Transverse foliations in the rotating Kepler problem
Fuente:
arXiv
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Preprint |
| Veröffentlicht: |
2023
|
| Schlagworte: | |
| Online-Zugang: | |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| _version_ | 1866917577636184064 |
|---|---|
| author | Kim, Seongchan |
| author_facet | Kim, Seongchan |
| contents | We construct finite energy foliations and transverse foliations of neighbourhoods of the circular orbits in the rotating Kepler problem for all negative energies. This paper would be a first step towards our ultimate goal that is to recover and refine McGehee's results on homoclinics and to establish a theoretical foundation to the numerical demonstration of the existence of a homoclinic-heteroclinic chain in the planar circular restricted three-body problem, using pseudoholomorphic curves. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2311_01231 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Transverse foliations in the rotating Kepler problem Kim, Seongchan Dynamical Systems Symplectic Geometry We construct finite energy foliations and transverse foliations of neighbourhoods of the circular orbits in the rotating Kepler problem for all negative energies. This paper would be a first step towards our ultimate goal that is to recover and refine McGehee's results on homoclinics and to establish a theoretical foundation to the numerical demonstration of the existence of a homoclinic-heteroclinic chain in the planar circular restricted three-body problem, using pseudoholomorphic curves. |
| title | Transverse foliations in the rotating Kepler problem |
| topic | Dynamical Systems Symplectic Geometry |
| url | https://arxiv.org/abs/2311.01231 |