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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const (
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VENUS_S_PERIOD = 1 / ((1 / 224.701) - (1 / 365.256363004))
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venusEventSearchN = 16
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)
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func venusSunLongitudeDelta(jde float64) float64 {
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sub := Limit360(VenusApparentLo(jde) - HSunApparentLo(jde))
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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
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}
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func venusSunLongitudeDeltaN(jde float64, n int) float64 {
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sub := Limit360(VenusApparentLoN(jde, n) - HSunApparentLoN(jde, n))
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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
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}
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func venusSunRADelta(jde float64) float64 {
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sub := Limit360(VenusApparentRa(jde) - SunApparentRa(jde))
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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
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}
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func venusRADerivative(jde, val float64) float64 {
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sub := VenusApparentRa(jde+val) - VenusApparentRa(jde-val)
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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 * val)
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}
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func venusRADerivativeN(jde, val float64, n int) float64 {
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sub := VenusApparentRaN(jde+val, n) - VenusApparentRaN(jde-val, n)
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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 * val)
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}
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func venusSunElongationN(jde float64, n int) float64 {
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lo1, bo1 := VenusApparentLoBoN(jde, n)
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lo2 := SunApparentLo(jde)
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bo2 := HSunTrueBoN(jde, n)
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return StarAngularSeparation(lo1, bo1, lo2, bo2)
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}
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func venusElongationDerivative(jde, val float64) float64 {
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sub := VenusSunElongation(jde+val) - VenusSunElongation(jde-val)
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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 * val)
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}
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func venusElongationDerivativeN(jde, val float64, n int) float64 {
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sub := venusSunElongationN(jde+val, n) - venusSunElongationN(jde-val, n)
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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 * val)
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}
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func venusConjunction(jde float64, next uint8) float64 {
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//0=last 1=next
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nowSub := venusSunLongitudeDeltaN(jde, venusEventSearchN)
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pos := math.Abs(venusSunLongitudeDeltaN(jde+1/86400.0, venusEventSearchN)) - math.Abs(nowSub)
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if pos >= 0 && next == 1 && nowSub > 0 {
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jde += VENUS_S_PERIOD/8.0 + 2
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}
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if pos >= 0 && next == 1 && nowSub < 0 {
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jde += VENUS_S_PERIOD/6.0 + 2
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}
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if pos <= 0 && next == 0 && nowSub < 0 {
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jde -= VENUS_S_PERIOD/8.0 + 2
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}
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if pos <= 0 && next == 0 && nowSub > 0 {
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jde -= VENUS_S_PERIOD/6.0 + 2
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}
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for {
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nowSub := venusSunLongitudeDeltaN(jde, venusEventSearchN)
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pos := math.Abs(venusSunLongitudeDeltaN(jde+1/86400.0, venusEventSearchN)) - math.Abs(nowSub)
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if math.Abs(nowSub) > 24 || (pos > 0 && next == 1) || (pos < 0 && next == 0) {
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if next == 1 {
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jde += 8
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} else {
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jde -= 8
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}
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continue
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}
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break
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}
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JD1 := jde
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for {
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JD0 := JD1
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stDegree := venusSunLongitudeDelta(JD0)
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stDegreep := (venusSunLongitudeDelta(JD0+0.000005) - venusSunLongitudeDelta(JD0-0.000005)) / 0.00001
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JD1 = JD0 - stDegree/stDegreep
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if math.Abs(JD1-JD0) <= 0.00001 {
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break
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}
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}
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return TD2UT(JD1, false)
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}
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func LastVenusConjunction(jde float64) float64 {
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return venusConjunction(jde, 0)
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}
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func NextVenusConjunction(jde float64) float64 {
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return venusConjunction(jde, 1)
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}
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func NextVenusInferiorConjunction(jde float64) float64 {
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date := NextVenusConjunction(jde)
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if EarthVenusAway(date) > EarthAway(date) {
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return NextVenusConjunction(date + 2)
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}
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return date
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}
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func NextVenusSuperiorConjunction(jde float64) float64 {
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date := NextVenusConjunction(jde)
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if EarthVenusAway(date) < EarthAway(date) {
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return NextVenusConjunction(date + 2)
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}
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return date
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}
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func LastVenusInferiorConjunction(jde float64) float64 {
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date := LastVenusConjunction(jde)
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if EarthVenusAway(date) > EarthAway(date) {
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return LastVenusConjunction(date - 2)
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}
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return date
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}
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func LastVenusSuperiorConjunction(jde float64) float64 {
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date := LastVenusConjunction(jde)
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if EarthVenusAway(date) < EarthAway(date) {
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return LastVenusConjunction(date - 2)
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}
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return date
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}
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func venusRetrograde(jde float64) float64 {
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//0=last 1=next
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lastHe := LastVenusConjunction(jde)
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nextHe := NextVenusConjunction(jde)
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nowSub := venusSunRADelta(jde)
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if nowSub > 0 {
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jde = lastHe + ((nextHe - lastHe) / 5.0 * 3.5)
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} else {
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jde = lastHe + 10
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}
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for {
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nowSub := venusRADerivativeN(jde, 1.0/86400.0, venusEventSearchN)
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if math.Abs(nowSub) > 0.5 {
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jde += 5
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continue
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}
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break
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}
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JD1 := jde
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for {
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JD0 := JD1
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stDegree := venusRADerivative(JD0, 0.5/86400.0)
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stDegreep := (venusRADerivative(JD0+10.0/86400.0, 0.5/86400.0) - venusRADerivative(JD0-10.0/86400.0, 0.5/86400.0)) / (20.0 / 86400.0)
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JD1 = JD0 - stDegree/stDegreep
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if math.Abs(JD1-JD0) <= 20.0/86400.0 {
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break
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}
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}
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min := eventZeroRefine(JD1, 10.0/86400.0, 0.5/86400.0, func(jd float64) float64 {
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return venusRADerivative(jd, 0.5/86400.0)
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})
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//fmt.Println((min - lastHe) / (nextHe - lastHe))
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return TD2UT(min, false)
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}
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func NextVenusRetrograde(jde float64) float64 {
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date := venusRetrograde(jde)
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if date < jde {
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nextHe := NextVenusConjunction(jde)
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return venusRetrograde(nextHe + 2)
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}
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return date
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}
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func LastVenusRetrograde(jde float64) float64 {
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lastHe := LastVenusConjunction(jde)
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date := venusRetrograde(lastHe + 2)
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if date > jde {
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lastLastHe := LastVenusConjunction(lastHe - 2)
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return venusRetrograde(lastLastHe + 2)
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}
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return date
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}
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func NextVenusProgradeToRetrograde(jde float64) float64 {
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date := NextVenusRetrograde(jde)
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sub := Limit360(VenusApparentRa(date) - SunApparentRa(date))
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if sub > 180 {
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return NextVenusRetrograde(date + VENUS_S_PERIOD/2)
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}
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return date
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}
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func NextVenusRetrogradeToPrograde(jde float64) float64 {
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date := NextVenusRetrograde(jde)
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sub := Limit360(VenusApparentRa(date) - SunApparentRa(date))
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if sub < 180 {
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return NextVenusRetrograde(date + 12)
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}
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return date
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}
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func LastVenusProgradeToRetrograde(jde float64) float64 {
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date := LastVenusRetrograde(jde)
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sub := Limit360(VenusApparentRa(date) - SunApparentRa(date))
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if sub > 180 {
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return LastVenusRetrograde(date - 12)
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}
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return date
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}
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func LastVenusRetrogradeToPrograde(jde float64) float64 {
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date := LastVenusRetrograde(jde)
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sub := Limit360(VenusApparentRa(date) - SunApparentRa(date))
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if sub < 180 {
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return LastVenusRetrograde(date - VENUS_S_PERIOD/2)
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}
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return date
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}
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func VenusSunElongation(jde float64) float64 {
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lo1, bo1 := VenusApparentLoBo(jde)
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lo2 := SunApparentLo(jde)
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bo2 := HSunTrueBo(jde)
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return StarAngularSeparation(lo1, bo1, lo2, bo2)
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}
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func venusGreatestElongation(jde float64) float64 {
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lastHe := LastVenusConjunction(jde)
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nextHe := NextVenusConjunction(jde)
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nowSub := venusSunRADelta(jde)
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if nowSub > 0 {
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jde = lastHe + ((nextHe - lastHe) / 5.0 * 2.5)
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} else {
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jde = lastHe + ((nextHe - lastHe) / 5.0)
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}
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for {
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nowSub := venusElongationDerivativeN(jde, 1.0/86400.0, venusEventSearchN)
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if math.Abs(nowSub) > 0.15 {
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jde += 5
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continue
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}
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break
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}
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JD1 := jde
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for {
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JD0 := JD1
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stDegree := venusElongationDerivative(JD0, 2.0/86400.0)
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stDegreep := (venusElongationDerivative(JD0+15.0/86400.0, 2.0/86400.0) - venusElongationDerivative(JD0-15.0/86400.0, 2.0/86400.0)) / (30.0 / 86400.0)
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JD1 = JD0 - stDegree/stDegreep
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if math.Abs(JD1-JD0) <= 30.0/86400.0 {
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break
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}
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}
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min := eventZeroRefine(JD1, 15.0/86400.0, 0.5/86400.0, func(jd float64) float64 {
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return venusElongationDerivative(jd, 0.5/86400.0)
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})
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//fmt.Println((min - lastHe) / (nextHe - lastHe))
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return TD2UT(min, false)
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}
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func NextVenusGreatestElongation(jde float64) float64 {
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date := venusGreatestElongation(jde)
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if date < jde {
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nextHe := NextVenusConjunction(jde)
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return venusGreatestElongation(nextHe + 2)
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}
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return date
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}
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func LastVenusGreatestElongation(jde float64) float64 {
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lastHe := LastVenusConjunction(jde)
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date := venusGreatestElongation(lastHe + 2)
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if date > jde {
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lastLastHe := LastVenusConjunction(lastHe - 2)
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return venusGreatestElongation(lastLastHe + 2)
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}
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return date
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}
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func NextVenusGreatestElongationEast(jde float64) float64 {
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date := NextVenusGreatestElongation(jde)
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sub := Limit360(VenusApparentRa(date) - SunApparentRa(date))
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if sub > 180 {
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return NextVenusGreatestElongation(date + 1)
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}
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return date
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}
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func NextVenusGreatestElongationWest(jde float64) float64 {
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date := NextVenusGreatestElongation(jde)
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sub := Limit360(VenusApparentRa(date) - SunApparentRa(date))
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if sub < 180 {
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return NextVenusGreatestElongation(date + 1)
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}
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return date
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}
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func LastVenusGreatestElongationEast(jde float64) float64 {
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date := LastVenusGreatestElongation(jde)
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sub := Limit360(VenusApparentRa(date) - SunApparentRa(date))
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if sub > 180 {
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return LastVenusGreatestElongation(date - 1)
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}
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return date
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}
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func LastVenusGreatestElongationWest(jde float64) float64 {
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date := LastVenusGreatestElongation(jde)
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sub := Limit360(VenusApparentRa(date) - SunApparentRa(date))
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if sub < 180 {
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return LastVenusGreatestElongation(date - 1)
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}
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return date
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}
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