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NBODYCL: A Program to Generate Regularized Classical Trajectories for the <em>n</em>-Body Coulomb Problem

by Mbuso Khanyani Matfunjwa, Harindranath B Ambalampitiya, and Ilya I Fabrikant

Posted: December 16, 2025
Server: Preprints.org
DOI: 10.20944/preprints202512.1422.v1

A program package for calculating regularized classical trajectories for Coulomb n−body problem is developed. The Coulomb singularities from the equations of motion are removed by transformations of variables including the time. This effectively conserves the energy of the time-independent systems to a high accuracy for long time propagation. Sample calculations are shown for the cases of 2,3,4, and 5 particle systems giving comparisons with the un-regularized trajectories. The program can be used for general purposes including the classical-trajectory Monte-Carlo simulations for charged-particle collisions in free or laser environments.

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