Miquel Barcelona

Universitat Autònoma de Barcelona

Semi-analytical computation of heteroclinic connections between center manifolds with the parameterization method

This talk is devoted to present a methodology for the computation of heteroclinic connections between invariant tori in Hamiltonian systems using the parameterization method for the computation of invariant manifolds of fixed points of flows. We introduce a new parameterization style that uncouples the hyperbolic part from the central one in the system of reduced equations, providing parameter space with fiber structure. The method is applied to compute approximations of heteroclinic orbits between invariant tori around librational equilibrium points of the spatial, circular Restricted Three Body Problem, which are then refined using a Newton-like method. Particularly, for the Earth-Moon mass parameter, we provide representations of the whole set of heteroclinic connections between iso-energetic slices of the center manifold of L2 and L1 with minimum number of Moon revolutions, for representative values of the energy.

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Wednesday
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Semi-analytical computation of heteroclinic connections between center manifolds with the parameterization method
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