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On the number of isolating integrals in resonant systems with 3 degrees of freedom

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Abstract

The 2∶2∶1-resonance case for a potential problem with three degrees of freedom is characterized by the existence of two isolating approximate integrals apart from the energy. This result completes a statement by Gustavson concerning the number of formal integrals in resonant Hamiltonian systems.

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References

  • Contopoulos, G.: 1978,Celes. Mech. 17, 167.

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  • Gustavson, F. G.: 1966,Astron. J. 71, 670.

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Authors and Affiliations

  1. Geneva Observatory and ESO, Switzerland

    L. Martinet

  2. Geneva Observatory, Switzerland

    P. Magnenat

  3. Mathematisch Instituut, Rijksuniversiteit Utrecht, 3508 TA, Utrecht, The Netherlands

    F. Verhulst

Authors
  1. L. Martinet
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  2. P. Magnenat
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  3. F. Verhulst
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Martinet, L., Magnenat, P. & Verhulst, F. On the number of isolating integrals in resonant systems with 3 degrees of freedom. Celestial Mechanics 25, 93–99 (1981). https://doi.org/10.1007/BF01301811

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  • DOI: https://doi.org/10.1007/BF01301811

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