FA-69840 / Orbital propagation / Member archive

Hyperbolic departure from a parking orbit: Turn angle is half its value · case 05

Flyby bending is underestimated by half.

Member previewVariant 5 · 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 [1.0, 1.0, 1.0]	`[1.732051, 0.732051, 2.0, 30.0]`	`[1.732051, 0.732051, 2.0, 60.0]`	Failed

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