Aug 2006
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2006iaujd..14e...1a&link_type=abstract
Modelling Dense Stellar Systems, 26th meeting of the IAU, Joint Discussion 14, 22-23 August 2006, Prague, Czech Republic, JD14,
Physics
Scientific paper
We review some recent advances relating to direct N-body codes. Ongoing efforts are focused on alleviating the serious time-scale and accuracy problem due to strongly bound orbits. A parallel endeavour is concerned with the challenge of reaching larger N. Both of these aspects are vital in the quest for realistic simulations of globular clusters and galactic nuclei. The possible presence of black holes with significant mass ratios increases the difficulties even in the non-relativistic regime. We discuss several methods which have been developed to study large systems with one or more massive bodies. Such treatments appear to be most suitable in combination with regularization methods based on dominant two-body motion. Very recent attempts to include post-Newtonian terms will also be highlighted. It is still early days in this subject but interest is bound to grow with the coming of the next generation of GRAPE hardware. In the meantime much can be learnt by experimenting with post-Newtonian toy codes for two-body motion. Finally, we report on a new stability criterion derived from first principles for the general three-body problem which will also be important for studying stellar systems containing binaries where hierarchical triples are a common feature.
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