小惑星の運動におけるレゾナンスとカオス(基研短期研究会『天体現象と非線形・非平衡物理』,研究会報告)

Abstract

The motions of asteroids in the mean motion resonances with Jupiter are investigated by a semi-analytical model. By using this model, it is found that eccentricities of asteroids may become very large when asteroids are in one of the resonances. These large increases in eccentricity are also confirmed by the numerical integrations. The gaps in the asteroidal belt can be explained by these large variations of eccentricities. It is known that asteroids show chaotic behavior when they are in the mean motion resonances. In this paper, the chaotic behavior of asteroids in the 7:3 resonance is shown.