FA-69839 / Orbital propagation / Member archive

Hyperbolic departure from a parking orbit: Turn angle is half its value · case 04

Flyby bending is underestimated by half.

Member previewVariant 4 · 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 [42164.0, 1.5, 398600.4418]	`[4.59969, 1.525023, 1.238005, 53.8768]`	`[4.59969, 1.525023, 1.238005, 107.7536]`	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.