Astronomisches Rechen-Institut Heidelberg

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Paper 1972015

Author(s): Wielen, R.
Title: On the Numerical Integration of the N-Body Problem for Star Clusters
Source: Bull. American Astron. Soc. 4, 423
Year: 1972
Abstract: We describe a numerical procedure of integrating the equations of motion of the gravitational N-body problem, which has been successfully used for integrating systems with up to 500 stars (Aarseth, Wielen). The method uses polynomials which typically include the fifth time-derivative of the acceleration. The time step varies with time and differs from star to star. A discussion of the observed range of individual time steps indicates a large gain in computational efficiency by using individual time steps instead of integrating all the equations with the same step size
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