Wrapped Floer homology and the circular restricted three-body problem

2025/07/31 by Broćić, Filip, Frauenfelder, Urs · 1 citation
#53D40 #70F07 #70F16 #70H05 #Dynamical Systems (math.DS) #FOS: Mathematics #Symplectic Geometry (math.SG)

paper · doi:10.48550/arxiv.2507.23289

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.

Citations

• Wrapped Floer homology and subcritical handle attachment
• Consecutive collision orbits in the restricted three-body problem above the first critical energy value
• The chord conjecture for conormal bundles
• Existence of either a periodic collisional orbit or infinitely many consecutive collision orbits in the planar circular restricted three-body problem
• Rabinowitz-Floer homology on Brieskorn manifolds
• On the wrapped Fukaya category and based loops

Cited by

• Wrapped Floer homology and subcritical handle attachment

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