FA-69577 / Orbital propagation / Member archive
J2 secular node and perigee drift: Nodal rate sign ignores retrograde inclinations · case 02
Sun-synchronous retrograde orbits regress instead of precess.
Case contract
Input [a km, e, i deg, days]. With mu=398600.4418, Re=6378.137, J2=1.08263e-3, n=sqrt(mu/a^3), p=a(1-e^2): dRAAN/dt=-1.5 n J2 (Re/p)^2 cos i, dargp/dt=0.75 n J2 (Re/p)^2 (5cos^2 i-1). Return [RAAN drift deg, argp drift deg over the interval (rounded 4), sun-synchronous flag: |RAAN rate in deg/day - 0.9856|<0.01].
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 |
|---|---|---|---|
| j2 secular node and perigee drift [6878.0, 0.0, 97.4, 2] | [-1.971, -7.0169, false] | [1.971, -7.0169, true] | Failed |
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