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A Comparison of Numerical Methods for the Study of Star Cluster Dynamics

Abstract

We compare the results of three different numerical methods for computing the evolution of a spherical star cluster from a given initial state, under the influence of internal relaxation: the N-body integration, the Monte Carlo method, and the fluid-dynamical approach. The general features of the evolution are very similar in all cases. The rates of evolution differ somewhat; for stars of equal masses, taking the N-body integrations as a reference, the Monte Carlo models evolve too fast by a factor 1.5, and the fluid-dynamical models by a factor 2 to 3.


Publication:
Astronomy and Astrophysics
Pub Date:
December 1974
Bibcode:
1974A&A....37..183A
Keywords:
  • Astronomical Models;
  • Computerized Simulation;
  • Numerical Analysis;
  • Star Clusters;
  • Stellar Evolution;
  • Celestial Mechanics;
  • Fluid Dynamics;
  • Fokker-Planck Equation;
  • Many Body Problem;
  • Mathematical Models;
  • Monte Carlo Method;
  • Numerical Integration;
  • Relaxation Method (Mathematics);
  • Astrophysics
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