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Reduction of some perturbed Keplerian problems

Author

Listed:
  • Iñarrea, Manuel
  • Lanchares, Victor
  • Palacián, Jesús F.
  • Pascual, Ana I.
  • Salas, J. Pablo
  • Yanguas, Patricia

Abstract

Perturbed Hamiltonian Keplerian systems enjoying some discrete and continuous symmetries can be brought to a one degree of freedom system containing the main qualitative features of the original one. This reduced system is defined in a compact set of the plane where the qualitative dynamics can be studied in a systematic way.

Suggested Citation

  • Iñarrea, Manuel & Lanchares, Victor & Palacián, Jesús F. & Pascual, Ana I. & Salas, J. Pablo & Yanguas, Patricia, 2006. "Reduction of some perturbed Keplerian problems," Chaos, Solitons & Fractals, Elsevier, vol. 27(2), pages 527-536.
  • Handle: RePEc:eee:chsofr:v:27:y:2006:i:2:p:527-536
    DOI: 10.1016/j.chaos.2005.03.052
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    Cited by:

    1. Iñarrea, Manuel & Lanchares, Víctor & Palacián, Jesús F. & Pascual, Ana I. & Pablo Salas, J. & Yanguas, Patricia, 2009. "The effect of J2 on equatorial and halo orbits around a magnetic planet," Chaos, Solitons & Fractals, Elsevier, vol. 42(1), pages 155-169.

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