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Stability of periodic resonance-orbits in the elliptic restricted 3-body problem

  • Long Term Evolution of Planetary Systems
  • Session on Periodic Orbits
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Abstract

Results of families of periodic orbits in the elliptic restricted problem are shown. They are calculated for the mass ratios μ=0.5 and μ=0.1 for the primary bodies and for different values of the eccentricity of the orbit of the primaries which is the second parameter. The case μ=0.5 is also a good model for planetary orbits in binaries. Finally we show detailed stability diagrams and give results according to the stability classification of Contopoulos.

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References

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Authors and Affiliations

  1. Institute of Astronomy, Vienna

    J. Kribbel & R. Dvorak

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  1. J. Kribbel
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  2. R. Dvorak
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Kribbel, J., Dvorak, R. Stability of periodic resonance-orbits in the elliptic restricted 3-body problem. Celestial Mechanics 43, 391–398 (1987). https://doi.org/10.1007/BF01234582

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  • DOI: https://doi.org/10.1007/BF01234582

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