Evolution of asteroid orbits at the 3 : 1 their mean motion resonance with Jupiter (planar problem)

@article{Sidorenko2006EvolutionOA,
  title={Evolution of asteroid orbits at the 3 : 1 their mean motion resonance with Jupiter (planar problem)},
  author={Vladislav Sidorenko},
  journal={Cosmic Research},
  year={2006},
  volume={44},
  pages={440-455}
}
The 3 : 1 mean motion resonance is studied in the planar elliptic restricted three-body problem (Sun-Jupiter-asteroid). Using double numerical averaging, the equations are constructed that describe the secular evolution of eccentricity and perihelion longitude of the asteroid orbit. The region of adiabatic chaos is isolated in the phase space of the system under study. 
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