Existence of consecutive collisions and symmetric periodic orbit proved in the circular restricted three-body problem, suggesting new insights in celestial mechanics.
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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Broćić et al. (2025) studied this question.
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