FA-69342 / Orbital propagation / Member archive
Elliptic Kepler solver: Newton correction is added instead of subtracted · case 02
The iteration walks away from the root and returns a huge anomaly.
Case contract
Input [M, e] (radians). Return None unless 0<=e<1. Reduce M into [0,2pi), start Newton at M (e<0.8) or pi, iterate E -= (E-e sinE-M)/(1-e cosE) up to 50 times until the step is below 1e-13, and return E rounded to 9 decimals.
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 |
|---|---|---|---|
| elliptic kepler solver [2.0, 0.3] | -596354926221579.5 | 2.236031495 | Failed |
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