On the finiteness issue of four-body balanced configurations in the plane
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2024
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866915077034082304 |
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| author | Wang, Yuchen Zhao, Lei |
| author_facet | Wang, Yuchen Zhao, Lei |
| contents | We show that the number of $\mathbf{S}$-balanced configurations of four bodies in the plane is finite, provided that the symmetric matrix $\mathbf{S}$ is close to a numerical matrix. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_17639 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On the finiteness issue of four-body balanced configurations in the plane Wang, Yuchen Zhao, Lei Dynamical Systems We show that the number of $\mathbf{S}$-balanced configurations of four bodies in the plane is finite, provided that the symmetric matrix $\mathbf{S}$ is close to a numerical matrix. |
| title | On the finiteness issue of four-body balanced configurations in the plane |
| topic | Dynamical Systems |
| url | https://arxiv.org/abs/2412.17639 |