81 lines
3.3 KiB
Go
81 lines
3.3 KiB
Go
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package basic
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import (
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"testing"
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"time"
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. "b612.me/astro/tools"
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)
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func TestMoonTopocentricPhysicalMatchesCorrectionMethod(t *testing.T) {
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jd := TD2UT(Date2JDE(testTime(2026, 4, 28, 9, 30, 45)), true)
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observerLon := 121.4737
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observerLat := 31.2304
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got := MoonTopocentricPhysical(jd, observerLon, observerLat, 0)
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want := moonTopocentricPhysicalByCorrection(jd, observerLon, observerLat)
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assertPlanetPhaseClose(t, "MoonTopocentricPhysical.LibrationLongitude", got.LibrationLongitude, want.LibrationLongitude, 0.1)
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assertPlanetPhaseClose(t, "MoonTopocentricPhysical.LibrationLatitude", got.LibrationLatitude, want.LibrationLatitude, 0.1)
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assertPlanetPhaseClose(t, "MoonTopocentricPhysical.PositionAngle", got.PositionAngle, want.PositionAngle, 0.1)
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}
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func TestMoonTopocentricPhysicalSampleSweepFiniteAndInRange(t *testing.T) {
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samples := []struct {
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name string
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jd float64
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observerLon float64
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observerLat float64
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height float64
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}{
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{"shanghai", TD2UT(Date2JDE(testTime(2026, 4, 28, 9, 30, 45)), true), 121.4737, 31.2304, 4},
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{"chicago", TD2UT(Date2JDE(testTime(2024, 3, 25, 7, 0, 0)), true), -87.65, 41.85, 180},
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}
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for _, sample := range samples {
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info := MoonTopocentricPhysical(sample.jd, sample.observerLon, sample.observerLat, sample.height)
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prefix := sample.name + "."
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assertFiniteRange(t, prefix+"OpticalLongitude", info.OpticalLongitude, -180, 180, false)
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assertFiniteRange(t, prefix+"OpticalLatitude", info.OpticalLatitude, -90, 90, false)
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assertFiniteRange(t, prefix+"PhysicalLongitude", info.PhysicalLongitude, -180, 180, false)
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assertFiniteRange(t, prefix+"PhysicalLatitude", info.PhysicalLatitude, -90, 90, false)
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assertFiniteRange(t, prefix+"LibrationLongitude", info.LibrationLongitude, -180, 180, false)
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assertFiniteRange(t, prefix+"LibrationLatitude", info.LibrationLatitude, -90, 90, false)
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assertFiniteRange(t, prefix+"PositionAngle", info.PositionAngle, -90, 90, false)
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}
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}
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func moonTopocentricPhysicalByCorrection(jd, observerLon, observerLat float64) MoonPhysicalInfo {
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geocentric := MoonPhysical(jd)
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moonRA := HMoonTrueRa(jd)
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moonDec := HMoonTrueDec(jd)
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hourAngle := StarHourAngle(TD2UT(jd, false), moonRA, observerLon, 0)
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horizontalParallax := ArcSin(6378.1366 / HMoonAway(jd))
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Q := ArcTan2(
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Cos(moonDec)*Sin(hourAngle),
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Cos(moonDec)*Sin(observerLat)-Sin(moonDec)*Cos(observerLat)*Cos(hourAngle),
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)
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z := ArcCos(Sin(moonDec)*Sin(observerLat) + Cos(moonDec)*Cos(observerLat)*Cos(hourAngle))
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piPrime := horizontalParallax * (Sin(z) + 0.0084*Sin(2*z))
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deltaL := -piPrime * Sin(Q-geocentric.PositionAngle) / Cos(geocentric.LibrationLatitude)
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deltaB := piPrime * Cos(Q-geocentric.PositionAngle)
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deltaP := deltaL*Sin(geocentric.LibrationLatitude+deltaB) - piPrime*Sin(Q)*Tan(moonDec)
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return MoonPhysicalInfo{
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OpticalLongitude: geocentric.OpticalLongitude,
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OpticalLatitude: geocentric.OpticalLatitude,
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PhysicalLongitude: geocentric.PhysicalLongitude,
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PhysicalLatitude: geocentric.PhysicalLatitude,
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LibrationLongitude: wrapSignedAngle180(geocentric.LibrationLongitude + deltaL),
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LibrationLatitude: geocentric.LibrationLatitude + deltaB,
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PositionAngle: geocentric.PositionAngle + deltaP,
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}
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}
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func testTime(year int, month time.Month, day, hour, minute, second int) time.Time {
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return time.Date(year, month, day, hour, minute, second, 0, time.UTC)
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}
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