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Practical Symplectic Methods with Time Transformation for the Few-Body Problem

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Abstract

The use of the extended phase space and time transformations for constructing efficient symplectic algorithms for the investigation of long term behavior of hierarchical few-body systems is discussed. Numerical experiments suggest that the time-transformed generalized leap-frog, combined with symplectic correctors, is one of the most efficient methods for such studies. Applications extend from perturbed two-body motion to hierarchical many-body systems with large eccentricities.

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Authors and Affiliations

  1. National Astronomical Observatory, Mitaka, Tokyo, 181, Japan

    Seppo Mikkola

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  1. Seppo Mikkola
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Mikkola, S. Practical Symplectic Methods with Time Transformation for the Few-Body Problem. Celestial Mechanics and Dynamical Astronomy 67, 145–165 (1997). https://doi.org/10.1023/A:1008217427749

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