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A chain regularization method for the few-body problem

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Abstract

A regularization method for integrating the equations of motion of small N-body systems is discussed. We select a chain of interparticle vectors in such a way that the critical interactions requiring regularization are included in the chain. The equations of motion for the chain vectors are subsequently regularized using the KS-variables and a time transformation. The method has been formulated for any number of bodies, but the most important application appears to be in the four-body problem which is therefore discussed in detail.

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Authors and Affiliations

  1. Turku University Observatory, University of Turku, 20500, Turku, Finland

    Seppo Mikkola

  2. Institute of Astronomy, Madingley Road, Cambridge, England

    Sverre J. Aarseth

Authors
  1. Seppo Mikkola
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  2. Sverre J. Aarseth
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Mikkola, S., Aarseth, S.J. A chain regularization method for the few-body problem. Celestial Mech Dyn Astr 47, 375–390 (1989). https://doi.org/10.1007/BF00051012

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  • DOI: https://doi.org/10.1007/BF00051012

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