On quasi-periodic motions around the triangular libration points of the real Earth-Moon system

Authors: Hou, X.¹; Liu, L.²

Source: Celestial Mechanics and Dynamical Astronomy, Volume 108, Number 3, November 2010 , pp. 301-313(13)

Publisher: Springer

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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.

Keywords: Earth-Moon; Triangular libration point; Dynamical substitute; Quasi-periodic orbit

Document Type: Research article

DOI: http://dx.doi.org/10.1007/s10569-010-9305-3

Affiliations: 1: Astronomy Department, Nanjing University, 210093, Nanjing, China, Email: silence@nju.edu.cn 2: Astronomy Department, Nanjing University, 210093, Nanjing, China

Publication date: 2010-11-01