"Twist Vectors" for Central Configuration Equations
Fuente:
arXiv
Salvato in:
| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866909269549383680 |
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| author | Hampton, Marshall |
| author_facet | Hampton, Marshall |
| contents | A new coordinate system on the tangent space to planar configurations is introduced to simplify some calculations on central configurations and relative equilibria in the $N$-body problem with a homogeneous potential, which includes the case of Newtonian gravity. These coordinates are applied to some problems on four-body central configurations to illustrate their utility. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_18615 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | "Twist Vectors" for Central Configuration Equations Hampton, Marshall Dynamical Systems 70f15, 37N05 A new coordinate system on the tangent space to planar configurations is introduced to simplify some calculations on central configurations and relative equilibria in the $N$-body problem with a homogeneous potential, which includes the case of Newtonian gravity. These coordinates are applied to some problems on four-body central configurations to illustrate their utility. |
| title | "Twist Vectors" for Central Configuration Equations |
| topic | Dynamical Systems 70f15, 37N05 |
| url | https://arxiv.org/abs/2407.18615 |