On the Periodic Orbits of the Perturbed Two- and Three-Body Problems
In this work, a perturbed system of the restricted three-body problem is derived when the perturbation forces are conservative alongside the corresponding mean motion of two primaries bodies. Thus, we have proved that the first and second types of periodic orbits of the rotating Kepler problem can p...
| Autores: | , , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2023 |
| País: | España |
| Institución: | Universitat Autònoma de Barcelona |
| Repositorio: | Dipòsit Digital de Documents de la UAB |
| Idioma: | inglés |
| OAI Identifier: | oai:ddd.uab.cat:281988 |
| Acceso en línea: | https://ddd.uab.cat/record/281988 https://dx.doi.org/urn:doi:10.3390/galaxies11020058 |
| Access Level: | acceso abierto |
| Palabra clave: | Restricted 3-body problem First- (second)-type periodic orbits Conservative forces First integral of motion |
| Sumario: | In this work, a perturbed system of the restricted three-body problem is derived when the perturbation forces are conservative alongside the corresponding mean motion of two primaries bodies. Thus, we have proved that the first and second types of periodic orbits of the rotating Kepler problem can persist for all perturbed two-body and circular restricted three-body problems when the perturbation forces are conservative or the perturbed motion has its own extended Jacobian integral. |
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