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Abstract: The dissolution process of star clusters is rather intricate for theory. Weinvestigate it in the context of chaotic dynamics. We use the simple Plummermodel for the gravitational field of a star cluster and treat the tidal fieldof the Galaxy within the tidal approximation. That is, a linear approximationof tidal forces from the Galaxy based on epicyclic theory in a rotatingreference frame. The Poincar\-e surfaces of section reveal the effect of aCoriolis asymmetry. The system is non-hyperbolic which has importantconsequences for the dynamics. We calculated the basins of escape with respectto the Lagrangian points $L 1$ and $L 2$. The longest escape times have beenmeasured for initial conditions in the vicinity of the fractal basinboundaries. Furthermore, we computed the chaotic saddle for the system and itsstable and unstable manifolds. The chaotic saddle is a fractal structure inphase space which has the form of a Cantor set and introduces chaos into thesystem.



Autor: Andreas Ernst, Andreas Just, Rainer Spurzem, Oliver Porth

Fuente: https://arxiv.org/







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