The two-boost problem and Lagrangian Rabinowitz Floer homology
Kai Cieliebak, Urs Frauenfelder, Eva Miranda, Jagna Wi\'sniewska
TL;DR
This paper addresses the two-boost problem in space mission design by applying Lagrangian Rabinowitz Floer homology to certain dynamical systems, providing a positive connectivity result.
Contribution
It introduces a novel application of Lagrangian Rabinowitz Floer homology to the two-boost problem, handling noncompact energy hypersurfaces.
Findings
Established positive connectivity for the two-boost problem in specific systems.
Developed techniques to manage noncompactness in Floer homology computations.
Extended Floer homology methods to space mission design problems.
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.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.