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| Format: | Preprint |
| Published: |
2026
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| Online Access: | https://arxiv.org/abs/2604.10559 |
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| _version_ | 1866909053705256960 |
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| author | Jonsson, Dan |
| author_facet | Jonsson, Dan |
| contents | A generalization of classical dimensional analysis, presented in a separate article, makes it possible to derive Kepler's third law for the period of a two-body system, up to a multiplicative constant, without solving the equations of motion. Here we show how to derive generalizations of Kepler's third law to n-body systems by the same technique. Our results agree with conjectures by Sun on the period of a classical n-body system and by Semay and Sun on the quantum-theoretical counterpart of the period of a classical n-body system. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_10559 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Periods of N-body Systems Determined Through Dimensional Analysis Jonsson, Dan Mathematical Physics A generalization of classical dimensional analysis, presented in a separate article, makes it possible to derive Kepler's third law for the period of a two-body system, up to a multiplicative constant, without solving the equations of motion. Here we show how to derive generalizations of Kepler's third law to n-body systems by the same technique. Our results agree with conjectures by Sun on the period of a classical n-body system and by Semay and Sun on the quantum-theoretical counterpart of the period of a classical n-body system. |
| title | Periods of N-body Systems Determined Through Dimensional Analysis |
| topic | Mathematical Physics |
| url | https://arxiv.org/abs/2604.10559 |