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Non-integrability of the problem of motion around an oblate planet

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Abstract

We provide a result of non-analytic integrability of the so-called J 2-problem. Precisely by using the Lerman theorem we are able to prove the existence of a region of the phase space, where the dynamical system exhibits chaotic motions.

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Authors and Affiliations

  1. Dipartimento di Matematica Pura e Applicata, Università di L'Aquila, 1-67100, Coppito, L'Aquila, Italy

    Alessandra Celletti & Piero Negrini

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  1. Alessandra Celletti
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  2. Piero Negrini
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Celletti, A., Negrini, P. Non-integrability of the problem of motion around an oblate planet. Celestial Mech Dyn Astr 61, 253–260 (1995). https://doi.org/10.1007/BF00051896

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  • DOI: https://doi.org/10.1007/BF00051896

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