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October 9, 2025Open Access

Wrapped Floer homology and the circular restricted three-body problem

Key Points

Proving the existence of consecutive collisions at the primaries enhances the understanding of dynamical systems.
A symmetric periodic orbit was established, showing unique behavior in the orbits of celestial bodies.
This research was conducted using wrapped Floer homology techniques, offering new mathematical tools for problem-solving.
The results apply to energy hypersurfaces slightly above the first critical value, implying limits on potential configurations.

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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Cite This Study

Broćić et al. (Thu,) studied this question.

synapsesocial.com/papers/68e7103b90569dd607ee68dc https://doi.org/https://doi.org/10.48550/arxiv.2507.23289