Two-boost problem for the rotating Kepler problem

Jagna Wiśniewska

Two-boost problem for the rotating Kepler problem

Symplectic Geometry 2026-07-03 v1 Mathematical Physics

Authors: Jagna Wiśniewska

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. In this article we provide a positive answer for the rotating Kepler problem by generalizing the definition of Lagrangian Rabinowitz Floer homology from the class introduced in [4] to a strictly broader class, and computing the corresponding homology in this more general setting. The principal technical challenge is the non-compactness of the energy hypersurface both near the collision singularity and in the infinity.

Cite

@article{arxiv.2607.03139,
  title  = {Two-boost problem for the rotating Kepler problem},
  author = {Jagna Wiśniewska},
  journal= {arXiv preprint arXiv:2607.03139},
  year   = {2026}
}