Computation of the invariant manifolds of infinity in the restricted circular planar three body problem with the parametrization method
This work analyses the parabolic stable manifolds of the periodic orbits at infinity for the Restricted Planar Circular Three Body Problem. Using the parametrization method we prove the existence of such manifold and we compute an approximate parametrization K with an internal dynamic Y. That leads...
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| Tipo de recurso: | tesis de maestría |
| Fecha de publicación: | 2017 |
| 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:2117/104593 |
| Acceso en línea: | https://hdl.handle.net/2117/104593 |
| Access Level: | acceso abierto |
| Palabra clave: | Differentiable dynamical systems Dynamical systems Numerical analysis Sistemes dinàmics diferenciables Classificació AMS::37 Dynamical systems and ergodic theory::37M Approximation methods and numerical treatment of dynamical systems Àrees temàtiques de la UPC::Matemàtiques i estadística::Equacions diferencials i integrals::Sistemes dinàmics |
| Sumario: | This work analyses the parabolic stable manifolds of the periodic orbits at infinity for the Restricted Planar Circular Three Body Problem. Using the parametrization method we prove the existence of such manifold and we compute an approximate parametrization K with an internal dynamic Y. That leads to numerical computations that will be analysed and compared with a similar methodology called the graph transform method. |
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