Resonant motion of trans-Neptunian objects in high-eccentricity orbits

@article{Emelyanenko2008ResonantMO,
  title={Resonant motion of trans-Neptunian objects in high-eccentricity orbits},
  author={Vacheslav V. Emel'yanenko and Ekaterina Kiseleva},
  journal={Astronomy Letters},
  year={2008},
  volume={34},
  pages={271-279}
}
A substantial fraction of the Edgeworth-Kuiper belt objects are presently known to move in resonance with Neptune (the principal commensurabilities are 1/2, 3/5, 2/3, and 3/4). We have found that many of the distant (with orbital semimajor axes a > 50 AU) trans-Neptunian objects (TNOs) also execute resonant motions. Our investigation is based on symplectic integrations of the equations of motion for all multiple-opposition TNOs with a > 50 AU with allowance made for the uncertainties in their… 
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