ASTEROID DYNAMICS
AT THE 3:1 MEAN MOTION RESONANCE WITH JUPITER (PLANAR PROBLEM)
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.