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Families of Halo-like invariant tori around L2 in the Earth-Moon Bicircular Problem
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The Bicircular Problem (BCP) is a periodic time dependent perturbation of the Earth-Moon Restricted Three-Body Problem that includes the direct gravitational effect of the Sun. In this paper we use the BCP to study the existence of Halo-like orbits around $L_{2}$ in the Earth-Moon system taking into account the perturbation of the Sun. By means of computing families of 2D invariant tori, we show that there are at least two different families of Halo-like quasi-periodic orbits around $L_{2}$.
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ROSALES DE CÁCERES, José J., JORBA I MONTE, Àngel and JORBA CUSCÓ, Marc. Families of Halo-like invariant tori around L2 in the Earth-Moon Bicircular Problem. Celestial Mechanics and Dynamical Astronomy. 2021. Vol. 133, num. 16. ISSN 0923-2958. [consulted: 4 of August of 2026]. Available at: https://hdl.handle.net/2445/183533