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arXiv · 2607.03139

Two-boost problem for the rotating Kepler problem

Jagna Wiśniewska
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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. 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.

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Jagna Wiśniewska. 2026-07-03. Two-boost problem for the rotating Kepler problem. https://arxiv.org/abs/2607.03139

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