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Periodic orbits in a resonant dynamical system

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Abstract

We study the periodic orbits in a two dimensional dynamical system, symmetric with respect to both axes, with two equal or nearly equal frequencies. It is shown that the periodic orbits can be found directly from the equations of motion. The form of these orbits depends on the value of the coupling parameter α. We verify the theoretical results by numerical calculations.

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References

  • Bertola, F. and Capaccioli, M.: 1975,Astrophys. J. 200, 439.

    Google Scholar 

  • Binney, J.: 1980,Phil. Trans. Roy. Soc.,296, 329.

    Google Scholar 

  • Caranicolas, N. and Barbanis, B.: 1982,Astron. Astrophys. 114, 360 (Paper I).

    Google Scholar 

  • Contopoulos, G. and Zikides, M.: 1981,Astron. Astrophys. 90, 198.

    Google Scholar 

  • Illingworth, G.: 1977,Astrophys. J. Lett. 218, L43.

    Google Scholar 

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Authors and Affiliations

  1. Astronomy Department, University of Thessaloniki, Thessaloniki, Greece

    N. Caranicolas

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  1. N. Caranicolas
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Caranicolas, N. Periodic orbits in a resonant dynamical system. Celestial Mechanics 33, 209–215 (1984). https://doi.org/10.1007/BF01230503

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  • DOI: https://doi.org/10.1007/BF01230503

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