Two-boost problem for the Newtonian potential at the infinity
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866911706102366208 |
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| author | Wiśniewska, Jagna |
| author_facet | Wiśniewska, Jagna |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_13373 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Two-boost problem for the Newtonian potential at the infinity Wiśniewska, Jagna Symplectic Geometry 34C11, 70F15, 70F05, 70F07, 57R58 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. |
| title | Two-boost problem for the Newtonian potential at the infinity |
| topic | Symplectic Geometry 34C11, 70F15, 70F05, 70F07, 57R58 |
| url | https://arxiv.org/abs/2512.13373 |