Astronomisches Rechen-Institut Heidelberg

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ARI-Heidelberg Mitteilungen Serie A, No. 75

Author(s): Wielen, R.
Title: On the Numerical Integration of the N-Body Problem for Star Clusters
Source: In: Numerical Solution of Ordinary Differential Equations; D.G. Bettis (ed.), Lecture Notes in Mathematics, Vol. 362, Springer-Verlag, Berlin, p. 276-290
Year: 1974
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. 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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