package eclipse import ( "math" "testing" "time" ) func solarEclipsePanelFormatRA(degrees float64) (int, int, float64) { total := math.Mod(degrees, 360) / 15 hours := int(total) minutes := int((total - float64(hours)) * 60) seconds := ((total-float64(hours))*60 - float64(minutes)) * 60 return hours, minutes, seconds } // 地心量面板要与 NASA 星历表同量级:视半径/视差/天平动/月序数逐项对拍 2009-07-22。 func TestSolarEclipseGeocentricPanelMatchesNASABulletin(t *testing.T) { panel, ok := SolarEclipseGeocentricPanelAt(time.Date(2009, time.July, 22, 0, 0, 0, 0, time.UTC)) if !ok { t.Fatal("missing eclipse") } sunHours, sunMinutes, sunSeconds := solarEclipsePanelFormatRA(panel.SunRightAscensionDeg) t.Logf("sun R.A. %02dh%02dm%04.1fs Dec %+.4f S.D. %.1f\" H.P. %.1f\"", sunHours, sunMinutes, sunSeconds, panel.SunDeclinationDeg, panel.SunSemidiameterArcsec, panel.SunParallaxArcsec) moonHours, moonMinutes, moonSeconds := solarEclipsePanelFormatRA(panel.MoonRightAscensionDeg) t.Logf("moon R.A. %02dh%02dm%04.1fs Dec %+.4f S.D. %.1f\" H.P. %.1f\"", moonHours, moonMinutes, moonSeconds, panel.MoonDeclinationDeg, panel.MoonSemidiameterArcsec, panel.MoonParallaxArcsec) t.Logf("libration l=%+.2f b=%+.2f c=%.2f Brown=%d ΔT=%.1fs k1=%.7f k2=%.7f", panel.LibrationLongitudeDeg, panel.LibrationLatitudeDeg, panel.LibrationPositionAngleDeg, panel.BrownLunationNumber, panel.DeltaTSeconds, panel.PenumbralK, panel.UmbralK) // NASA 2009-07-22:太阳 00°15'44.1" / 00°00'08.7",月亮 00°16'42.3" / 01°01'19.8"。 if math.Abs(panel.SunSemidiameterArcsec-944.1) > 1.5 { t.Fatalf("sun semidiameter = %.1f\", want 944.1", panel.SunSemidiameterArcsec) } if math.Abs(panel.SunParallaxArcsec-8.7) > 0.4 { t.Fatalf("sun parallax = %.1f\", want 8.7", panel.SunParallaxArcsec) } if math.Abs(panel.MoonSemidiameterArcsec-1002.3) > 2 { t.Fatalf("moon semidiameter = %.1f\", want 1002.3", panel.MoonSemidiameterArcsec) } if math.Abs(panel.MoonParallaxArcsec-3679.8) > 4 { t.Fatalf("moon parallax = %.1f\", want 3679.8", panel.MoonParallaxArcsec) } if panel.BrownLunationNumber != 1071 { t.Fatalf("brown lunation = %d, want 1071", panel.BrownLunationNumber) } if math.Abs(panel.LibrationLongitudeDeg-0.67) > 0.05 || math.Abs(panel.LibrationPositionAngleDeg-10.52) > 0.05 { t.Fatalf("libration l=%.2f c=%.2f, want +0.67 / 10.52", panel.LibrationLongitudeDeg, panel.LibrationPositionAngleDeg) } if panel.Conjunction.IsZero() || panel.Conjunction.After(panel.Conjunction.Add(time.Hour)) { t.Fatal("conjunction instant missing") } t.Logf("conjunction (equal apparent ecliptic longitude) %s", panel.Conjunction.UTC().Format("15:04:05.0")) t.Logf("conjunction (equal apparent right ascension) %s", panel.RightAscensionConjunction.UTC().Format("15:04:05.0")) // NASA 全球图的 Geocentric Conjunction 取视赤经相等,2009-07-22 为 02:33:04.4 UT。 nasa := time.Date(2009, time.July, 22, 2, 33, 4, 0, time.UTC) if delta := panel.RightAscensionConjunction.Sub(nasa).Seconds(); math.Abs(delta) > 2 { t.Fatalf("right-ascension conjunction %s differs from NASA by %.1f s", panel.RightAscensionConjunction.Format("15:04:05.0"), delta) } // 该时差只约束本事件,不代表两种合时刻的普遍关系。 if delta := panel.Conjunction.Sub(panel.RightAscensionConjunction).Seconds(); delta < 60 || delta > 120 { t.Fatalf("for 2009-07-22 the new moon is %.1f s after the right-ascension conjunction (event-specific, want 60..120 s)", delta) } } // 两种合时刻的差值随几何变化,符号也会改变。 func TestGeocentricConjunctionGapIsNotConstant(t *testing.T) { cases := []struct { date string want float64 }{ {"2004-04-19", -3090.6}, {"2007-09-11", 3529.6}, {"2009-07-22", -90.2}, {"2025-09-21", 3368.4}, } minGap, maxGap := math.Inf(1), math.Inf(-1) for _, tc := range cases { date, err := time.Parse("2006-01-02", tc.date) if err != nil { t.Fatal(err) } panel, ok := SolarEclipseGeocentricPanelAt(date.Add(12 * time.Hour)) if !ok { t.Fatalf("%s 不是日食日", tc.date) } gap := panel.RightAscensionConjunction.Sub(panel.Conjunction).Seconds() if math.Abs(gap-tc.want) > 30 { t.Errorf("%s 两者相差 %.1f s, want %.1f±30 s", tc.date, gap, tc.want) } minGap, maxGap = math.Min(minGap, gap), math.Max(maxGap, gap) } if minGap > -1200 || maxGap < 1200 { t.Errorf("样本应同时出现提前与推后超过 20 分钟的事件,got %.1f … %.1f s", minGap, maxGap) } if maxGap-minGap < 3000 { t.Errorf("样本跨度 %.1f s,不足以说明该差值不是常数", maxGap-minGap) } }