Chaotic dynamics for the two body problem on a sphere
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866908671990038528 |
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| author | Bolotin, Sergey |
| author_facet | Bolotin, Sergey |
| contents | We prove the existence of chaotic trajectories for the two body problem on a sphere. The trajectories we construct encounter near-collisions and are similar to the second species solutions of Poincaré of the classical 3 body problem. The construction uses a general result on Lagrangian systems with Newtonian singularities of the potential which is based on the method of anti-integrable limit of Serge Aubry. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_19178 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Chaotic dynamics for the two body problem on a sphere Bolotin, Sergey Dynamical Systems We prove the existence of chaotic trajectories for the two body problem on a sphere. The trajectories we construct encounter near-collisions and are similar to the second species solutions of Poincaré of the classical 3 body problem. The construction uses a general result on Lagrangian systems with Newtonian singularities of the potential which is based on the method of anti-integrable limit of Serge Aubry. |
| title | Chaotic dynamics for the two body problem on a sphere |
| topic | Dynamical Systems |
| url | https://arxiv.org/abs/2511.19178 |