J2 effect and elliptic inclined periodic orbits in the collision three-body problem
The existence of a new class of inclined periodic orbits of the collision restricted three{body problem is shown. The symmetric periodic solutions found are perturbations of elliptic kepler orbits and they exist only for special values of the inclination and are related to the motion of a satellite...
| Autores: | , , , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2008 |
| 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:2117/21117 |
| Acceso en línea: | https://hdl.handle.net/2117/21117 https://dx.doi.org/10.1137/070683854 |
| Access Level: | acceso abierto |
| Palabra clave: | Many-body problem Orbits collision restricted three-body problem periodic orbits symmetric orbits critical inclination continuation method Problema dels cossos múltiples Òrbites 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 Àrees temàtiques de la UPC::Enginyeria mecànica |
| Sumario: | The existence of a new class of inclined periodic orbits of the collision restricted three{body problem is shown. The symmetric periodic solutions found are perturbations of elliptic kepler orbits and they exist only for special values of the inclination and are related to the motion of a satellite around an oblate planet. |
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