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/planet"
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. "b612.me/astro/tools"
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)
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type jupiterPhysicalObservationInfo struct {
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DS float64
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DE float64
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SystemI float64
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SystemII float64
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}
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// JupiterCentralMeridianInfo 木星中央经线 / Jupiter central meridians.
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type JupiterCentralMeridianInfo struct {
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// SystemI 木星 System I 照亮盘中央经线,单位度,西经为正。
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SystemI float64
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// SystemII 木星 System II 照亮盘中央经线,单位度,西经为正。
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SystemII float64
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// SystemIII 木星 System III 盘面中央经线,单位度,西经为正。
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SystemIII float64
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}
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// JupiterCentralMeridians 木星 System I/II/III 中央经线 / Jupiter System I/II/III central meridians.
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func JupiterCentralMeridians(jd float64) JupiterCentralMeridianInfo {
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return JupiterCentralMeridiansN(jd, -1)
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}
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// JupiterCentralMeridiansN 木星 System I/II/III 中央经线(截断版) / truncated Jupiter System I/II/III central meridians.
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func JupiterCentralMeridiansN(jd float64, n int) JupiterCentralMeridianInfo {
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observations := jupiterPhysicalObservationsN(jd, n)
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physical := JupiterPhysicalN(jd, n)
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return JupiterCentralMeridianInfo{
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SystemI: observations.SystemI,
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SystemII: observations.SystemII,
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SystemIII: physical.SubEarthLongitude,
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}
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}
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// JupiterDSDE 木星 DS/DE 行星中心赤纬 / Jupiter planetocentric declinations of Sun and Earth.
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func JupiterDSDE(jd float64) (ds, de float64) {
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return JupiterDSDEN(jd, -1)
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}
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// JupiterDSDEN 木星 DS/DE 行星中心赤纬(截断版) / truncated Jupiter planetocentric declinations of Sun and Earth.
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func JupiterDSDEN(jd float64, n int) (ds, de float64) {
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observations := jupiterPhysicalObservationsN(jd, n)
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return observations.DS, observations.DE
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}
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func jupiterPhysicalObservationsN(jd float64, n int) jupiterPhysicalObservationInfo {
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days := jd - 2433282.5
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julianCentury := days / 36525.0
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poleRA := (268.0 + 0.1061*julianCentury) * rad
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poleDec := (64.5 - 0.0164*julianCentury) * rad
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w1 := (17.71 + 877.90003539*days) * rad
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w2 := (16.838 + 870.27003539*days) * rad
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earthLon := planet.WherePlanetN(-1, 0, jd, n)
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earthLat := planet.WherePlanetN(-1, 1, jd, n)
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earthRadius := planet.WherePlanetN(-1, 2, jd, n)
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delta := 4.0
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var jupiterLon float64
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var jupiterLat float64
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var jupiterRadius float64
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var x float64
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var y float64
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var z float64
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for i := 0; i < 2; i++ {
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lightTimeDays := astronomicalUnitLightTimeDays * delta
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jupiterLon = planet.WherePlanetN(4, 0, jd-lightTimeDays, n)
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jupiterLat = planet.WherePlanetN(4, 1, jd-lightTimeDays, n)
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jupiterRadius = planet.WherePlanetN(4, 2, jd-lightTimeDays, n)
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x = jupiterRadius*Cos(jupiterLat)*Cos(jupiterLon) - earthRadius*Cos(earthLat)*Cos(earthLon)
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y = jupiterRadius*Cos(jupiterLat)*Sin(jupiterLon) - earthRadius*Cos(earthLat)*Sin(earthLon)
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z = jupiterRadius*Sin(jupiterLat) - earthRadius*Sin(earthLat)
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delta = math.Sqrt(x*x + y*y + z*z)
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}
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meanObliquity := EclipticObliquity(jd, false)
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sinMeanObliquity, cosMeanObliquity := math.Sincos(meanObliquity)
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sinJupiterLat, cosJupiterLat := math.Sincos(jupiterLat * rad)
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sinJupiterLon, cosJupiterLon := math.Sincos(jupiterLon * rad)
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alphaSun := math.Atan2(cosMeanObliquity*sinJupiterLon-sinMeanObliquity*sinJupiterLat/cosJupiterLat, cosJupiterLon)
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deltaSun := math.Asin(cosMeanObliquity*sinJupiterLat + sinMeanObliquity*cosJupiterLat*sinJupiterLon)
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u := y*Cos(meanObliquity) - z*Sin(meanObliquity)
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v := y*Sin(meanObliquity) + z*Cos(meanObliquity)
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alpha := math.Atan2(u, x)
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deltaEarth := math.Atan2(v, math.Hypot(x, u))
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sinPoleDec, cosPoleDec := math.Sincos(poleDec)
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sinDeltaSun, cosDeltaSun := math.Sincos(deltaSun)
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ds := math.Asin(-sinPoleDec*sinDeltaSun-cosPoleDec*cosDeltaSun*math.Cos(poleRA-alphaSun)) * deg
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sinDeltaEarth, cosDeltaEarth := math.Sincos(deltaEarth)
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sinPoleDeltaRA, cosPoleDeltaRA := math.Sincos(poleRA - alpha)
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zeta := math.Atan2(
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sinPoleDec*cosDeltaEarth*cosPoleDeltaRA-sinDeltaEarth*cosPoleDec,
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cosDeltaEarth*sinPoleDeltaRA,
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)
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de := math.Asin(-sinPoleDec*sinDeltaEarth-cosPoleDec*cosDeltaEarth*math.Cos(poleRA-alpha)) * deg
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systemI := w1 - zeta - 5.07033*rad*delta
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systemII := w2 - zeta - 5.02626*rad*delta
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phaseCorrection := (2*jupiterRadius*delta + earthRadius*earthRadius - jupiterRadius*jupiterRadius - delta*delta) / (4 * jupiterRadius * delta)
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if Sin(jupiterLon-earthLon) < 0 {
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phaseCorrection = -phaseCorrection
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}
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return jupiterPhysicalObservationInfo{
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DS: ds,
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DE: de,
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SystemI: Limit360((systemI + phaseCorrection) * deg),
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SystemII: Limit360((systemII + phaseCorrection) * deg),
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}
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}
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