On the Stochasticity of the Asteroid Belt |
| |
| Authors: | Claude Froeschlé Robert Gonczi Elena Lega Ugo Locatelli |
| |
| Institution: | 1. Observatoire de la C?te d'Azur, Bd. de l'Observatoire, CNRS/UMR 6529, BP 4229, 06304, Nice, France
2. CNRS-LATAPSES, 250 Rue A. Einstein, 06560, Valbonne, France
|
| |
| Abstract: | The study of the stochasticity of the asteroid belt requires the analysis of a large number of orbits. We detect the dynamical
character of a set of 5 400 asteroids using the Fast Lyapunov Indicator, a method of analysis closely related to the computation
of the Lyapunov Characteristic Exponents, but cheaper in computational time. For both regular and chaotic orbits we try to
associate the motion to the underlying resonances network. For it we consider different methods of classification of rational
numbers proposed by number theory, and we choose the one which seems to be strictly related to the dynamical behaviour of
a system.
This revised version was published online in July 2006 with corrections to the Cover Date. |
| |
| Keywords: | Chaotic motion Lyapunov numbers number theory asteroid belt |
| 本文献已被 SpringerLink 等数据库收录！ |
|
