astro/eclipse/solar.go
starainrt bec7b8a0d8
feat: 增强日月食搜索、沙罗周期与内行星凌日
- 使用压缩表加速查找日月食沙罗周期信息
- 优化日月食搜索跳步,减少非食季朔望月扫描
- 新增本地日全食、日环食、月全食搜索接口,返回 ok 区分未找到结果
- 新增水星、金星地心凌日查询及测试
2026-05-03 19:00:08 +08:00

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package eclipse
import (
"math"
"time"
"b612.me/astro/basic"
)
const (
solarEclipseSynodicMonthDays = 29.530588853
solarEclipseSearchLimit = 36
solarEclipseSearchEpsilonDay = 1e-8
solarEclipseLatitudeLimitDeg = 2.0
)
type solarEclipseCalculator func(float64) basic.SolarEclipseResult
// SolarEclipseRadiusModel 日食月亮半径模型, lunar radius model for solar eclipses.
type SolarEclipseRadiusModel string
const (
// SolarEclipseModelIAUSingleK IAU 单一 k 值模型, IAU single-k model.
SolarEclipseModelIAUSingleK SolarEclipseRadiusModel = "iau_single_k"
// SolarEclipseModelNASABulletinSplitK NASA bulletin 分裂 k 值模型, NASA bulletin split-k model.
SolarEclipseModelNASABulletinSplitK SolarEclipseRadiusModel = "nasa_bulletin_split_k"
)
// SolarEclipseType 全局日食食型, global solar eclipse type.
type SolarEclipseType string
const (
// SolarEclipseNone 无日食, no solar eclipse.
SolarEclipseNone SolarEclipseType = "none"
// SolarEclipsePartial 日偏食, partial solar eclipse.
SolarEclipsePartial SolarEclipseType = "partial"
// SolarEclipseAnnular 日环食, annular solar eclipse.
SolarEclipseAnnular SolarEclipseType = "annular"
// SolarEclipseTotal 日全食, total solar eclipse.
SolarEclipseTotal SolarEclipseType = "total"
// SolarEclipseHybrid 全环食, hybrid solar eclipse.
SolarEclipseHybrid SolarEclipseType = "hybrid"
)
// SolarEclipseCentrality 中心线进入地球的方式, global eclipse centrality.
type SolarEclipseCentrality string
const (
// SolarEclipseNonCentral 非中心食, non-central eclipse.
SolarEclipseNonCentral SolarEclipseCentrality = "non_central"
// SolarEclipseCentralOneLimit 单界中心食, central eclipse with one limit.
SolarEclipseCentralOneLimit SolarEclipseCentrality = "central_one_limit"
// SolarEclipseCentralTwoLimits 双界中心食, central eclipse with two limits.
SolarEclipseCentralTwoLimits SolarEclipseCentrality = "central_two_limits"
)
// SolarEclipseInfo 全局日食信息, global solar eclipse information.
//
// 所有时刻字段都保持用户输入的时区。
// 不存在的阶段使用零值 time.Time。
type SolarEclipseInfo struct {
// Model 日食月亮半径模型, eclipse lunar radius model.
Model SolarEclipseRadiusModel
// Type 全局食型, global eclipse type.
Type SolarEclipseType
// Centrality 中心性, eclipse centrality.
Centrality SolarEclipseCentrality
// HasSaros 存在沙罗序列信息, has Saros series metadata.
HasSaros bool
// Saros 是沙罗序列信息,包括系列号、系列内序号和总成员数。
// Saros is Saros series metadata with the series number, member index, and total member count.
Saros SarosInfo
// GreatestEclipse 食甚时刻, greatest eclipse.
GreatestEclipse time.Time
// PartialBeginOnEarth 地球范围偏食始, partial eclipse begins on Earth.
PartialBeginOnEarth time.Time
// PartialEndOnEarth 地球范围偏食终, partial eclipse ends on Earth.
PartialEndOnEarth time.Time
// CentralBeginOnEarth 地球范围中心食始, central eclipse begins on Earth.
CentralBeginOnEarth time.Time
// CentralEndOnEarth 地球范围中心食终, central eclipse ends on Earth.
CentralEndOnEarth time.Time
// Magnitude 全局食分, global eclipse magnitude.
Magnitude float64
// Gamma 食甚时影轴到地心的距离, gamma at greatest eclipse.
Gamma float64
// PathWidthKM 食甚处中心食带宽度, central path width at greatest eclipse.
PathWidthKM float64
// GreatestLongitude 食甚点经度,东正西负, longitude of greatest eclipse, east positive.
GreatestLongitude float64
// GreatestLatitude 食甚点纬度,北正南负, latitude of greatest eclipse, north positive.
GreatestLatitude float64
// HasPartial 存在偏食阶段, has partial phase.
HasPartial bool
// HasCentral 存在中心食阶段, has central phase.
HasCentral bool
// HasAnnular 存在环食阶段, has annular phase.
HasAnnular bool
// HasTotal 存在全食阶段, has total phase.
HasTotal bool
// HasHybrid 为混合食, is hybrid eclipse.
HasHybrid bool
}
// SolarEclipseOnDate 当地自然日全局日食查询 / local-date global solar eclipse query.
// Determine whether a global solar eclipse overlaps the local date, using NASA bulletin Split-K by default.
func SolarEclipseOnDate(date time.Time) (SolarEclipseInfo, bool) {
return SolarEclipseOnDateNASABulletinSplitK(date)
}
// SolarEclipseOnDateNASABulletinSplitK 当地自然日全局日食查询NASA bulletin Split-K / local-date global solar eclipse query with NASA bulletin Split-K.
// Determine whether a global solar eclipse overlaps the local date with the NASA bulletin Split-K model.
func SolarEclipseOnDateNASABulletinSplitK(date time.Time) (SolarEclipseInfo, bool) {
return solarEclipseOnDate(date, basic.SolarEclipseNASABulletinSplitK)
}
// SolarEclipseOnDateIAUSingleK 当地自然日全局日食查询IAU Single-K / local-date global solar eclipse query with IAU Single-K.
// Determine whether a global solar eclipse overlaps the local date with the IAU Single-K model.
func SolarEclipseOnDateIAUSingleK(date time.Time) (SolarEclipseInfo, bool) {
return solarEclipseOnDate(date, basic.SolarEclipseIAUSingleK)
}
func solarEclipseOnDate(date time.Time, calculator solarEclipseCalculator) (SolarEclipseInfo, bool) {
location := date.Location()
dayStart, dayMid, dayEnd := solarEclipseLocalDayBounds(date)
candidateTT := basic.CalcMoonSHByJDE(solarEclipseTimeToTTJDE(dayMid), 0)
result := calculator(candidateTT)
if result.Type == basic.SolarEclipseNone {
return SolarEclipseInfo{}, false
}
info := solarEclipseInfoFromBasic(result, location)
if !solarEclipseOverlapsDate(info, dayStart, dayEnd) {
return SolarEclipseInfo{}, false
}
return info, true
}
// LastSolarEclipse 上次日食 / previous solar eclipse.
// Previous solar eclipse, using NASA bulletin Split-K by default.
func LastSolarEclipse(date time.Time) SolarEclipseInfo {
return LastSolarEclipseNASABulletinSplitK(date)
}
// LastSolarEclipseNASABulletinSplitK 上次日食NASA bulletin Split-K / previous solar eclipse with NASA bulletin Split-K.
// Previous solar eclipse with the NASA bulletin Split-K model.
func LastSolarEclipseNASABulletinSplitK(date time.Time) SolarEclipseInfo {
info, _ := searchSolarEclipse(date, -1, true, basic.SolarEclipseNASABulletinSplitK)
return info
}
// LastSolarEclipseIAUSingleK 上次日食IAU Single-K / previous solar eclipse with IAU Single-K.
// Previous solar eclipse with the IAU Single-K model.
func LastSolarEclipseIAUSingleK(date time.Time) SolarEclipseInfo {
info, _ := searchSolarEclipse(date, -1, true, basic.SolarEclipseIAUSingleK)
return info
}
// NextSolarEclipse 下次日食 / next solar eclipse.
// Next solar eclipse, using NASA bulletin Split-K by default.
func NextSolarEclipse(date time.Time) SolarEclipseInfo {
return NextSolarEclipseNASABulletinSplitK(date)
}
// NextSolarEclipseNASABulletinSplitK 下次日食NASA bulletin Split-K / next solar eclipse with NASA bulletin Split-K.
// Next solar eclipse with the NASA bulletin Split-K model.
func NextSolarEclipseNASABulletinSplitK(date time.Time) SolarEclipseInfo {
info, _ := searchSolarEclipse(date, 1, false, basic.SolarEclipseNASABulletinSplitK)
return info
}
// NextSolarEclipseIAUSingleK 下次日食IAU Single-K / next solar eclipse with IAU Single-K.
// Next solar eclipse with the IAU Single-K model.
func NextSolarEclipseIAUSingleK(date time.Time) SolarEclipseInfo {
info, _ := searchSolarEclipse(date, 1, false, basic.SolarEclipseIAUSingleK)
return info
}
// ClosestSolarEclipse 最近一次日食 / closest solar eclipse.
// Closest solar eclipse, using NASA bulletin Split-K by default.
func ClosestSolarEclipse(date time.Time) SolarEclipseInfo {
return ClosestSolarEclipseNASABulletinSplitK(date)
}
// ClosestSolarEclipseNASABulletinSplitK 最近一次日食NASA bulletin Split-K / closest solar eclipse with NASA bulletin Split-K.
// Closest solar eclipse with the NASA bulletin Split-K model.
func ClosestSolarEclipseNASABulletinSplitK(date time.Time) SolarEclipseInfo {
last, hasLast := searchSolarEclipse(date, -1, true, basic.SolarEclipseNASABulletinSplitK)
next, hasNext := searchSolarEclipse(date, 1, false, basic.SolarEclipseNASABulletinSplitK)
return closestSolarEclipse(date, last, hasLast, next, hasNext)
}
// ClosestSolarEclipseIAUSingleK 最近一次日食IAU Single-K / closest solar eclipse with IAU Single-K.
// Closest solar eclipse with the IAU Single-K model.
func ClosestSolarEclipseIAUSingleK(date time.Time) SolarEclipseInfo {
last, hasLast := searchSolarEclipse(date, -1, true, basic.SolarEclipseIAUSingleK)
next, hasNext := searchSolarEclipse(date, 1, false, basic.SolarEclipseIAUSingleK)
return closestSolarEclipse(date, last, hasLast, next, hasNext)
}
func closestSolarEclipse(
date time.Time,
last SolarEclipseInfo,
hasLast bool,
next SolarEclipseInfo,
hasNext bool,
) SolarEclipseInfo {
switch {
case hasLast && !hasNext:
return last
case !hasLast && hasNext:
return next
case !hasLast && !hasNext:
return SolarEclipseInfo{}
}
lastDistance := math.Abs(date.Sub(last.GreatestEclipse).Seconds())
nextDistance := math.Abs(next.GreatestEclipse.Sub(date).Seconds())
if lastDistance <= nextDistance {
return last
}
return next
}
func searchSolarEclipse(
date time.Time,
direction int,
includeCurrent bool,
calculator solarEclipseCalculator,
) (SolarEclipseInfo, bool) {
targetTT := solarEclipseTimeToTTJDE(date)
candidateTT := basic.CalcMoonSHByJDE(targetTT, 0)
for i := 0; i < solarEclipseSearchLimit; i++ {
if isPotentialSolarEclipse(candidateTT) {
result := calculator(candidateTT)
if result.Type != basic.SolarEclipseNone && solarEclipseMatchesDirection(result.GreatestEclipse, targetTT, direction, includeCurrent) {
return solarEclipseInfoFromBasic(result, date.Location()), true
}
}
candidateTT = nextEclipseSearchCandidateTT(candidateTT, 0, direction, solarEclipseSynodicMonthDays)
}
return SolarEclipseInfo{}, false
}
func isPotentialSolarEclipse(newMoonTT float64) bool {
return math.Abs(basic.HMoonTrueBo(newMoonTT)) <= solarEclipseLatitudeLimitDeg
}
func solarEclipseMatchesDirection(greatestTT, targetTT float64, direction int, includeCurrent bool) bool {
delta := greatestTT - targetTT
if math.Abs(delta) <= solarEclipseSearchEpsilonDay {
return direction < 0 && includeCurrent
}
if direction > 0 {
return delta > 0
}
return delta < 0
}
func solarEclipseLocalDayBounds(date time.Time) (time.Time, time.Time, time.Time) {
location := date.Location()
dayStart := time.Date(date.Year(), date.Month(), date.Day(), 0, 0, 0, 0, location)
dayMid := time.Date(date.Year(), date.Month(), date.Day(), 12, 0, 0, 0, location)
dayEnd := time.Date(date.Year(), date.Month(), date.Day()+1, 0, 0, 0, 0, location)
return dayStart, dayMid, dayEnd
}
func nextSolarEclipseLocalDayStart(dayStart time.Time) time.Time {
location := dayStart.Location()
return time.Date(dayStart.Year(), dayStart.Month(), dayStart.Day()+1, 0, 0, 0, 0, location)
}
func solarEclipseInfoFromBasic(result basic.SolarEclipseResult, location *time.Location) SolarEclipseInfo {
saros, hasSaros := solarSarosInfo(result.GreatestEclipse)
return SolarEclipseInfo{
Model: mapBasicSolarEclipseModel(result.Model),
Type: mapBasicSolarEclipseType(result.Type),
Centrality: mapBasicSolarEclipseCentrality(result.Centrality),
HasSaros: hasSaros,
Saros: saros,
GreatestEclipse: solarEclipseTTJDEToTime(result.GreatestEclipse, location),
PartialBeginOnEarth: solarEclipseTTJDEToTime(result.PartialBeginOnEarth, location),
PartialEndOnEarth: solarEclipseTTJDEToTime(result.PartialEndOnEarth, location),
CentralBeginOnEarth: solarEclipseTTJDEToTime(result.CentralBeginOnEarth, location),
CentralEndOnEarth: solarEclipseTTJDEToTime(result.CentralEndOnEarth, location),
Magnitude: result.Magnitude,
Gamma: result.Gamma,
PathWidthKM: result.PathWidthKM,
GreatestLongitude: result.GreatestLongitude,
GreatestLatitude: result.GreatestLatitude,
HasPartial: result.HasPartial,
HasCentral: result.HasCentral,
HasAnnular: result.HasAnnular,
HasTotal: result.HasTotal,
HasHybrid: result.HasHybrid,
}
}
func mapBasicSolarEclipseModel(model basic.SolarEclipseRadiusModel) SolarEclipseRadiusModel {
switch model {
case basic.SolarEclipseModelIAUSingleK:
return SolarEclipseModelIAUSingleK
default:
return SolarEclipseModelNASABulletinSplitK
}
}
func mapBasicSolarEclipseType(eclipseType basic.SolarEclipseType) SolarEclipseType {
switch eclipseType {
case basic.SolarEclipsePartial:
return SolarEclipsePartial
case basic.SolarEclipseAnnular:
return SolarEclipseAnnular
case basic.SolarEclipseTotal:
return SolarEclipseTotal
case basic.SolarEclipseHybrid:
return SolarEclipseHybrid
default:
return SolarEclipseNone
}
}
func mapBasicSolarEclipseCentrality(centrality basic.SolarEclipseCentrality) SolarEclipseCentrality {
switch centrality {
case basic.SolarEclipseCentralOneLimit:
return SolarEclipseCentralOneLimit
case basic.SolarEclipseCentralTwoLimits:
return SolarEclipseCentralTwoLimits
default:
return SolarEclipseNonCentral
}
}
func solarEclipseOverlapsDate(info SolarEclipseInfo, dayStart, dayEnd time.Time) bool {
eventStart, eventEnd, ok := solarEclipseRange(info)
if !ok {
return false
}
return !eventEnd.Before(dayStart) && eventStart.Before(dayEnd)
}
func solarEclipseRange(info SolarEclipseInfo) (time.Time, time.Time, bool) {
if !info.HasPartial {
return time.Time{}, time.Time{}, false
}
return info.PartialBeginOnEarth, info.PartialEndOnEarth, true
}
func solarEclipseTTJDEToTime(ttJDE float64, location *time.Location) time.Time {
if ttJDE == 0 {
return time.Time{}
}
utcJDE := basic.TD2UT(ttJDE, false)
return basic.JDE2DateByZone(utcJDE, location, false)
}
func solarEclipseTimeToTTJDE(date time.Time) float64 {
utcJDE := basic.Date2JDE(date.UTC())
return basic.TD2UT(utcJDE, true)
}