Stability of equilibrium points in the spatial restricted N +1-body problem with Manev potential
We study the dynamics of an infinitesimal mass under the gravitational attraction of primaries arranged in a planar ring configuration plus the influence of the central mass with a Manev potential and parameter e related to the oblaticity or radiation source (according to the sign of the parameter)....
| Autores: | , , , |
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| Tipo de recurso: | artículo |
| Estado: | Versión aceptada para publicación |
| Fecha de publicación: | 2023 |
| País: | España |
| Institución: | Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya) |
| Repositorio: | Recercat. Dipósit de la Recerca de Catalunya |
| OAI Identifier: | oai:recercat.cat:10256/24035 |
| Acceso en línea: | http://hdl.handle.net/10256/24035 |
| Access Level: | acceso abierto |
| Palabra clave: | Problema dels cossos múltiples Many-body problem Anells planetaris Planetary rings Mecànica celest Celestial mechanics |
| Sumario: | We study the dynamics of an infinitesimal mass under the gravitational attraction of primaries arranged in a planar ring configuration plus the influence of the central mass with a Manev potential and parameter e related to the oblaticity or radiation source (according to the sign of the parameter). Specifically, we investigate the relative equilibria of the infinitesimal mass and their linear stability as functions of the parameter and the mass parameter, the ratio of mass of the central body to the mass of one of the N-1 remaining bodies. We also prove the nonexistence of binary collisions between the central body and the infinitesimal mass |
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