FA-69828 / Orbital propagation / Member archive

Hyperbolic departure from a parking orbit: Burn subtracts escape speed instead of circular speed · case 03

Departure burn equals only the excess over escape.

Member previewVariant 3 · 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 [7000.0, 6.0, 398600.4418]	`[12.242787, 1.571056, 1.632212, 75.565]`	`[12.242787, 4.696734, 1.632212, 75.565]`	Failed

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