Abstract
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 (J 2 + J 22)—problem or ‘general main satellite problem’.
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© 1999 Springer Science+Business Media Dordrecht
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Sansaturio, M.E., Vigo-Aguiar, I., Ferrándiz, J.M. (1999). Non—Integrability of the Motion of a Point Mass around a Planet of Arbitrary Shape. In: Steves, B.A., Roy, A.E. (eds) The Dynamics of Small Bodies in the Solar System. NATO ASI Series, vol 522. Springer, Dordrecht. https://doi.org/10.1007/978-94-015-9221-5_28
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DOI: https://doi.org/10.1007/978-94-015-9221-5_28
Publisher Name: Springer, Dordrecht
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