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.
Keywords
- Integration Scheme
- Star Cluster
- Integration Procedure
- Force Evaluation
- External Gravitational Field
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References
S.J. Aarseth, Monthly Notices Roy. Astron. Soc., 126, 223, 1963
S.J. Aarseth, Astrophys. Space Sci. 14, 118, 1971
S.J. Aarseth, in Vistas in Astronomy, Pergamon Press, London, 1973 (to be published)
S. von Hoerner, Z. Astrophys. 50, 184, 1960
R. Wielen, Veröffentl. Astron. Rechen-Inst. Heidelberg No. 19, 1967
R. Wielen, in Proceedings of the First European Astronomical Meeting, Athens, 1972, Springer Verlag Berlin-Heidelberg-New York, 1973
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© 1974 Springer-Verlag
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Wielen, R. (1974). On the numerical integration of the N-body problem for star clusters. In: Bettis, D.G. (eds) Proceedings of the Conference on the Numerical Solution of Ordinary Differential Equations. Lecture Notes in Mathematics, vol 362. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0066596
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DOI: https://doi.org/10.1007/BFb0066596
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Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-06602-6
Online ISBN: 978-3-540-37911-9
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