Astronomy and Astrophysics – Astrophysics
Scientific paper
2007-10-24
Mon.Not.Roy.Astron.Soc.383:897-906,2008
Astronomy and Astrophysics
Astrophysics
Accepted by MNRAS, Figures have lower quality
Scientific paper
10.1111/j.1365-2966.2007.12640.x
The dissolution process of star clusters is rather intricate for theory. We investigate it in the context of chaotic dynamics. We use the simple Plummer model for the gravitational field of a star cluster and treat the tidal field of the Galaxy within the tidal approximation. That is, a linear approximation of tidal forces from the Galaxy based on epicyclic theory in a rotating reference frame. The Poincar\'e surfaces of section reveal the effect of a Coriolis asymmetry. The system is non-hyperbolic which has important consequences for the dynamics. We calculated the basins of escape with respect to the Lagrangian points $L_1$ and $L_2$. The longest escape times have been measured for initial conditions in the vicinity of the fractal basin boundaries. Furthermore, we computed the chaotic saddle for the system and its stable and unstable manifolds. The chaotic saddle is a fractal structure in phase space which has the form of a Cantor set and introduces chaos into the system.
Ernst Andreas
Just Andreas
Porth Oliver
Spurzem Rainer
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