Finiteness of non-degenerate central configurations of the planar $n$-body problem with a homogeneous potential
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arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866917939470401536 |
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| author | Natrup, Julius Wang, Qun Wang, Yuchen |
| author_facet | Natrup, Julius Wang, Qun Wang, Yuchen |
| contents | We show that there exist an upper bound and a lower bound for the number of non-degenerate central configurations of the n-body problem in the plane with a homogeneous potential. In particular, both bounds are independent of the homogeneous degree of the potential under consideration. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_20228 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Finiteness of non-degenerate central configurations of the planar $n$-body problem with a homogeneous potential Natrup, Julius Wang, Qun Wang, Yuchen Dynamical Systems 70F10, 70G5F, 37N05, 37N10 We show that there exist an upper bound and a lower bound for the number of non-degenerate central configurations of the n-body problem in the plane with a homogeneous potential. In particular, both bounds are independent of the homogeneous degree of the potential under consideration. |
| title | Finiteness of non-degenerate central configurations of the planar $n$-body problem with a homogeneous potential |
| topic | Dynamical Systems 70F10, 70G5F, 37N05, 37N10 |
| url | https://arxiv.org/abs/2502.20228 |