Astrophysics and Space Science

, Volume 14, Issue 1, pp 118–132 | Cite as

Direct integration methods of theN-body problem

  • S. J. Aarseth


A fourth-order polynomial method for the integration ofN-body systems is described in detail together with the computational algorithm. Most particles are treated efficiently by an individual time-step scheme but the calculation of close encounters and persistent binary orbits is rather time-consuming and is best performed by special techniques. A discussion is given of the Kustaanheimo-Stiefel regularization procedure which is used to integrate dominant two-body encounters as well as close binaries. Suitable decision-making parameters are introduced and a simple method is developed for regularizing an arbitrary number of simultaneous two-body encounters.


Integration Method Special Technique Arbitrary Number Computational Algorithm Direct Integration 
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Copyright information

© D. Reidel Publishing Company 1971

Authors and Affiliations

  • S. J. Aarseth
    • 1
  1. 1.Institute of Theoretical AstronomyCambridgeEngland

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