Stability of equilibrium points in the spatially 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 (-1/r + e/r2), e ¿ 0, where is a parameter related to the oblaticity or radiation source (according to...
| Autores: | , , , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2023 |
| País: | España |
| Institución: | Universitat Politècnica de Catalunya (UPC) |
| Repositorio: | UPCommons. Portal del coneixement obert de la UPC |
| Idioma: | inglés |
| OAI Identifier: | oai:upcommons.upc.edu:2117/398428 |
| Acceso en línea: | https://hdl.handle.net/2117/398428 https://dx.doi.org/10.1137/23M1551912 |
| Access Level: | acceso abierto |
| Palabra clave: | Many-body problem Planetary rings Celestial mechanics Restricted N + 1-body problem Manev potential Equilibrium points Stability Problema dels cossos múltiples Anells planetaris Mecànica celest Classificació AMS::70 Mechanics of particles and systems::70F Dynamics of a system of particles, including celestial mechanics Àrees temàtiques de la UPC::Matemàtiques i estadística |
| 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 (-1/r + e/r2), e ¿ 0, where is a parameter 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 remaining bodies. We also prove the nonexistence of binary collisions between the central body and the infinitesimal mass. |
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