Symmetric comet-type periodic orbits in the elliptic three-dimensional restricted (N+1)-body problem
For N≥3, we show the existence of symmetric periodic orbits of very large radii in the elliptic three-dimensional restricted (N+1)-body problem when the N primaries have equal masses and are arranged in a N-gon central configuration. These periodic orbits are close to very large circular Keplerian o...
| Autores: | , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2024 |
| País: | España |
| Institución: | Universitat Autònoma de Barcelona |
| Repositorio: | Dipòsit Digital de Documents de la UAB |
| Idioma: | inglés |
| OAI Identifier: | oai:ddd.uab.cat:308839 |
| Acceso en línea: | https://ddd.uab.cat/record/308839 https://dx.doi.org/urn:doi:10.1016/j.physd.2024.134426 |
| Access Level: | acceso abierto |
| Palabra clave: | Spatial restricted N-body problem Periodic Orbits Symmetric orbits Continuation method Legendre polynomials Lie transform |
| Sumario: | For N≥3, we show the existence of symmetric periodic orbits of very large radii in the elliptic three-dimensional restricted (N+1)-body problem when the N primaries have equal masses and are arranged in a N-gon central configuration. These periodic orbits are close to very large circular Keplerian orbits lying nearly a plane perpendicular to that of the primaries. They exist for a discrete sequence of values of the mean motion, no matter the value of the eccentricity of the primaries. |
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