Saved in:
| Main Author: | |
|---|---|
| Format: | Preprint |
| Published: |
2026
|
| Subjects: | |
| Online Access: | https://arxiv.org/abs/2604.21426 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Table of Contents:
- We report the closed-form expression for Hill's surfaces in the circular restricted three-body problem. The solution $ϕ(r,θ)$, derived in the primary-centric spherical coordinate system, is deduced from a cubic equation delivering at most two roots on each side of a separatrix. The famous patterns (tadpole, horseshoe and peanut shapes, Roche lobes and Hill's quasi-spheres) are exactly produced.