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

Astronomy and Astrophysics – Astronomy

Scientific paper

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Symplectic Integration, Few-Body Problem, Few-Body Problem.

Scientific paper

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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