Positive answer to the two-boost problem for Newtonian potentials at infinity via relation to Lagrangian Rabinowitz Floer homology from prior work.
The two-boost problem and Lagrangian Rabinowitz Floer homology
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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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Two-boost problem for the Newtonian potential at the infinity
Positive answer to the two-boost problem for Newtonian potentials at infinity via relation to Lagrangian Rabinowitz Floer homology from prior work.