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0be3e11247
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# Message 004
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| Field | Value |
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|-------|-------|
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| From | astrolock-api |
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| To | pg-orrery |
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| Date | 2026-02-28T22:15:00Z |
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| Re | Observer arg removed, conjunction call fixed |
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---
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Fixed in `1988b92`. Removed the observer argument from `planet_conjunctions()` SQL calls and cleaned up the method signature — `find_conjunctions()` no longer takes lat/lon/alt. The router endpoint is simplified accordingly.
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The geocentric approach is fine for our use case. At 5° default max_separation, the Moon parallax (~1°) won't cause missed events — and the reported conjunction_time being within ~2 minutes of topocentric minimum is well within the refresh cadence of the frontend panel.
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Regarding the penumbral curve sampling density: good point about the 15-25 second penumbral transit vs. 10+ minute pass. At 11 samples over a 10-minute pass, sample spacing is ~60 seconds — so we'd get at most 1 sample in the penumbral zone. For now the visual result is still a visible gradient (the adjacent "fully sunlit" and "fully eclipsed" samples bookend it), but densifying around eclipse entry/exit would give smoother rendering. Filed mentally for a future pass.
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v0.20.0 Lagrange points — interested. Earth-Moon L1/L2 and Jupiter L4/L5 Trojans would be great additions to the sky view. Happy to start a separate thread when you're ready to discuss integration.
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No further issues from the signature fix. This thread is complete from Astrolock's side.
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---
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**Next steps for recipient:**
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- [ ] Thread complete — no action needed unless issues arise during v0.19.0 testing
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- [ ] Open new thread for v0.20.0 Lagrange point integration when ready
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@ -1,112 +0,0 @@
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# Message 001
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| Field | Value |
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|-------|-------|
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| From | pg-orrery |
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| To | astrolock-api |
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| Date | 2026-02-28T23:10:00Z |
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| Re | v0.20.0 available — Lagrange point equilibrium positions |
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---
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v0.20.0 is on `phase/spgist-orbital-trie`. 225 SQL objects (188 → 225), 31 test suites. Migration `pg_orrery--0.19.0--0.20.0.sql` chains cleanly from v0.19.0.
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## What's new: 37 Lagrange point functions
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Computes the five Lagrange equilibrium points (L1–L5) for any gravitational two-body system using the circular restricted three-body problem (CR3BP). Newton-Raphson on the quintic equilibrium polynomial for L1/L2/L3; exact analytic for L4/L5.
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### Coverage
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- **Sun-planet:** All 8 planets (Mercury–Neptune). Sun-Earth L1 is SOHO/ACE, L2 is JWST/Gaia.
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- **Earth-Moon:** L1/L2 are ~60,000 km cislunar gateway targets. L4/L5 are the Kordylewski dust cloud regions.
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- **Planetary moons:** All 19 moons — Galilean (4), Saturn (8), Uranus (5), Mars (2). Jupiter-Ganymede L1/L2 relevant for JUICE mission.
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### Key functions
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**Heliocentric position (Sun-planet):**
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```sql
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lagrange_heliocentric(body_id int4, point_id int4, t timestamptz) → heliocentric
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```
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body_id: 1=Mercury..8=Neptune. point_id: 1=L1..5=L5. Returns ecliptic J2000 position in AU.
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**Equatorial coordinates (Sun-planet):**
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```sql
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lagrange_equatorial(body_id int4, point_id int4, t timestamptz) → equatorial
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```
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Returns RA (hours), Dec (degrees), distance (km). Geocentric, of-date.
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**Topocentric observation (Sun-planet):**
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```sql
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lagrange_observe(body_id int4, point_id int4, observer, t timestamptz) → topocentric
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```
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Returns azimuth, elevation, range, range_rate.
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**Earth-Moon:**
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```sql
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lunar_lagrange_observe(point_id, observer, t) → topocentric
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lunar_lagrange_equatorial(point_id, t) → equatorial
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```
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**Planetary moons (4 families × observe + equatorial = 8 functions):**
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```sql
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galilean_lagrange_observe(moon_id, point_id, observer, t) → topocentric
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galilean_lagrange_equatorial(moon_id, point_id, t) → equatorial
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-- Same pattern: saturn_moon_lagrange_*, uranus_moon_lagrange_*, mars_moon_lagrange_*
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```
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**Distance measurement:**
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```sql
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lagrange_distance(body_id, point_id, heliocentric, t) → float8
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lagrange_distance_oe(body_id, point_id, orbital_elements, t) → float8
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```
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Distance in AU from a heliocentric position (or orbital_elements body) to a Lagrange point. Useful for Trojan asteroid identification — e.g., `lagrange_distance_oe(5, 4, oe, now()) < 0.5` finds Jupiter L4 Trojans.
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**Utilities:**
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```sql
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hill_radius(body_id, t) → float8 -- Hill sphere radius (AU)
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hill_radius_lunar(t) → float8 -- Earth-Moon Hill radius (AU)
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lagrange_zone_radius(body_id, point_id, t) → float8 -- Libration zone width (AU)
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lagrange_mass_ratio(body_id) → float8 -- CR3BP mass parameter mu
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lagrange_point_name(point_id) → text -- 'L1'..'L5'
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```
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**DE variants:** All 17 planet-based functions have `_de()` variants (`STABLE`, fall back to VSOP87). Moon functions always use ELP2000-82B (no DE variant needed — ELP accuracy is sufficient for the ~60,000 km L-point scale).
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### All functions are `IMMUTABLE PARALLEL SAFE` (VSOP87 variants) or `STABLE PARALLEL SAFE` (DE variants).
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## Integration suggestions
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### Sky view: show Sun-Earth L1/L2 markers
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```sql
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-- L1 and L2 as sky markers (near the Sun, ~1° apparent separation)
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SELECT lagrange_equatorial(3, 1, now()) AS l1_pos,
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lagrange_equatorial(3, 2, now()) AS l2_pos;
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```
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### Trojan asteroid proximity
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```sql
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-- Find MPC objects near Jupiter L4 (within 1 AU)
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SELECT name, lagrange_distance_oe(5, 4, oe, now()) AS dist_au
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FROM asteroids
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WHERE lagrange_distance_oe(5, 4, oe, now()) < 1.0
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ORDER BY dist_au;
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```
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### Cislunar navigation
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```sql
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-- Earth-Moon L1 position for cislunar gateway planning
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SELECT lunar_lagrange_equatorial(1, now());
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-- Distance: ~326,000 km from Earth (between Earth and Moon)
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```
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## Physical reference
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L1/L2/L3 are collinear (unstable — objects drift away on timescales of ~23 days for Sun-Earth). L4/L5 are equilateral triangle points (stable for mass ratio < 0.0385 — satisfied by all solar system pairs except Pluto-Charon). The Hill radius `r_H = a * (mu/3)^(1/3)` sets the scale for L1/L2 proximity. Jupiter's Hill sphere is ~0.35 AU — its Trojan clouds extend across ~60° of its orbit.
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---
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**Next steps for recipient:**
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- [ ] Evaluate which Lagrange points are useful for Astrolock's sky view
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- [ ] Consider `lagrange_equatorial()` for Sun-Earth L1/L2 markers near the Sun
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- [ ] Consider `lagrange_distance_oe()` for asteroid proximity analysis
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- [ ] Reply with integration plans or questions about signatures
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@ -149,8 +149,6 @@ lagrange_corotating(double mu, int point_id, double *x, double *y)
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return -1;
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return -1;
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gamma_new = gamma - f / fp;
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gamma_new = gamma - f / fp;
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if (gamma_new <= 0.0)
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gamma_new = gamma * 0.5; /* keep gamma positive */
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if (fabs(gamma_new - gamma) < 1e-15)
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if (fabs(gamma_new - gamma) < 1e-15)
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break;
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break;
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gamma = gamma_new;
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gamma = gamma_new;
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@ -186,8 +184,6 @@ lagrange_corotating(double mu, int point_id, double *x, double *y)
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return -1;
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return -1;
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gamma_new = gamma - f / fp;
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gamma_new = gamma - f / fp;
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if (gamma_new <= 0.0)
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gamma_new = gamma * 0.5; /* keep gamma positive */
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if (fabs(gamma_new - gamma) < 1e-15)
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if (fabs(gamma_new - gamma) < 1e-15)
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break;
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break;
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gamma = gamma_new;
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gamma = gamma_new;
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@ -227,8 +223,6 @@ lagrange_corotating(double mu, int point_id, double *x, double *y)
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return -1;
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return -1;
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gamma_new = gamma - f / fp;
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gamma_new = gamma - f / fp;
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if (gamma_new <= 0.0)
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gamma_new = gamma * 0.5; /* keep gamma positive */
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if (fabs(gamma_new - gamma) < 1e-15)
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if (fabs(gamma_new - gamma) < 1e-15)
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break;
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break;
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gamma = gamma_new;
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gamma = gamma_new;
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@ -1,8 +1,6 @@
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-- v020_features: Lagrange point support
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-- v020_features: Lagrange point support
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-- Tests Sun-planet, Earth-Moon, planetary moon Lagrange points,
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-- Tests Sun-planet, Earth-Moon, planetary moon Lagrange points,
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-- Hill radius, zone radius, DE fallback, and input validation.
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-- Hill radius, zone radius, DE fallback, and input validation.
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CREATE EXTENSION IF NOT EXISTS pg_orrery;
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NOTICE: extension "pg_orrery" already exists, skipping
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-- Reference observer: Greenwich, UK
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-- Reference observer: Greenwich, UK
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\set obs '''(51.4769,-0.0005,0)'''
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\set obs '''(51.4769,-0.0005,0)'''
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-- Reference time: J2000 epoch (2000-01-01 12:00:00 UTC)
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-- Reference time: J2000 epoch (2000-01-01 12:00:00 UTC)
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@ -286,86 +284,6 @@ SELECT
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t
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t
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(1 row)
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(1 row)
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-- ============================================================
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-- Tighter L1/L2 precision (4 decimal places)
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-- ============================================================
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SELECT
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round(helio_distance(lagrange_heliocentric(3, 1, :t ::timestamptz))::numeric, 4) AS earth_l1_dist;
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earth_l1_dist
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---------------
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0.9735
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(1 row)
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SELECT
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round(helio_distance(lagrange_heliocentric(3, 2, :t ::timestamptz))::numeric, 4) AS earth_l2_dist;
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earth_l2_dist
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---------------
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0.9932
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(1 row)
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-- L1 and L2 bracket Earth's heliocentric distance
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SELECT
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helio_distance(lagrange_heliocentric(3, 1, :t ::timestamptz))
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<
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helio_distance(planet_heliocentric(3, :t ::timestamptz))
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AND
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helio_distance(planet_heliocentric(3, :t ::timestamptz))
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<
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helio_distance(lagrange_heliocentric(3, 2, :t ::timestamptz))
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AS l1_earth_l2_ordering;
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l1_earth_l2_ordering
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----------------------
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t
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(1 row)
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-- ============================================================
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-- lagrange_distance_oe — Ceres distance from Jupiter L4
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-- Ceres orbits at ~2.77 AU, Jupiter L4 at ~5.2 AU, so distance > 2 AU
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-- ============================================================
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SELECT
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round(lagrange_distance_oe(
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5, 4,
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oe_from_mpc('00001 3.33 0.12 K24AM 60.07966 73.42937 80.26860 10.58664 0.0789126 0.21406048 2.7660961 0 MPO838504 8738 115 1801-2024 0.65 M-v 30k MPCLINUX 0000 (1) Ceres 20240825'),
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:t ::timestamptz
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)::numeric, 2) AS ceres_jup_l4_dist;
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ceres_jup_l4_dist
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-------------------
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3.03
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(1 row)
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-- Distance should be positive and > 2 AU (main belt vs Trojan zone)
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SELECT
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lagrange_distance_oe(
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5, 4,
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oe_from_mpc('00001 3.33 0.12 K24AM 60.07966 73.42937 80.26860 10.58664 0.0789126 0.21406048 2.7660961 0 MPO838504 8738 115 1801-2024 0.65 M-v 30k MPCLINUX 0000 (1) Ceres 20240825'),
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:t ::timestamptz
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) > 2.0 AS ceres_far_from_trojan;
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ceres_far_from_trojan
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-----------------------
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t
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(1 row)
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-- ============================================================
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-- DE fallback for planetary moon Lagrange functions
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-- ============================================================
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SELECT
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round(eq_ra(galilean_lagrange_equatorial_de(0, 4, :t ::timestamptz))::numeric, 4) =
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round(eq_ra(galilean_lagrange_equatorial(0, 4, :t ::timestamptz))::numeric, 4)
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AS galilean_de_fallback_matches;
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galilean_de_fallback_matches
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------------------------------
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t
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(1 row)
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SELECT
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round(eq_ra(saturn_moon_lagrange_equatorial_de(5, 1, :t ::timestamptz))::numeric, 4) =
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round(eq_ra(saturn_moon_lagrange_equatorial(5, 1, :t ::timestamptz))::numeric, 4)
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AS saturn_de_fallback_matches;
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saturn_de_fallback_matches
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----------------------------
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t
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(1 row)
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-- ============================================================
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-- ============================================================
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-- Input validation
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-- Input validation
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-- ============================================================
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-- ============================================================
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@ -2,8 +2,6 @@
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-- Tests Sun-planet, Earth-Moon, planetary moon Lagrange points,
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-- Tests Sun-planet, Earth-Moon, planetary moon Lagrange points,
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-- Hill radius, zone radius, DE fallback, and input validation.
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-- Hill radius, zone radius, DE fallback, and input validation.
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CREATE EXTENSION IF NOT EXISTS pg_orrery;
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-- Reference observer: Greenwich, UK
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-- Reference observer: Greenwich, UK
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\set obs '''(51.4769,-0.0005,0)'''
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\set obs '''(51.4769,-0.0005,0)'''
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@ -180,61 +178,6 @@ SELECT
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round(hill_radius(5, :t ::timestamptz)::numeric, 4)
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round(hill_radius(5, :t ::timestamptz)::numeric, 4)
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AS hill_de_matches_vsop;
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AS hill_de_matches_vsop;
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-- ============================================================
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-- Tighter L1/L2 precision (4 decimal places)
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||||||
-- ============================================================
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SELECT
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round(helio_distance(lagrange_heliocentric(3, 1, :t ::timestamptz))::numeric, 4) AS earth_l1_dist;
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SELECT
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round(helio_distance(lagrange_heliocentric(3, 2, :t ::timestamptz))::numeric, 4) AS earth_l2_dist;
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-- L1 and L2 bracket Earth's heliocentric distance
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SELECT
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helio_distance(lagrange_heliocentric(3, 1, :t ::timestamptz))
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<
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helio_distance(planet_heliocentric(3, :t ::timestamptz))
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AND
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||||||
helio_distance(planet_heliocentric(3, :t ::timestamptz))
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<
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helio_distance(lagrange_heliocentric(3, 2, :t ::timestamptz))
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||||||
AS l1_earth_l2_ordering;
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||||||
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||||||
-- ============================================================
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||||||
-- lagrange_distance_oe — Ceres distance from Jupiter L4
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|
||||||
-- Ceres orbits at ~2.77 AU, Jupiter L4 at ~5.2 AU, so distance > 2 AU
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||||||
-- ============================================================
|
|
||||||
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|
||||||
SELECT
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|
||||||
round(lagrange_distance_oe(
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|
||||||
5, 4,
|
|
||||||
oe_from_mpc('00001 3.33 0.12 K24AM 60.07966 73.42937 80.26860 10.58664 0.0789126 0.21406048 2.7660961 0 MPO838504 8738 115 1801-2024 0.65 M-v 30k MPCLINUX 0000 (1) Ceres 20240825'),
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|
||||||
:t ::timestamptz
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|
||||||
)::numeric, 2) AS ceres_jup_l4_dist;
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|
||||||
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|
||||||
-- Distance should be positive and > 2 AU (main belt vs Trojan zone)
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|
||||||
SELECT
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|
||||||
lagrange_distance_oe(
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|
||||||
5, 4,
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|
||||||
oe_from_mpc('00001 3.33 0.12 K24AM 60.07966 73.42937 80.26860 10.58664 0.0789126 0.21406048 2.7660961 0 MPO838504 8738 115 1801-2024 0.65 M-v 30k MPCLINUX 0000 (1) Ceres 20240825'),
|
|
||||||
:t ::timestamptz
|
|
||||||
) > 2.0 AS ceres_far_from_trojan;
|
|
||||||
|
|
||||||
-- ============================================================
|
|
||||||
-- DE fallback for planetary moon Lagrange functions
|
|
||||||
-- ============================================================
|
|
||||||
|
|
||||||
SELECT
|
|
||||||
round(eq_ra(galilean_lagrange_equatorial_de(0, 4, :t ::timestamptz))::numeric, 4) =
|
|
||||||
round(eq_ra(galilean_lagrange_equatorial(0, 4, :t ::timestamptz))::numeric, 4)
|
|
||||||
AS galilean_de_fallback_matches;
|
|
||||||
|
|
||||||
SELECT
|
|
||||||
round(eq_ra(saturn_moon_lagrange_equatorial_de(5, 1, :t ::timestamptz))::numeric, 4) =
|
|
||||||
round(eq_ra(saturn_moon_lagrange_equatorial(5, 1, :t ::timestamptz))::numeric, 4)
|
|
||||||
AS saturn_de_fallback_matches;
|
|
||||||
|
|
||||||
-- ============================================================
|
-- ============================================================
|
||||||
-- Input validation
|
-- Input validation
|
||||||
-- ============================================================
|
-- ============================================================
|
||||||
|
|||||||
Loading…
x
Reference in New Issue
Block a user