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E.T.S. de Ingenieros Industriales,
Paseo del Cauce s/n, E-47011 Valladolid, Spain
I. Vigo-Aguiar and J.M. Ferrandiz
Dept. de Matemática Aplicada, Escuela Politécnica Superior
E-03080 Alicante, Spain
E-mail: email@example.com and firstname.lastname@example.org
In this paper, several results on the non-integrability of the problem of a satellite under different assumptions on the mass distribution of the primary are collected. Among them, we pay special attention to the non-integrability through meromorphic integrals of any truncation of the zonal satellite problem, as well as to that of the (J2 + J22)-problem or 'general main satellite problem'.