Abstract:The two-boost problem in space mission design asks whether two points of position space can be connected by a Hamiltonian path on a fixed energy level set. We provide a positive answer for a class of systems having the same behaviour at infinity as the restricted three-body problem by relating it to the Lagrangian Rabinowitz Floer homology computed in [4]. The main technical challenge is to prove the boundedness of the corresponding sets of Reeb chords.
| Subjects: | Symplectic Geometry (math.SG) |
| MSC classes: | 34C11, 70F15, 70F05, 70F07, 57R58 |
| Cite as: | arXiv:2512.13373 [math.SG] |
| (or arXiv:2512.13373v2 [math.SG] for this version) | |
| https://doi.org/10.48550/arXiv.2512.13373 arXiv-issued DOI via DataCite |
From: Jagna Wiśniewska [view email]
[v1]
Mon, 15 Dec 2025 14:28:04 UTC (14 KB)
[v2]
Fri, 22 May 2026 12:32:09 UTC (14 KB)
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