Smooth potential chaos and N-body simulations

Details Smooth potential chaos and N-body simulations Smooth potential chaos and N-body simulations

2002-07-03

arxiv.org/abs/astro-ph/0207090v2

Astrophys.J. 585 (2003) 244-249

Astronomy and Astrophysics

Astrophysics

9 pages plus 7 figures, expanded version to appear in Astrophysical Journal

Scientific paper

10.1086/345948

Integrations in fixed N-body realisations of smooth density distributions corresponding to a chaotic galactic potential can be used to derive reliable estimates of the largest (finite time) Lyapunov exponent X_S associated with an orbit in the smooth potential generated from the same initial condition, even though the N-body orbit is typically characterised by an N-body exponent X_N >> X_S. This can be accomplished either by comparing initially nearby orbits in a single N-body system or by tracking orbits with the same initial condition evolved in two different N-body realisations of the same smooth density.

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