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arXiv · 2412.16671

Bi-normal trajectories in the Circular Restricted Three-Body Problem

Agustin Moreno·Arthur Limoge
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Abstract

In this note, we show there exist infinitely many trajectories which are bi-normal (i.e. normal at initial and final times) to the xz-plane, in the Spatial Circular Restricted Three-Body Problem, for energies below or slightly above the first critical value and near the primaries, under the assumption of the twist condition as defined by Moreno-van-Koert in arXiv:2011.06562. This is an application of the relative Poincar\'e-Birkhoff theorem for Lagrangians in Liouville domains, as proven by the authors in arXiv:2408.06919.

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Agustin Moreno, Arthur Limoge. 2024-12-21. Bi-normal trajectories in the Circular Restricted Three-Body Problem. https://arxiv.org/abs/2412.16671

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