Non integrability of theJ 2 problem |
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| Authors: | Maylis Irigoyen Carles Simó |
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| Affiliation: | (1) Université Paris 2, 92 rue d'Assas, 75006 Paris, France;(2) Dept. de Matemàtica Aplicada i Anàlisi, Univ. de Barcelona, Gran Via 585, 08007 Barcelona, Spain |
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| Abstract: | We consider the motion of a massless particle around an oblate planet, keeping only in the expression of the perturbing potential the second degree zonal harmonic. We prove the analytical non integrability of this problem, by using Ziglin's theorem and the Yoshida criterion for homogeneous potentials. |
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| Keywords: | Non integrability second degree zonal harmonic |
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