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 Keple...
| Autores: | , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2024 |
| 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:2117/419382 |
| Acceso en línea: | https://hdl.handle.net/2117/419382 https://dx.doi.org/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 Classificació AMS::70 Mechanics of particles and systems::70F Dynamics of a system of particles, including celestial mechanics Classificació AMS::37 Dynamical systems and ergodic theory::37N Applications Àrees temàtiques de la UPC::Matemàtiques i estadística Àrees temàtiques de la UPC::Enginyeria mecànica |
| 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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