Salvato in:
| Autori principali: | , |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2024
|
| Soggetti: | |
| Accesso online: | https://arxiv.org/abs/2412.16671 |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866912407405723648 |
|---|---|
| author | Moreno, Agustin Limoge, Arthur |
| author_facet | Moreno, Agustin Limoge, Arthur |
| contents | In this note, we show there exist infinitely many trajectories which are bi-normal (i.e. normal at initial and final times) to the xz-plane, in the Spatial Circular Restricted Three-Body Problem, for energies below or slightly above the first critical value and near the primaries, under the assumption of the twist condition as defined by Moreno-van-Koert in arXiv:2011.06562. This is an application of the relative Poincaré-Birkhoff theorem for Lagrangians in Liouville domains, as proven by the authors in arXiv:2408.06919. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_16671 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Bi-normal trajectories in the Circular Restricted Three-Body Problem Moreno, Agustin Limoge, Arthur Symplectic Geometry In this note, we show there exist infinitely many trajectories which are bi-normal (i.e. normal at initial and final times) to the xz-plane, in the Spatial Circular Restricted Three-Body Problem, for energies below or slightly above the first critical value and near the primaries, under the assumption of the twist condition as defined by Moreno-van-Koert in arXiv:2011.06562. This is an application of the relative Poincaré-Birkhoff theorem for Lagrangians in Liouville domains, as proven by the authors in arXiv:2408.06919. |
| title | Bi-normal trajectories in the Circular Restricted Three-Body Problem |
| topic | Symplectic Geometry |
| url | https://arxiv.org/abs/2412.16671 |