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          Institute: MPI für Astronomie     Collection: Publikationen_mpia     Display Documents

ID: 421679.0, MPI für Astronomie / Publikationen_mpia
Escape from the vicinity of fractal basin boundaries of a star cluster
Authors:Ernst, A.; Just, A.; Spurzem, R.; Porth, O.
Date of Publication (YYYY-MM-DD):2008
Title of Journal:Monthly Notices of the Royal Astronomical Society
Journal Abbrev.:MNRAS
Start Page:897
End Page:906
Review Status:Peer-review
Audience:Experts Only
Abstract / Description: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 Poincaré 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 L1 and L2. 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.
Free Keywords:stellar dynamics; galaxies: star clusters
External Publication Status:published
Document Type:Article
Communicated by:N. N.
Affiliations:MPI für Astronomie
Identifiers:URL:http://adsabs.harvard.edu/abs/2008MNRAS.383..897E [ID No:1]
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