Spatial collinear restricted four-body problem with repulsive Manev potential
We outline some aspects of the dynamics of an infinitesimalmass under the Newtonian attraction of three point masses in a symmetric collinear relative equilibria configuration when a repulsive Manev potential (−1/r + e/r 2), e > 0, is applied to the central mass. We investigate the relative equil...
| Autores: | , , |
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| Tipo de recurso: | artículo |
| Estado: | Versión aceptada para publicación |
| Fecha de publicación: | 2017 |
| 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:10256/14759 |
| Acceso en línea: | http://hdl.handle.net/10256/14759 |
| Access Level: | acceso abierto |
| Palabra clave: | Bifurcació, Teoria de la Bifurcation theory Estabilitat Stability Mecànica celest Celestial mechanics Dinàmica estel·lar Stellar dynamics Sistemes dinàmics diferenciables Differentiable dynamical systems |
| Sumario: | We outline some aspects of the dynamics of an infinitesimalmass under the Newtonian attraction of three point masses in a symmetric collinear relative equilibria configuration when a repulsive Manev potential (−1/r + e/r 2), e > 0, is applied to the central mass. We investigate the relative equilibria of the infinitesimal mass and their linear stability as a function of the mass parameter β, the ratio of mass of the central body to the mass of one of two remaining bodies, and e. We also prove the nonexistence of binary collisions between the central body and the infinitesimal mass |
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