The two-boost problem and Lagrangian Rabinowitz Floer homology
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
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2024
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| _version_ | 1866916039034404864 |
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| author | Cieliebak, Kai Frauenfelder, Urs Miranda, Eva Wiśniewska, Jagna |
| author_facet | Cieliebak, Kai Frauenfelder, Urs Miranda, Eva Wiśniewska, Jagna |
| contents | 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 related to the restricted three-body problem by defining and computing its Lagrangian Rabinowitz Floer homology. The main technical work goes into dealing with the noncompactness of the corresponding energy hypersurfaces. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_08415 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | The two-boost problem and Lagrangian Rabinowitz Floer homology Cieliebak, Kai Frauenfelder, Urs Miranda, Eva Wiśniewska, Jagna Symplectic Geometry 57R58, 53D40, 70F07, 70F15, 53D12, 37J51 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 related to the restricted three-body problem by defining and computing its Lagrangian Rabinowitz Floer homology. The main technical work goes into dealing with the noncompactness of the corresponding energy hypersurfaces. |
| title | The two-boost problem and Lagrangian Rabinowitz Floer homology |
| topic | Symplectic Geometry 57R58, 53D40, 70F07, 70F15, 53D12, 37J51 |
| url | https://arxiv.org/abs/2412.08415 |