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| The goal of this talk is to show the existence of global instability in the elliptic restricted three body problem (ERTBP). The main tool is to compute two different scattering maps associated to the infinity manifold, which behaves topologically as a normally hyperbolic invariant manifold (NHIM). The combination of both scattering maps allows us to build trajectories whose angular momentum increases arbitrarily. The computation of such scattering maps relies
heavily on the computation of the Melnikov potential associated to the separatrix of the NHIM. |
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