Existence of a Center Manifold in a Practical Domain around L1 in the Restricted Three Body Problem

Details Existence of a Center Manifold in a Practical Domain around L1 in the Restricted Three Body Problem Existence of a Center Manifold in a Practical Domain around L1 in the Restricted Three Body Problem

2011-03-10

arxiv.org/abs/1103.1970v1

Mathematics

Dynamical Systems

Scientific paper

We give a proof of existence of centre manifolds within large domains for
systems with an integral of motion. The proof is based on a combination of
topological tools, normal forms and rigorous-computer-assisted computations. We
apply our method to obtain an explicit region in which we prove existence of a
center manifold in the planar Restricted Three Body Problem.

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