2024/12/11 by Cieliebak, Kai, Frauenfelder, Urs, Miranda, Eva +1 · 1 citation
#37J51 #53D12 #53D40 #57R58 #70F07 #70F15 #FOS: Mathematics #Symplectic Geometry (math.SG)
paper · doi:10.48550/arxiv.2412.08415
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.