Surfaces of section in the Miranda-Umbriel 3:1 inclination problem

  title={Surfaces of section in the Miranda-Umbriel 3:1 inclination problem},
  author={Mich{\`e}le Moons and Jacques Henrard},
  journal={Celestial Mechanics and Dynamical Astronomy},
  • M. MoonsJ. Henrard
  • Published 1 June 1994
  • Physics, Geology
  • Celestial Mechanics and Dynamical Astronomy
The recent numerical simulations of Tittemore and Wisdom (1988, 1989, 1990) and Dermottet al. (1988), Malhotra and Dermott (1990) concerning the tidal evolution through resonances of some pairs of Uranian satellites have revealed interesting dynamical phenomena related to the interactions between close-by resonances. These interactions produce chaotic layers and strong secondary resonances. The slow evolution of the satellite orbits in this dynamical landscape is responsible for temporary… 

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