Files
astro/basic/lunar_eclipse_geometry.go
T
b612 044f2f4381 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
2026-10-15 23:54:15 +08:00

81 lines
4.4 KiB
Go

package basic
import (
"math"
"b612.me/astro/internal/geodata"
)
// LunarEclipseShadowGeometry 是食甚时刻的地影几何。
// 注意单位口径:Gamma 用地球赤道半径,而两个影半径用度——后者是 NASA 月食图上 P./U. Radius 的口径,
// 换成地球赤道半径要乘以月球处的地球视差(弧度)。
// LunarEclipseShadowGeometry is the terrestrial-shadow geometry at maximum eclipse. Gamma is in Earth
// equatorial radii while the two shadow radii are in degrees, matching the P./U. Radius convention of
// NASA lunar-eclipse charts; multiply a radius by the Earth's parallax at the Moon to get Earth radii.
type LunarEclipseShadowGeometry struct {
// Gamma 是月心到地影轴的最小距离,单位地球赤道半径。
// Gamma is the least distance from the Moon's centre to the shadow axis, in Earth equatorial radii.
Gamma float64
// PenumbralRadiusDegrees 与 UmbralRadiusDegrees 是半影、本影在地影轴垂直面上的角半径,单位度。
// PenumbralRadiusDegrees and UmbralRadiusDegrees are the penumbral and umbral angular radii on the
// plane perpendicular to the shadow axis, in degrees.
PenumbralRadiusDegrees float64
UmbralRadiusDegrees float64
// MoonDistanceEarthRadii 是食甚时的地心月距,单位地球赤道半径。
// MoonDistanceEarthRadii is the geocentric lunar distance at greatest eclipse, in Earth equatorial radii.
MoonDistanceEarthRadii float64
// AxisDegrees 是食甚时月心到地影轴的角距,即 NASA 月食图上那列 Axis。
// 它与 Gamma 是同一个量的两种刻度:Gamma 除以月球处的地球视差就是它。
// AxisDegrees is the angular distance from the Moon's centre to the shadow axis at greatest eclipse,
// the column NASA lunar-eclipse charts print as Axis. It is the same quantity as Gamma on a different
// scale: divide Gamma by the Earth's parallax at the Moon.
AxisDegrees float64
}
// LunarEclipseShadowGeometryAt 用 Danjon 影半径模型计算食甚时刻的地影几何。
// LunarEclipseShadowGeometryAt computes the shadow geometry at maximum eclipse with the Danjon shadow model.
func LunarEclipseShadowGeometryAt(maximumJDE float64) LunarEclipseShadowGeometry {
return lunarEclipseShadowGeometryAt(maximumJDE, lunarEclipseShadowDanjon)
}
// LunarEclipseShadowGeometryChauvenetAt 用 Chauvenet 影半径模型计算食甚时刻的地影几何。
// LunarEclipseShadowGeometryChauvenetAt computes the shadow geometry with the Chauvenet shadow model.
func LunarEclipseShadowGeometryChauvenetAt(maximumJDE float64) LunarEclipseShadowGeometry {
return lunarEclipseShadowGeometryAt(maximumJDE, lunarEclipseShadowChauvenet)
}
// LunarEclipseShadowGeometryAtModel 按结果里记录的影半径模型取地影几何。
// LunarEclipseShadowGeometryAtModel picks the shadow geometry by the model recorded in a result.
func LunarEclipseShadowGeometryAtModel(maximumJDE float64, model LunarEclipseShadowModel) LunarEclipseShadowGeometry {
if model == LunarEclipseShadowModelChauvenet {
return LunarEclipseShadowGeometryChauvenetAt(maximumJDE)
}
return LunarEclipseShadowGeometryAt(maximumJDE)
}
func lunarEclipseShadowGeometryAt(maximumJDE float64, shadowModel lunarEclipseShadowModel) LunarEclipseShadowGeometry {
return lunarEclipseShadowGeometryAtWithInstance(maximumJDE, shadowModel, nil)
}
func lunarEclipseShadowGeometryAtWithInstance(maximumJDE float64, shadowModel lunarEclipseShadowModel, inst *Instance) LunarEclipseShadowGeometry {
evaluate := func(jde float64) lunarShadowState {
return computeLunarShadowStateWithInstance(jde, shadowModel, inst)
}
state := evaluate(maximumJDE)
moonDistanceKM := HMoonAwayWithInstance(maximumJDE, inst)
// 影半径是以地心为顶点的角量,除以月球处的地球视差就换成地球赤道半径。
earthParallax := geodata.EarthEquatorialRadiusKM / moonDistanceKM
_, _, _, _, minimumDistance := refineLunarEclipseMaximumWithEvaluator(maximumJDE, evaluate)
if earthParallax <= 0 {
return LunarEclipseShadowGeometry{}
}
return LunarEclipseShadowGeometry{
Gamma: minimumDistance / earthParallax,
PenumbralRadiusDegrees: state.penumbraRadiusRad * 180 / math.Pi,
UmbralRadiusDegrees: state.umbraRadiusRad * 180 / math.Pi,
MoonDistanceEarthRadii: moonDistanceKM / geodata.EarthEquatorialRadiusKM,
// 平面 x 向东(黄经差)、y 向北(黄纬和),方位角自北向东量。
AxisDegrees: minimumDistance * 180 / math.Pi,
}
}