FA-69415 / Orbital propagation / Member archive
Mean anomaly propagation between epochs: Epoch fractions of a day are discarded · case 05
Propagation from sub-day epochs is off by hours of motion.
Case contract
Input [[y1,d1],[y2,d2],M0,n,ndot2]: epochs as calendar year and fractional 1-based day of year; M0 degrees at epoch 1; n revolutions per day; ndot2 is the published first derivative divided by two (rev/day^2). dt = epoch2-epoch1 in days (Gregorian calendar). M = (M0 + 360*(n*dt + ndot2*dt^2)) mod 360. Return [dt rounded 6, M rounded 6].
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 |
|---|---|---|---|
| mean anomaly propagation between epochs [[2026, 100.0], [2026, 99.5], 300.0, 0.1, 0.0] | [-1, 264.0] | [-0.5, 282.0] | Failed |
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