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Homoclinic and heteroclinic transfer trajectories between Lyapunov orbits in the Sun-Earth and Earth-Moon systems
Canalias Vila, Elisabet; Masdemont Soler, Josep
Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada I; Universitat Politècnica de Catalunya. EGSA - Equacions Diferencials, Geometria, Sistemes Dinàmics i de Control, i Aplicacions
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.
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
Attribution-NonCommercial-NoDerivs 2.5 Spain
http://creativecommons.org/licenses/by-nc-nd/2.5/es/
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