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| Main Author: | |
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| Format: | Preprint |
| Published: |
2022
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2212.09718 |
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| _version_ | 1866929285439160320 |
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| author | Tibboel, Pieter |
| author_facet | Tibboel, Pieter |
| contents | We prove Saari's conjecture, which states that for any solution to the classical $n$-body problem that has constant (polar) moment of inertia has to behave as a rotating rigid body. Additionally, we remark how Saari's conjecture can be generalised well beyond the confines of the classical $n$-body problem. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2212_09718 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | A proof of Saari's conjecture Tibboel, Pieter Classical Analysis and ODEs Mathematical Physics We prove Saari's conjecture, which states that for any solution to the classical $n$-body problem that has constant (polar) moment of inertia has to behave as a rotating rigid body. Additionally, we remark how Saari's conjecture can be generalised well beyond the confines of the classical $n$-body problem. |
| title | A proof of Saari's conjecture |
| topic | Classical Analysis and ODEs Mathematical Physics |
| url | https://arxiv.org/abs/2212.09718 |