Wrapped Floer homology and the circular restricted three-body problem
Fuente:
arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866917169995972608 |
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| author | Broćić, Filip Frauenfelder, Urs |
| author_facet | Broćić, Filip Frauenfelder, Urs |
| contents | Using the wrapped Floer homology, we prove the existence of consecutive collisions at the primaries in the circular restricted three-body problem. We also prove the existence of a symmetric periodic orbit. These existence results are obtained for energy hypersurfaces slightly above the first critical value. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_23289 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Wrapped Floer homology and the circular restricted three-body problem Broćić, Filip Frauenfelder, Urs Symplectic Geometry Dynamical Systems 53D40, 70H05, 70F07, 70F16 Using the wrapped Floer homology, we prove the existence of consecutive collisions at the primaries in the circular restricted three-body problem. We also prove the existence of a symmetric periodic orbit. These existence results are obtained for energy hypersurfaces slightly above the first critical value. |
| title | Wrapped Floer homology and the circular restricted three-body problem |
| topic | Symplectic Geometry Dynamical Systems 53D40, 70H05, 70F07, 70F16 |
| url | https://arxiv.org/abs/2507.23289 |