Homoclinic and heteroclinic transfer trajectories between Lyapunov orbits in the Sun-Earth and Earth-Moon systems
In this paper a method for finding homoclinic and heteroclinic connections between Lyapunov orbits using invariant manifolds in a given energy surface of the planar restricted circular three body problem is developed. Moreover, the systematic application of this method to a range of Jacobi constants...
| Autores: | , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2004 |
| 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:2117/1207 |
| Acceso en línea: | https://hdl.handle.net/2117/1207 |
| Access Level: | acceso abierto |
| Palabra clave: | Nonlinear Dynamics Differentiable dynamical systems Differential equations Restricted three body problem Lyapunov orbits invariant manifolds Homoclinic and heteroclinic orbits Low energy transfers Partícules (Física nuclear) Sistemes dinàmics diferenciables Teoria ergòdica Equacions diferencials ordinàries Classificació AMS::34 Ordinary differential equations::34C Qualitative theory Classificació AMS::37 Dynamical systems and ergodic theory::37D Dynamical systems with hyperbolic behavior Classificació AMS::37 Dynamical systems and ergodic theory::37N Applications Classificació AMS::70 Mechanics of particles and systems::70K Nonlinear dynamics |
| Sumario: | In this paper a method for finding homoclinic and heteroclinic connections between Lyapunov orbits using invariant manifolds in a given energy surface of the planar restricted circular three body problem is developed. Moreover, the systematic application of this method to a range of Jacobi constants provides a classification of the connections in bifurcation families. The models used correspond to the Sun-Earth+Moon and the Earth-Moon cases. |
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