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arXiv · 2507.23289

Wrapped Floer homology and the circular restricted three-body problem

Filip Broćić·Urs Frauenfelder
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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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Filip Broćić, Urs Frauenfelder. 2025-07-31. Wrapped Floer homology and the circular restricted three-body problem. https://doi.org/10.2298/pim2532001b

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