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Clohessy-Wiltshire relative motion: Radial offset drives along-track velocity with the wrong sign · case 02

A lower chaser appears to fall behind.

Member previewVariant 2 · 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 fixtureActualExpectedOutcome
clohessy-wiltshire relative motion [0.2, -1.0, 0.1, 0.0005, -0.0003, 0.0, 0.0011, 3000.0][0.236705, -4.084008, -0.098748, -0.000503, 0.004866, 1.7e-05][0.236705, -4.084008, -0.098748, -0.000503, -0.000381, 1.7e-05]Failed

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