On strictly convex central configurations of the 2n-body problem
We consider planar central configurations of the Newtonian 2n-body problem consisting in two twisted regular n-gons of equal masses. We prove the conjecture that for n≥ 5 all convex central configurations of two twisted regular n-gons are strictly convex.
| Autores: | , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2019 |
| País: | España |
| Institución: | Universitat Autònoma de Barcelona |
| Repositorio: | Dipòsit Digital de Documents de la UAB |
| Idioma: | inglés |
| OAI Identifier: | oai:ddd.uab.cat:221384 |
| Acceso en línea: | https://ddd.uab.cat/record/221384 https://dx.doi.org/urn:doi:10.1007/s10884-018-9708-5 |
| Access Level: | acceso abierto |
| Palabra clave: | Central configuration Convex central configuration N-body problem Twisted central configuration |
| Sumario: | We consider planar central configurations of the Newtonian 2n-body problem consisting in two twisted regular n-gons of equal masses. We prove the conjecture that for n≥ 5 all convex central configurations of two twisted regular n-gons are strictly convex. |
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