feat: 完善日月食与月掩几何链路并扩展历法接口

- 新增日月食中心带、偏食带、阴影足迹、等时线、食分线及升落边界计算，支持极区与混合食拓扑
- 新增日食单时刻阴影求解器、站心状态查询、批量采样和 ΔT 覆盖接口
- 重构恒星与行星月掩路径，补充有限盘面接触、站心修正、掩带宽度、极区投影及升落边界
- 扩展 SVG 与 GeoJSON 输出，支持详细面板、全球/极区/地球投影、边界闭合、时间标记和拓扑签名
- 扩展日月食候选搜索、局地搜索、沙罗序列预计算与范围外推，补充系列锚点和成员一致性校验
- 补齐古历纪年、儒略历独有闰日、多公历候选、历法改革跨日及精确日期运算接口
- 优化 ΔT、章动、恒星时、月球地平线、事件根搜索和本地星历缓存，降低重复计算开销并提升边界稳定

jupiter/phenomena_test.go

@@ -2,13 +2,18 @@ package jupiter
 
 import (
 	"encoding/json"
+	"fmt"
 	"math"
 	"os"
 	"testing"
 	"time"
+
+	"b612.me/astro/basic"
 )
 
-const galileanShadowToleranceArcsec = 0.2
+// 基线 shadow 值按 TDB/TT 逆行历元（UTC 观测时刻换算 ΔT 后再减光行时）标定；
+// 按 UTC 瞬时求值会让整条曲线平移 ΔT（Io 约 0.46″）并被本容差拒绝。
+const galileanShadowToleranceArcsec = 0.15
 
 type galileanPhenomenaSample struct {
 	UTC       string                                   `json:"utc"`
@@ -103,3 +108,19 @@ func selectGalileanPhenomenon(info GalileanPhenomenaInfo, name string) GalileanS
 		panic("unknown satellite: " + name)
 	}
 }
+
+func TestGalileanPhenomenaUseTTFrame(t *testing.T) {
+	dates := []time.Time{
+		time.Date(1999, 1, 1, 2, 0, 0, 0, time.UTC),
+		time.Date(2000, 1, 1, 14, 0, 0, 0, time.UTC),
+		time.Date(2026, 4, 2, 20, 0, 0, 0, time.UTC),
+	}
+	for _, date := range dates {
+		want := basic.JupiterGalileanSatellitePhenomena(basic.TD2UT(basic.Date2JDE(date.UTC()), true))
+		got := SatellitePhenomena(date)
+		phenomena := []GalileanSatellitePhenomenon{got.Io, got.Europa, got.Ganymede, got.Callisto}
+		for i, phenomenon := range phenomena {
+			assertSameGalileanPhenomenon(t, fmt.Sprintf("date=%s satellite=%d TT frame", date, i+1), phenomenon, want[i])
+		}
+	}
+}