The two-boost problem and Lagrangian Rabinowitz Floer homology

Ergodic Theory and Dynamical Systems 2026 Open access

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Authors: Kai Cieliebak, Urs Frauenfelder, Eva Miranda, Jagna Wiśniewska
DOI: 10.1017/etds.2026.10281
Cited by: 0

Abstract

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 having a similar behaviour at infinity as the restricted three-body problem by defining and computing its Lagrangian Rabinowitz Floer homology. The principal technical challenge is dealing with the non-compactness of the associated energy hypersurfaces.

Fields of Study & Subjects

Geometric and Algebraic Topology Advanced Numerical Analysis Techniques Computational Geometry and Mesh Generation

Publication details

Journal / source
Ergodic Theory and Dynamical Systems
Volume
46
Issue
8
Pages
1877–1935
Publication date
10 April 2026
Language
EN