The two-boost problem and Lagrangian Rabinowitz Floer homology (2412.08415v2)

Published 11 Dec 2024 in math.SG

Abstract: The two-boost problem in space mission design asks whether two points of phase space can be connected with the help of two boosts of given energy. We provide a positive answer for a class of systems related to the restricted three-body problem by defining and computing its Lagrangian Rabinowitz Floer homology. The main technical work goes into dealing with the noncompactness of the corresponding energy hypersurfaces.

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