FA-69804 / Orbital propagation / Member archive

Co-orbital phasing manoeuvre: The lead angle is not split across phasing revolutions · case 04

Multi-revolution phasing orbits are far too eccentric.

Member previewVariant 4 · 3 implementations · 7 checks per implementation

Case contract

Input [r, theta, k, mu, rmin]: circular radius, target lead angle in degrees (positive = target ahead), k phasing revolutions. Phasing period Tph=T-theta_rad/(k n). a_ph from Tph; total dv = 2|v_ph(r)-v_circ| with vis-viva at r. Return None if the phasing perigee 2a_ph-r is below rmin, else [a_ph rounded 3, dv rounded 6, k*Tph rounded 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 fixture

This sample comes from the broken implementation of a controlled reproducer.

Boundary fixture	Actual	Expected	Outcome
co-orbital phasing manoeuvre [1.0, 60.0, 2, 1.0, 0.5]	`[0.886, 0.133713, 10.472]`	`[0.944, 0.060642, 11.519]`	Failed

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