Computes formal covariance (H^T·H)^{-1} via LAPACK dpotrf_/dpotri_
after DC convergence. Returns upper-triangle array (21 elements for
6-state, 28 for 7-state with B*), condition number from SVD, and
nstate count. Covariance is computed even for perfect-seed fits.
Bumps extension to v0.5.0 with full install SQL and migration path.
Batch weighted least-squares differential correction using equinoctial
elements, LAPACK dgelss_() for SVD solve, vendored SGP4/SDP4 as the
propagation engine. Per Vallado & Crawford (2008) AIAA 2008-6770.
New SQL functions:
- tle_from_eci(): fit TLE from ECI position/velocity ephemeris
- tle_from_topocentric(): fit TLE from az/el/range observations
- tle_fit_residuals(): per-observation position residuals diagnostic
Solver features: 6-state (orbital) or 7-state (+ B*) fitting,
equinoctial elements for singularity-free optimization, tiered step
limiting, Brouwer/Kozai Newton-Raphson conversion, auto initial guess
from first ECI observation when no seed TLE provided.
Tested: 8 regression tests (LEO/MEO/near-circular round-trips,
B* recovery, topocentric, seedless, error handling, diagnostics),
67 standalone math unit tests, all 14 suites pass.
An existing product called PG Orbit (a mobile PostgreSQL client)
creates a naming conflict. pg_orrery — a database orrery built from
Keplerian parameters and SQL instead of brass gears.
Build system: control file, Makefile, Dockerfile, docker init script.
C source: GUC prefix, PG_FUNCTION_INFO_V1 symbol, header guards,
ereport prefixes, comments across ~30 files including vendored SGP4.
SQL: all 5 install/migration scripts, function name pg_orrery_ephemeris_info.
Tests: 9 SQL suites, 8 expected outputs, standalone DE reader test.
Documentation: CLAUDE.md, README.md, DESIGN.md, Starlight site infra,
36 MDX pages, OG renderer, logo SVG, docker-compose, agent threads.
All 13 regression suites pass. Docs site builds (37 pages).
