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On the stability parameters of periodic solutions

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Abstract

The stability parametersa, b, c, d of plane symmetric periodic solutions of non-integrable dynamical systems of two degrees of freedom are obtained in terms of their initial states of motion and elements of their variational matrics. Explicit formulae are given in the cases of the Störmer problem and the restricted problem of three bodies.

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Authors and Affiliations

  1. Dept. of Mechanics, University of Patras, Greece

    V. V. Markellos

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  1. V. V. Markellos
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Markellos, V.V. On the stability parameters of periodic solutions. Astrophys Space Sci 43, 449–458 (1976). https://doi.org/10.1007/BF00640021

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  • DOI: https://doi.org/10.1007/BF00640021

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