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arXiv · 2510.06368

Comparing Normal Form Representations for Station-Keeping near Cislunar Libration Points

Carson Hunsberger·David Schwab·Roshan Eapen·Puneet Singla
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Abstract

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.

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Carson Hunsberger, David Schwab, Roshan Eapen, Puneet Singla. 2025-10-07. Comparing Normal Form Representations for Station-Keeping near Cislunar Libration Points. https://arxiv.org/abs/2510.06368

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