On the central configurations of the planar (1 3)-body problem
We consider the Newtonian 4 body problem in the plane with a dominat mass M. We study the planar central configurations of this problem when the remaining masses are infinitesimal. We obtain two different classes of central configurations depending on the mutual distances between the infinitesimals...
| Autores: | , , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2011 |
| País: | España |
| Institución: | Universitat Autònoma de Barcelona |
| Repositorio: | Dipòsit Digital de Documents de la UAB |
| Idioma: | inglés |
| OAI Identifier: | oai:ddd.uab.cat:150425 |
| Acceso en línea: | https://ddd.uab.cat/record/150425 https://dx.doi.org/urn:doi:10.1007/s10569-010-9316-0 |
| Access Level: | acceso abierto |
| Palabra clave: | 1 + 3 body problem Central configurations Coorbital satellites |
| Sumario: | We consider the Newtonian 4 body problem in the plane with a dominat mass M. We study the planar central configurations of this problem when the remaining masses are infinitesimal. We obtain two different classes of central configurations depending on the mutual distances between the infinitesimals masses. Both classes exhibit symmetric and non-symmetric configurations. And when two infinitesimal masses are equal, the number of central configurations varies from five to seven. |
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