Wrapped Floer homology and the circular restricted three-body problem

Published 31 Jul 2025 in math.SG and math.DS | (2507.23289v1)

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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