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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2510.06368 |
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| _version_ | 1866909830788153344 |
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| author | Hunsberger, Carson Schwab, David Eapen, Roshan Singla, Puneet |
| author_facet | Hunsberger, Carson Schwab, David Eapen, Roshan Singla, Puneet |
| contents | The normal forms provide useful approximations for many trajectories of interest within the circular restricted three-body problem. This paper aims to thoroughly compare two of these forms: the Birkhoff normal form and the resonant normal form, highlighting the strengths of each for the representation of center manifold trajectories. A method of station-keeping is introduced, analogous to Floquet modes, in which the unstable component is minimized at specific points along a trajectory through impulsive maneuvers. Three different formulations of the same station-keeping approach are posed, collectively spanning Lyapunov, vertical, and halo orbits, as well as Lissajous and quasihalo trajectories. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_06368 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Comparing Normal Form Representations for Station-Keeping near Cislunar Libration Points Hunsberger, Carson Schwab, David Eapen, Roshan Singla, Puneet Systems and Control The normal forms provide useful approximations for many trajectories of interest within the circular restricted three-body problem. This paper aims to thoroughly compare two of these forms: the Birkhoff normal form and the resonant normal form, highlighting the strengths of each for the representation of center manifold trajectories. A method of station-keeping is introduced, analogous to Floquet modes, in which the unstable component is minimized at specific points along a trajectory through impulsive maneuvers. Three different formulations of the same station-keeping approach are posed, collectively spanning Lyapunov, vertical, and halo orbits, as well as Lissajous and quasihalo trajectories. |
| title | Comparing Normal Form Representations for Station-Keeping near Cislunar Libration Points |
| topic | Systems and Control |
| url | https://arxiv.org/abs/2510.06368 |