NUMERICAL EVIDENCE ON THE CHAOTIC NATURE OF THE 3/1 MEAN MOTION COMMENSURABILITY

被引:50
作者
MORBIDELLI, A [1 ]
MOONS, M [1 ]
机构
[1] FAC UNIV NOTRE DAME PAIX,DEPT MATH,B-5000 NAMUR,BELGIUM
关键词
D O I
10.1006/icar.1995.1078
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
In this paper we examine some realistic numerical integrations of objects in the 3/1 commensurability. We show that, as pointed out by the analytic model in Moons and Morbidelli (1995, Icarus, 114, 33-50), the dynamics in the 3/1 commensurability is strongly chaotic due to the overlapping of secular resonances. As a consequence, the eccentricity of bodies in the 3/1 commensurability can increase to e similar or equal to 1 on a time scale of 1 Myr. This causes the 3/1 resonant asteroids to cross the orbit of the Earth and, possibly, to fall into the Sun. Therefore the 3/1 resonance is an active transport route of meteorites to the Earth. However, the collisions with the Sun can get rid of most potential meteorites before their encounter with the Earth. (C) 1995 Academic Press, Inc.
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页码:60 / 65
页数:6
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