Ryan Malloy
b0741c553b
Annual stellar aberration (~20 arcsec) added to all 6 existing _apparent() functions via classical first-order v/c projection (Ron & Vondrak). Earth velocity sourced from VSOP87 xyz[3..5] (analytic) or DE numerical differentiation. New functions (106 -> 114): - eq_angular_distance(): Vincenty formula, stable at 0 and 180 deg - eq_within_cone(): cosine shortcut for fast cone-search predicate - <-> operator on equatorial type - 6 DE apparent variants with VSOP87 fallback: planet/sun/moon_observe_apparent_de(), planet/moon_equatorial_apparent_de(), small_body_observe_apparent_de() Stellar parallax now functional in star_observe_pm() and star_equatorial_pm() — Green (1985) Eq. 11.3 displacement using Earth heliocentric position from VSOP87. All 19 regression suites pass (18 existing + new aberration suite).
189 lines
9.4 KiB
SQL
189 lines
9.4 KiB
SQL
-- aberration regression tests
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--
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-- Tests annual aberration in _apparent() functions, DE apparent variants,
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-- equatorial angular distance/cone search, and stellar annual parallax.
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\set boulder '''40.015N 105.270W 1655m'''::observer
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-- ============================================================
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-- Test 1: Aberration magnitude — planet_equatorial_apparent
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-- vs planet_equatorial (geometric). Jupiter aberration should
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-- be in the range 0-20 arcsec (~0.001 hours at Jupiter's dec).
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-- ============================================================
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SELECT 'aberration_planet' AS test,
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round((abs(
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eq_ra(planet_equatorial_apparent(5, '2024-06-21 12:00:00+00'))
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- eq_ra(planet_equatorial(5, '2024-06-21 12:00:00+00'))
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) * 3600 * 15)::numeric, 0) AS diff_arcsec,
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abs(
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eq_ra(planet_equatorial_apparent(5, '2024-06-21 12:00:00+00'))
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- eq_ra(planet_equatorial(5, '2024-06-21 12:00:00+00'))
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) * 3600 * 15 BETWEEN 1 AND 50 AS magnitude_valid;
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-- ============================================================
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-- Test 2: Aberration magnitude — sun_observe_apparent vs sun_observe
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-- Sun aberration should be ~20 arcsec (Earth orbital velocity).
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-- Compare elevations (both from same observer, same time).
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-- ============================================================
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SELECT 'aberration_sun' AS test,
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round((abs(
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topo_elevation(sun_observe_apparent(:boulder, '2024-06-21 12:00:00+00'))
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- topo_elevation(sun_observe(:boulder, '2024-06-21 12:00:00+00'))
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) * 3600)::numeric, 0) AS diff_arcsec,
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abs(
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topo_elevation(sun_observe_apparent(:boulder, '2024-06-21 12:00:00+00'))
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- topo_elevation(sun_observe(:boulder, '2024-06-21 12:00:00+00'))
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) * 3600 BETWEEN 1 AND 25 AS magnitude_valid;
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-- ============================================================
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-- Test 3: Moon aberration should be present (same ~20 arcsec
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-- as all other objects — aberration depends on observer velocity,
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-- not object distance).
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-- ============================================================
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SELECT 'aberration_moon' AS test,
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round((abs(
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eq_ra(moon_equatorial_apparent('2024-06-21 12:00:00+00'))
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- eq_ra(moon_equatorial('2024-06-21 12:00:00+00'))
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) * 3600 * 15)::numeric, 0) AS diff_arcsec,
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abs(
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eq_ra(moon_equatorial_apparent('2024-06-21 12:00:00+00'))
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- eq_ra(moon_equatorial('2024-06-21 12:00:00+00'))
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) * 3600 * 15 BETWEEN 1 AND 25 AS magnitude_valid;
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-- ============================================================
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-- Test 4: DE apparent fallback — without DE configured,
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-- _apparent_de() should match _apparent() exactly.
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-- ============================================================
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SELECT 'de_apparent_fallback' AS test,
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round(eq_ra(planet_equatorial_apparent_de(5, '2024-06-21 12:00:00+00'))::numeric, 6) =
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round(eq_ra(planet_equatorial_apparent(5, '2024-06-21 12:00:00+00'))::numeric, 6) AS planet_match,
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round(eq_ra(moon_equatorial_apparent_de('2024-06-21 12:00:00+00'))::numeric, 6) =
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round(eq_ra(moon_equatorial_apparent('2024-06-21 12:00:00+00'))::numeric, 6) AS moon_match;
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-- ============================================================
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-- Test 5: DE apparent topocentric fallback
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-- ============================================================
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SELECT 'de_topo_fallback' AS test,
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round(topo_elevation(planet_observe_apparent_de(5, :boulder, '2024-06-21 12:00:00+00'))::numeric, 4) =
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round(topo_elevation(planet_observe_apparent(5, :boulder, '2024-06-21 12:00:00+00'))::numeric, 4) AS planet_match,
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round(topo_elevation(sun_observe_apparent_de(:boulder, '2024-06-21 12:00:00+00'))::numeric, 4) =
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round(topo_elevation(sun_observe_apparent(:boulder, '2024-06-21 12:00:00+00'))::numeric, 4) AS sun_match,
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topo_elevation(moon_observe_apparent_de(:boulder, '2024-06-21 12:00:00+00')) BETWEEN -90 AND 90 AS moon_valid;
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-- ============================================================
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-- Test 6: Small body DE apparent fallback
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-- ============================================================
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SELECT 'de_smallbody_fallback' AS test,
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round(topo_elevation(small_body_observe_apparent_de(
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'(2460400.5,2.5577,0.0785,0.1849,1.2836,1.4013,2460500.0,3.53,0.12)'::orbital_elements,
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:boulder, '2024-06-21 12:00:00+00'))::numeric, 4) =
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round(topo_elevation(small_body_observe_apparent(
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'(2460400.5,2.5577,0.0785,0.1849,1.2836,1.4013,2460500.0,3.53,0.12)'::orbital_elements,
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:boulder, '2024-06-21 12:00:00+00'))::numeric, 4) AS match;
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-- ============================================================
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-- Test 7: Angular distance — Dubhe and Merak (Big Dipper pointers)
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-- Dubhe: RA 11.062h, Dec 61.751 deg
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-- Merak: RA 11.031h, Dec 56.382 deg
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-- Expected separation: ~5.4 degrees
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-- ============================================================
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SELECT 'angular_distance' AS test,
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round(eq_angular_distance(
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star_equatorial(11.062, 61.751, '2024-06-21 12:00:00+00'),
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star_equatorial(11.031, 56.382, '2024-06-21 12:00:00+00')
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)::numeric, 1) AS sep_deg;
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-- ============================================================
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-- Test 8: Angular distance — same position should be 0
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-- ============================================================
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SELECT 'angular_distance_zero' AS test,
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round(eq_angular_distance(
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'(12.00000000,45.00000000,0.000)'::equatorial,
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'(12.00000000,45.00000000,0.000)'::equatorial
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)::numeric, 6) AS sep_deg;
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-- ============================================================
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-- Test 9: Angular distance — opposite poles should be 180
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-- ============================================================
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SELECT 'angular_distance_poles' AS test,
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round(eq_angular_distance(
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'(0.00000000,90.00000000,0.000)'::equatorial,
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'(0.00000000,-90.00000000,0.000)'::equatorial
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)::numeric, 1) AS sep_deg;
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-- ============================================================
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-- Test 10: <-> operator (same as eq_angular_distance)
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-- ============================================================
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SELECT 'operator_arrow' AS test,
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round((
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star_equatorial(11.062, 61.751, '2024-06-21 12:00:00+00')
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<->
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star_equatorial(11.031, 56.382, '2024-06-21 12:00:00+00')
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)::numeric, 1) AS sep_deg;
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-- ============================================================
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-- Test 11: Cone search — Polaris within 5 deg of NCP
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-- ============================================================
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SELECT 'cone_inside' AS test,
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eq_within_cone(
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star_equatorial(2.530303, 89.2641, '2024-06-21 12:00:00+00'),
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'(0.00000000,90.00000000,0.000)'::equatorial,
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5.0
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) AS inside;
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-- ============================================================
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-- Test 12: Cone search — Sirius not within 5 deg of NCP
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-- ============================================================
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SELECT 'cone_outside' AS test,
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eq_within_cone(
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star_equatorial(6.7525, -16.7161, '2024-06-21 12:00:00+00'),
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'(0.00000000,90.00000000,0.000)'::equatorial,
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5.0
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) AS inside;
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-- ============================================================
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-- Test 13: Stellar parallax — Proxima Centauri (768 mas)
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-- Compare with-parallax vs without-parallax at the SAME epoch
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-- to isolate the parallax displacement from proper motion and
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-- precession. Expected: ~0.2-1.5 arcsec depending on Earth's
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-- orbital phase (max near quadrature for this RA).
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-- Proxima: RA 14.495h, Dec -62.679 deg
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-- ============================================================
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SELECT 'stellar_parallax' AS test,
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round((abs(
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eq_ra(star_equatorial_pm(14.495, -62.679, -3775.40, 769.33, 768.07, -21.7,
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'2024-03-20 12:00:00+00'))
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- eq_ra(star_equatorial_pm(14.495, -62.679, -3775.40, 769.33, 0.0, -21.7,
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'2024-03-20 12:00:00+00'))
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) * 3600 * 15)::numeric, 2) AS shift_arcsec,
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abs(
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eq_ra(star_equatorial_pm(14.495, -62.679, -3775.40, 769.33, 768.07, -21.7,
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'2024-03-20 12:00:00+00'))
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- eq_ra(star_equatorial_pm(14.495, -62.679, -3775.40, 769.33, 0.0, -21.7,
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'2024-03-20 12:00:00+00'))
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) * 3600 * 15 BETWEEN 0.01 AND 2.0 AS magnitude_valid;
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-- ============================================================
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-- Test 14: Parallax = 0 should not change star position
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-- (same as without parallax)
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-- ============================================================
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SELECT 'parallax_zero' AS test,
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round(eq_ra(star_equatorial_pm(14.495, -62.679, -3775.40, 769.33, 0.0, -21.7,
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'2024-06-21 12:00:00+00'))::numeric, 6) =
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round(eq_ra(star_equatorial_pm(14.495, -62.679, -3775.40, 769.33, 0.0, -21.7,
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'2024-06-21 12:00:00+00'))::numeric, 6) AS match;
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-- ============================================================
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-- Test 15: star_observe_pm parallax affects topocentric result
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-- Barnard's Star with parallax should differ from without
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-- ============================================================
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SELECT 'parallax_topo' AS test,
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abs(
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topo_elevation(star_observe_pm(
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17.963472, 4.6933, -798.58, 10328.12, 545.4, -110.51,
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:boulder, '2024-07-15 04:00:00+00'))
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- topo_elevation(star_observe_pm(
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17.963472, 4.6933, -798.58, 10328.12, 0.0, -110.51,
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:boulder, '2024-07-15 04:00:00+00'))
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) * 3600 BETWEEN 0.01 AND 2.0 AS displacement_valid;
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