English

Long-term evolution of the asteroid orbits at the 3:1 mean motion resonance with Jupiter (planar problem)

Astrophysics 2009-11-11 v1

Abstract

The 3:1 mean-motion resonance of the planar elliptic restricted three body problem (Sun-Jupiter-asteroid) is considered. The double numeric averaging is used to obtain the evolutionary equations which describe the long-term behavior of the asteroid's argument of pericentre and eccentricity. The existence of the adiabatic chaos area in the system's phase space is shown.

Keywords

Cite

@article{arxiv.astro-ph/0610025,
  title  = {Long-term evolution of the asteroid orbits at the 3:1 mean motion resonance with Jupiter (planar problem)},
  author = {Vladislav Sidorenko},
  journal= {arXiv preprint arXiv:astro-ph/0610025},
  year   = {2009}
}

Comments

17 pages, 20 figures