Limits RegistryPUBLIC RECORDLimits RegistryResearch Console →Leading-order radius of the secondary's gravitational sphere of influence in the restricted three-body approximation.
The question, scope, and sources behind this Registry record.
Approximate the distance to the collinear zero-velocity boundary near a low-mass secondary at pericenter.
Current frontiers derived from accepted Claims.
The accepted equality closes this optimization result.
Assertions tied to evidence, attribution, and review.
The frontier as it changed over time.
Only accepted Claims matching the current specification contribute to the displayed bounds. Strict inequalities remain open; contradictory Claims require editorial review.
No accepted machine-checked reproductions are recorded for this Limit.
Limits Registry. LR-003512. Hill-sphere radius approximation. 2026.