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Title: | Numerical study of the geometry of the phase space of the Augmented Hill Three-Body problem |
Author: | Farrés Basiana, Ariadna Jorba i Monte, Àngel Mondelo González, José María |
Keywords: | Problema dels tres cossos Sistemes hamiltonians Three-body problem Hamiltonian systems |
Issue Date: | 19-Apr-2017 |
Publisher: | Springer Verlag |
Abstract: | The Augmented Hill Three-Body problem is an extension of the classical Hill problem that, among other applications, has been used to model the motion of a solar sail around an asteroid. This model is a 3 degrees of freedom (3DoF) Hamiltonian system that depends on four parameters. This paper describes the bounded motions (periodic orbits and invariant tori) in an extended neighbourhood of some of the equilibrium points of the model. An interesting feature is the existence of equilibrium points with a 1:1 resonance, whose neighbourhood we also describe. The main tools used are the computation of periodic orbits (including their stability and bifurcations), the reduction of the Hamiltonian to centre manifolds at equilibria, and the numerical approximation of invariant tori. It is remarkable how the combination of these techniques allows the description of the dynamics of a 3DoF Hamiltonian system. |
Note: | Versió postprint del document publicat a: https://doi.org/10.1007/s10569-017-9762-z |
It is part of: | Celestial Mechanics and Dynamical Astronomy, 2017, vol. 129, p. 25-55 |
URI: | http://hdl.handle.net/2445/123692 |
Related resource: | https://doi.org/10.1007/s10569-017-9762-z |
ISSN: | 0923-2958 |
Appears in Collections: | Articles publicats en revistes (Matemàtiques i Informàtica) |
Files in This Item:
File | Description | Size | Format | |
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678605.pdf | 6.97 MB | Adobe PDF | View/Open |
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