An implementation of N-body chain regularization

Details An implementation of N-body chain regularization An implementation of N-body chain regularization

Nov 1993

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1993cemda..57..439m&link_type=abstract

Celestial Mechanics and Dynamical Astronomy (ISSN 0923-2958), vol. 57, no. 3, p. 439-459

Mathematics

116

Celestial Mechanics, Computerized Simulation, Many Body Problem, Orbit Calculation, Particle Motion, Algorithms, Coordinate Transformations, Equations Of Motion, Perturbation, Vectors (Mathematics)

Scientific paper

The chain regularization method (Mikkola and Aarseth 1990) for high accuracy computation of particle motions in small N-body systems has been reformulated. We discuss the transformation formulas, equations of motion and selection of a chain of interparticle vectors such that the critical interactions requiring regularization are included in the chain. The Kustaaheimo-Stiefel (KS) coordinate transformation and a time transformation is used to regularize the dominant terms of the equations of motion. The method has been implemented for an arbitrary number of bodies, with the option of external perturbations. This formulation has been succesfully tested in a general N-body program for strongly interacting subsystems. An easy to use computer program, written in FORTRAN, is available on request.

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