Wrapped Floer homology and the circular restricted three-body problem

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 01 Jan 2025Embargo end date: 01 Jul 2025 English Publisher:National Library of SerbiaJournal:Publications de l'Institut Mathematique, volume 118, pages 1-16 (issn: 0350-1302, eissn: 1820-7405,

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Authors: Filip Brocic; Urs Frauenfelder;

doi: 10.2298/pim2532001b , 10.48550/arxiv.2507.23289

arXiv: 2507.23289

Wrapped Floer homology and the circular restricted three-body problem

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Abstract

Using the wrapped Floer homology, we prove the existence of consecutive collisions at the primaries in the circular restricted three-body problem. We also prove the existence of a symmetric periodic orbit. These existence results are obtained for energy hypersurfaces slightly above the first critical value.

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Universität Augsburg
Germany

Keywords

FOS: Mathematics, Symplectic Geometry (math.SG), Symplectic Geometry, Dynamical Systems (math.DS), 53D40, 70H05, 70F07, 70F16, Dynamical Systems

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