Spatial Distribution of Regular and Chaotic Orbits in a Model Elliptical Galaxy
Abstract
We created a model elliptical galaxy through the cold collapse of 100,000 particles using a quadrupolar N-body code. The potential was then freezed and smoothed and 3,472 orbits, selected at random, were investigated using two different methods: 1) Lyapunov exponents; 2) The frequency analysis of Carpintero and Aguilar (1998, MNRAS 298, 1). The results of both methods are compared and the spatial distributions of the different kinds of orbits are presented. Chaotic orbits with only one and with two non-zero Lyapunov exponents are shown to have different spatial distributions, the former behaving in a way more akin to that of regular orbits.
This work was supported by grants from the Universidad Nacional de La Plata (UNLP) and from the Consejo Nacional de Investigaciones Científicas y Técnicas de la República Argentina (CONICET).- Publication:
-
AAS/Division of Dynamical Astronomy Meeting #35
- Pub Date:
- May 2004
- Bibcode:
- 2004DDA....35.0306M