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Periodic solutions of a galactic potential

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  • Llibre, Jaume
  • Paşca, Daniel
  • Valls, Claudià

Abstract

We study analytically the periodic solutions of a Hamiltonian in R6 given by the kinetic energy plus a galactic potential, using averaging theory of first order. The model perturbs a harmonic oscillator, and has been extensively used in order to describe local motion in galaxies near an equilibrium point.

Suggested Citation

  • Llibre, Jaume & Paşca, Daniel & Valls, Claudià, 2014. "Periodic solutions of a galactic potential," Chaos, Solitons & Fractals, Elsevier, vol. 61(C), pages 38-43.
    • Handle: RePEc:eee:chsofr:v:61:y:2014:i:c:p:38-43
    DOI: 10.1016/j.chaos.2014.02.005
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    References listed on IDEAS

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    1. Arribas, M. & Elipe, A. & Floría, L. & Riaguas, A., 2006. "Oscillators in resonance p:q:r," Chaos, Solitons & Fractals, Elsevier, vol. 27(5), pages 1220-1228.
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    Cited by:

    1. de Bustos, María T. & Guirao, Juan L.G. & Llibre, Jaume & Vera, Juan A., 2016. "New families of periodic orbits for a galactic potential," Chaos, Solitons & Fractals, Elsevier, vol. 82(C), pages 97-102.

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    1. de Bustos, María T. & Guirao, Juan L.G. & Llibre, Jaume & Vera, Juan A., 2016. "New families of periodic orbits for a galactic potential," Chaos, Solitons & Fractals, Elsevier, vol. 82(C), pages 97-102.

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