The fast Lyapunov indicator: a simple tool to detect weak chaos. Application to the structure of the main asteroidal belt

被引：92

作者：

Froeschle, C ^{[1
]}

Gonczi, R ^{[1
]}

Lega, E ^{[1
]}

机构：

[1] CNRS,LATAPSES,F-06560 VALBONNE,FRANCE

来源：

PLANETARY AND SPACE SCIENCE | 1997年 / 45卷 / 07期

关键词：

D O I：

10.1016/S0032-0633(97)00058-5

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

A new method is presented, based on the variation with time of the length of vectors evolving in-tangential space, which distinguishes very quickly between regular and chaotic motion. This method is closely related to the computation of the Lyapunov characteristic exponents, but because of the speed of computation it can be easily applied to the study of a large set of orbits. This method is tested for the 2-dimensional standard mapping, and the structure of the phase space is explored for the 4-dimensional standard map simulating the conditions of the distribution of asteroids. Then the distribution of the 716 asteroids orbiting between the 3/1 and 5/2 Kirkwood gaps is studied. (C) 1997 Elsevier Science Ltd.

引用

页码：881 / 886

页数：6

共 15 条

[1]

[Anonymous], CELEST MECH DYN ASTR

[2]

BENETTIN G, 1978, CR ACAD SCI A MATH, V286, P431

[3] On the measure of the structure around the last KAM torus before and after its break-up [J].