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arXiv · 1103.1970

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

Maciej J Capinski·Pablo Roldan
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Abstract

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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Maciej J Capinski, Pablo Roldan. 2011-03-10. Existence of a Center Manifold in a Practical Domain around L1 in the Restricted Three Body Problem. https://arxiv.org/abs/1103.1970

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