Multistep Methods for Integrating the Solar System
Author(s)Skordos, Panayotis S.
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High order multistep methods, run at constant stepsize, are very effective for integrating the Newtonian solar system for extended periods of time. I have studied the stability and error growth of these methods when applied to harmonic oscillators and two-body systems like the Sun-Jupiter pair. I have also tried to design better multistep integrators than the traditional Stormer and Cowell methods, and I have found a few interesting ones.
numerical integration, error analysis, solar system, stwo-body problem, multistep integrators, roundoff error