
||||
low, high, ranged := contact.bounds()
|
||||
// 混合食附近月缘可让食型翻转:剖面不报告范围时无从判断,同样两支都算。
|
||||
if innerOK && (!ranged || math.Abs(circularInnerRad-sunRadiusRad) < high-low) {
|
||||
if other, otherOK := contact.innerRadius(!total); otherOK &&
|
||||
separationRad-math.Abs(other-sunRadiusRad) < separationRad-math.Abs(inner-sunRadiusRad) {
|
||||
inner, total = other, !total
|
||||
}
|
||||
}
|
||||
return outer, inner, total, outerOK, innerOK
|
||||
}
|
||||
|
||||
func localSolarEclipseObserverXYZ(gst, lonRad, latRad, heightKM float64) [3]float64 {
|
||||
equatorialRadius := solarEclipseEarthEquatorialRadiusKM
|
||||
polarRadius := solarEclipseEarthEquatorialRadiusKM * solarEclipseEarthPolarRatio
|
||||
equatorialRadius := geodata.EarthEquatorialRadiusKM
|
||||
polarRadius := geodata.EarthEquatorialRadiusKM * solarEclipseEarthPolarRatio
|
||||
|
||||
u := math.Atan((polarRadius / equatorialRadius) * math.Tan(latRad))
|
||||
radiusXY := equatorialRadius*math.Cos(u) + heightKM*math.Cos(latRad)
|
||||
|
||||
Reference in New Issue
Block a user