FA-69793 / Orbital propagation / Member archive

Radial in-track cross-track projection: Radial axis is the raw position vector · case 03

Radial offsets are multiplied by the orbit radius.

Member previewVariant 3 · 3 implementations · 7 checks per implementation

Case contract

Input [rc, vc, rd]: chief position and velocity and deputy position. R=rc/|rc|, C=(rc x vc)/|rc x vc|, I=C x R. Return the deputy offset rd-rc projected onto [R, I, C], 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
radial in-track cross-track projection [[0.0, 7000.0, 0.0], [-7.0, 0.0, 1.0], [10.0, 7010.0, -4.0]]	`[70000.0, -73256.262531, -2.545584]`	`[10.0, -10.46518, -2.545584]`	Failed

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