Non-existence of rational integrals in the J22-problem

Physics

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Elsevier: Non-Integrability, Analytic Integrals, Rational Integrals, Ziglin Theorem, Yoshida Theorem, Satellite Problem, J22-Perturbation

Scientific paper

In this paper we establish the non-existence of additional global
rational integrals for a satellite problem, only under the perturbation
of the main sectorial term, J22, by using methods based on
some theorems by Yoshida and Ziglin.

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