FA-69778 / Orbital propagation / Member archive
Radial in-track cross-track projection: In-track axis points backwards · case 03
Deputies ahead of the chief are reported behind it.
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 fixtureThis 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]] | [10.0, 10.46518, -2.545584] | [10.0, -10.46518, -2.545584] | Failed |
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