FA-69763 / Orbital propagation / Member archive

Clohessy-Wiltshire relative motion: Cross-track velocity term lacks the 1/n scale · case 03

Out-of-plane excursions are scaled by the mean motion.

Member previewVariant 3 · 3 implementations · 7 checks per implementation

Case contract

Input [x0,y0,z0,vx0,vy0,vz0,n,t] with x radial, y along-track, z cross-track about a circular reference orbit of mean motion n. Return [x,y,z,vx,vy,vz] from the closed-form HCW solution, rounded to 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 fixture

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

Boundary fixture	Actual	Expected	Outcome
clohessy-wiltshire relative motion [0.0, 0.0, 0.5, 0.0, 0.0, 0.0002, 0.00113, 2000.0]	`[0.0, 0.0, -0.317807, 0.0, -0.0, -0.000563]`	`[0.0, 0.0, -0.181368, 0.0, -0.0, -0.000563]`	Failed

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