Abstract The question of Lyapunov stability of stationary points around a central body has been studied in the absence of resonances and in the case of resonances of order 3 and 4, by means of the computation of the normal form up to second order. However, some special degenerate cases are not covered, as it happens for resonances of order 5 and 6, when the free parameters of the problem are chosen properly. In this article, we deal with these resonances and apply appropriate results to establish the stability properties of the stationary points.


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    Title :

    Resonances and the Stability of Stationary Points Around a Central Body


    Contributors:
    Elipe, A. (author) / Lanchares, V. (author) / Pascual, A. I. (author)

    Published in:

    Publication date :

    2012-06-01


    Size :

    16 pages




    Type of media :

    Article (Journal)


    Type of material :

    Electronic Resource


    Language :

    English





    Resonances and the Stability of Stationary Points Around a Central Body

    Elipe, A. / Lanchers, V. / Pascual, A.I. et al. | British Library Conference Proceedings | 2012


    Resonances and the Stability of Stationary Points Around a Central Body

    Elipe, A. / Lanchares, V. / Pascual, A. I. | Online Contents | 2012



    Resonances and the Stability of Stationary Points Around a Central Body (AAS 10-301)

    Elipe, A. / Lanchares, V. / Pascual, A.I. et al. | British Library Conference Proceedings | 2011