On the scattering map and homoclinic connections between Lyapunov orbits
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hdl:2117/146
Tipus de documentComunicació de congrés
Data publicació2005-09
Condicions d'accésAccés obert
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Reconeixement-NoComercial-SenseObraDerivada 2.5 Espanya
Abstract
Homoclinic and heteroclinic connections between planar Lyapunov orbits of the
Sun-Earth and Earth-Moon models can be found by using their hyperbolic
invariant manifolds and Poincare section representations. These connections can
be classified in bifurcation families according to the range of values of the
associated Jacobi constant. In the formalism of invariant manifolds (as the
aforementioned Jacobi constant changes) the foliation of all Lyapunov orbits is
a Normally Hyperbolic Invariant Manifold. In this context, the homoclinic
connections correspond to the so called Scattering map of this NHIM into
itself.
In this work, the Scattering map is studied as a possible way to
formally describe the asymptotic connections arising from the natural dynamics
of the Sun-Earth and Earth-Moon problems.
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