Resonances and close approaches. I. The Titan-Hyperion case

@article{Bevilacqua1980ResonancesAC,
  title={Resonances and close approaches. I. The Titan-Hyperion case},
  author={Roberto Bevilacqua and Ornella Menchi and Andrea Milani and Anna Maria Nobili and Paolo Farinella},
  journal={The moon and the planets},
  year={1980},
  volume={22},
  pages={141-152}
}
AbstractThe orbits of Titan and Hyperion represent an interesting case of orbital resonance of order one (ratio of periods 3/4), which can be studied within a reasonable accuracy by means of the planar restricted three-body problem. The behaviour of this resonance has been investigated by numerical integrations, of which we show the results in terms of the Poincaré mapping in the plane of the coordinates η = ✓[(2L − 2G)] cos ( $$\tilde \omega $$ H − t)and ξ = −,✓[(2L − 2G)] sin ( $$\tilde… 

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