The co-circular central configurations of the 5 body problem
Chenciner in 2001 asked: Is the regular n-gon with equal masses the unique central configuration such that all the bodies lie on a circle, and the center of mass coincides with the center of the circle? This question has a positive answer for n = 3. Hampton in 2003 proved that also this question has...
| Autores: | , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2015 |
| País: | España |
| Institución: | Universitat Autònoma de Barcelona |
| Repositorio: | Dipòsit Digital de Documents de la UAB |
| Idioma: | inglés |
| OAI Identifier: | oai:ddd.uab.cat:145295 |
| Acceso en línea: | https://ddd.uab.cat/record/145295 https://dx.doi.org/urn:doi:10.1007/s10884-015-9429-y |
| Access Level: | acceso abierto |
| Palabra clave: | 5-body problem Central configuration Co-circular central configuration Regular n-gon |
| Sumario: | Chenciner in 2001 asked: Is the regular n-gon with equal masses the unique central configuration such that all the bodies lie on a circle, and the center of mass coincides with the center of the circle? This question has a positive answer for n = 3. Hampton in 2003 proved that also this question has a positive answer for n = 4. Here we provide a positive answer for n = 5. |
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