Abstract
The two triangular libration points of the real Earth–Moon system are not equilibrium points anymore. Under the assumption that the motion of the Moon is quasi-periodic, one special quasi-periodic orbit exists as dynamical substitute for each point. The way to compute the dynamical substitute was discussed before, and a planar approximation was obtained. In this paper, the problem is revisited. The three-dimensional approximation of the dynamical substitute is obtained in a different way. The linearized central flow around it is described.
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Hou, X.Y., Liu, L. On quasi-periodic motions around the triangular libration points of the real Earth–Moon system. Celest Mech Dyn Astr 108, 301–313 (2010). https://doi.org/10.1007/s10569-010-9305-3
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DOI: https://doi.org/10.1007/s10569-010-9305-3