A common first integral from three-body secular theory and Kepler billiards
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866914171062321152 |
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| author | Pinzari, Gabriella Zhao, Lei |
| author_facet | Pinzari, Gabriella Zhao, Lei |
| contents | We observe that a particular first integral of the partially-averaged system in the secular theory of the three-body problem appears also as an important conserved quantity of integrable Kepler billiards. In this note we illustrate their common roots with the projective dynamics of the two-center problem. We then combine these two aspects to define a class of integrable billiard systems on surfaces of constant curvature. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_17645 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A common first integral from three-body secular theory and Kepler billiards Pinzari, Gabriella Zhao, Lei Dynamical Systems We observe that a particular first integral of the partially-averaged system in the secular theory of the three-body problem appears also as an important conserved quantity of integrable Kepler billiards. In this note we illustrate their common roots with the projective dynamics of the two-center problem. We then combine these two aspects to define a class of integrable billiard systems on surfaces of constant curvature. |
| title | A common first integral from three-body secular theory and Kepler billiards |
| topic | Dynamical Systems |
| url | https://arxiv.org/abs/2504.17645 |