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

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

Nov 2010

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2010cemda.108..301h&link_type=abstract

Celestial Mechanics and Dynamical Astronomy, Volume 108, Issue 3, pp.301-313

Astronomy and Astrophysics

Astronomy

3

Earth–Moon, Triangular Libration Point, Dynamical Substitute, Quasi-Periodic Orbit

Scientific paper

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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