FA-69725 / Orbital propagation / Member archive
Elliptic time of flight between anomalies: Mean motion uses a squared axis · case 05
Durations scale with the wrong power of the orbit size.
Case contract
Input [a, e, nu1, nu2, mu] (degrees). Convert each true anomaly to eccentric anomaly with the half-angle atan2 form and to mean anomaly in [0,2pi); flight always proceeds forward, so dM=(M2-M1) mod 2pi. Return dM/n seconds rounded to 3 with n=sqrt(mu/a^3).
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 |
|---|---|---|---|
| elliptic time of flight between anomalies [2.0, 0.9, 170.0, 190.0, 1.0] | 5.312 | 7.512 | Failed |
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