FA-69827 / Orbital propagation / Member archive

Hyperbolic departure from a parking orbit: Burn subtracts escape speed instead of circular speed · case 02

Departure burn equals only the excess over escape.

Member previewVariant 2 · 3 implementations · 7 checks per implementation

Case contract

Input [r, vinf, mu]: circular parking radius and required hyperbolic excess speed. Periapsis speed vp=sqrt(vinf^2+2mu/r); burn dv=vp-sqrt(mu/r); eccentricity e=1+r vinf^2/mu; turn angle delta=2 asin(1/e) in degrees. Return [vp, dv, e rounded 6, delta rounded 4].

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
hyperbolic departure from a parking orbit [6678.0, 0.5, 398600.4418]	`[10.937422, 0.011435, 1.004188, 169.5303]`	`[10.937422, 3.211582, 1.004188, 169.5303]`	Failed

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