Bi-normal trajectories in the circular restricted three-body problem
In this note, we study existence of infinitely many trajectories bi-normal (i.e. normal at initial and final times) to the xz-plane in the Spatial Circular Restricted Three-Body problem, in the convexity range and near the primaries, under the assumption of the twist condition as defined by Moreno-v...
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| Main Authors: | , |
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| Format: | Article (Journal) |
| Language: | English |
| Published: |
26 May 2025
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| In: |
Journal of fixed point theory and applications
Year: 2025, Volume: 27, Issue: 2, Pages: 1-11 |
| ISSN: | 1661-7746 |
| DOI: | 10.1007/s11784-025-01203-5 |
| Online Access: | Resolving-System, kostenfrei, Volltext: https://doi.org/10.1007/s11784-025-01203-5 Verlag, kostenfrei, Volltext: https://link.springer.com/article/10.1007/s11784-025-01203-5 
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| Author Notes: | Agustin Moreno and Arthur Limoge |
| Summary: | In this note, we study existence of infinitely many trajectories bi-normal (i.e. normal at initial and final times) to the xz-plane in the Spatial Circular Restricted Three-Body problem, in the convexity range and near the primaries, under the assumption of the twist condition as defined by Moreno-van-Koert in [10]. Modulo our assumptions, this is an expected application of the relative Poincaré-Birkhoff theorem for Lagrangians in Liouville domains, as proven by the authors in [8]. |
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| Item Description: | Gesehen am 09.12.2025 |
| Physical Description: | Online Resource |
| ISSN: | 1661-7746 |
| DOI: | 10.1007/s11784-025-01203-5 |