Una nota sobre la topología y el flujo en el problema restringido de tres cuerpos
We study the topology of the unbounded region of the invariant manifolds with fixed values of the Jacobi constant C of the two-body problem, when C>3 . We describe the hamiltonian flow on this manifolds. TWo main consequences have been given : (i) a clarifyina result about the curves of zero velo...
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| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 1980 |
| País: | España |
| Institución: | Universidad de Barcelona |
| Repositorio: | Dipòsit Digital de la UB |
| OAI Identifier: | oai:diposit.ub.edu:2445/132484 |
| Acceso en línea: | https://hdl.handle.net/2445/132484 |
| Access Level: | acceso abierto |
| Palabra clave: | Equacions funcionals Functional equations |
| Sumario: | We study the topology of the unbounded region of the invariant manifolds with fixed values of the Jacobi constant C of the two-body problem, when C>3 . We describe the hamiltonian flow on this manifolds. TWo main consequences have been given : (i) a clarifyina result about the curves of zero velocity ; (ii) using the fact that the circular,planar and restricted three-body problem is a little perturbation of the two-body problem, when m or C-1 is sufficiently small, we prove the stability of the first kind of periodic orbits . |
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