On the existence of bi-pyramidal central configurations of the n 2-body problem with an n-gon base
In this paper we prove the existence of central configurations of the n + 2-body problem where n equal masses are located at the vertices of a regular n-gon and the remaining 2 masses, which are not necessarily equal, are located on the straight line orthogonal to the plane containing the n-gon pass...
| Autores: | , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2013 |
| País: | España |
| Institución: | Universitat Autònoma de Barcelona |
| Repositorio: | Dipòsit Digital de Documents de la UAB |
| Idioma: | inglés |
| OAI Identifier: | oai:ddd.uab.cat:150631 |
| Acceso en línea: | https://ddd.uab.cat/record/150631 https://dx.doi.org/urn:doi:10.3934/dcds.2013.33.1049 |
| Access Level: | acceso abierto |
| Palabra clave: | Spatial central configurations N + 2-body problem Bi-pyramidal central configurations |
| Sumario: | In this paper we prove the existence of central configurations of the n + 2-body problem where n equal masses are located at the vertices of a regular n-gon and the remaining 2 masses, which are not necessarily equal, are located on the straight line orthogonal to the plane containing the n-gon passing through its center. Here this kind of central configurations is called bi-pyramidal central configurations. In particular, we prove that if the masses mn+1 and mn+2 and their positions satisfy convenient relations, then the configuration is central. We give explicitly those relations. |
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