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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