On the Nonexistence of Centered Co-Circular Central Configurations With Three Unequal masses
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arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866917799739260928 |
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| author | Tang, Zhengyang Zhu, Shuqiang |
| author_facet | Tang, Zhengyang Zhu, Shuqiang |
| contents | This paper examines the existence of centered co-circular central configurations in the general power-law potential n-body problem. We prove the nonexistence of such configurations when the system consists of n-3 equal masses and three arbitrary masses, under the condition that the three special masses are distinct or, if two of them are equal, not arranged in a specific manner. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_04702 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On the Nonexistence of Centered Co-Circular Central Configurations With Three Unequal masses Tang, Zhengyang Zhu, Shuqiang Mathematical Physics Dynamical Systems 70F10, 70F15 This paper examines the existence of centered co-circular central configurations in the general power-law potential n-body problem. We prove the nonexistence of such configurations when the system consists of n-3 equal masses and three arbitrary masses, under the condition that the three special masses are distinct or, if two of them are equal, not arranged in a specific manner. |
| title | On the Nonexistence of Centered Co-Circular Central Configurations With Three Unequal masses |
| topic | Mathematical Physics Dynamical Systems 70F10, 70F15 |
| url | https://arxiv.org/abs/2407.04702 |