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

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

2006-10-02

arxiv.org/abs/astro-ph/0610025v1

Astronomy and Astrophysics

Astrophysics

17 pages, 20 figures

Scientific paper

10.1134/S001095250605008X

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.

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