Abstract

ESCALONA-BUENDIA, A.  and  PINA, E.. Periodic orbits for the elliptic case of the Sun-Earth-Moon problem in new coordinates. Rev. mex. fis. [online]. 2002, vol.48, n.5, pp.433-449. ISSN 0035-001X.

We present a set of periodic and quasi-periodic orbits for the bidimensional case of the Sun-Earth-Moon problem using the coordinates recently introduced by Piria and Jimenez-Lara. Eliminating the restriction we used in a previous work that Earth-Moon system describes a circular orbit around the Sun, we recover the periodic orbits we have found, and we find periodic orbits for the elliptic case. We also find quasi-periodic orbits closer to the real case.

Keywords : Three body problem; Moon theory; celestial mechanics.

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