FA-69490 / Orbital propagation / Member archive
Classical elements from a state vector: Semi-major axis loses the energy sign · case 05
Bound orbits report a negative semi-major axis.
Case contract
Input [r, v, mu] (km, km/s) for an inclined, eccentric orbit. Return [a, e, i, raan, argp, nu] with a rounded to 3, e to 6 and angles in degrees rounded to 4, using the node vector n=[-h_y,h_x,0], eccentricity vector ((v^2-mu/r) r - (r.v) v)/mu and quadrant rules raan>180 when n_y<0, argp>180 when e_z<0, nu>180 when r.v<0.
Why this case matters
Orbit determination and mission planning chain many small conversions; one wrong branch or unit silently moves a spacecraft by kilometres.
One recorded failure
Sample boundary fixtureThis sample comes from the broken implementation of a controlled reproducer.
| Boundary fixture | Actual | Expected | Outcome |
|---|---|---|---|
| classical elements from a state vector [[-6475.5994, -5263.8249, -12931.4731], [0.8127286, -6.3785031, 1.6229816], 398600.4418] | [-50980.389, 0.7, 63.4, 270.0, 280.0, 10.0] | [50980.389, 0.7, 63.4, 270.0, 280.0, 10.0] | Failed |
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