FA-69405 / Orbital propagation / Member archive

Mean anomaly propagation between epochs: Backward propagation leaves a negative mean anomaly · case 05

Propagating to an earlier epoch returns negative angles.

Member previewVariant 5 · 3 implementations · 7 checks per implementation

Case contract

Input [[y1,d1],[y2,d2],M0,n,ndot2]: epochs as calendar year and fractional 1-based day of year; M0 degrees at epoch 1; n revolutions per day; ndot2 is the published first derivative divided by two (rev/day^2). dt = epoch2-epoch1 in days (Gregorian calendar). M = (M0 + 360*(n*dt + ndot2*dt^2)) mod 360. Return [dt rounded 6, M rounded 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
mean anomaly propagation between epochs [[2026, 100.0], [2026, 90.5], 45.0, 13.2, 0.0]	`[-9.5, -99.0]`	`[-9.5, 261.0]`	Failed

MEMBER ARCHIVE

The complete case is available to members.

This record includes three runnable implementations, regression fixtures, execution results, and source hashes.

Member access is invitation-based. Sign in with your invited account to inspect the sources.