Numerical Methods for the 3-dimensional 2-body Problem in the Action-at-a-Distance Electrodynamics
High Energy Physics - Theory
2011-07-19 v1
Abstract
We develop two numerical methods to solve the differential equations with deviating arguments for the motion of two charges in the action-at-a-distance electrodynamics. Our first method uses St\"urmer's extrapolation formula and assumes that a step of integration can be taken as a step of light ladder, which limits its use to shallow energies. The second method is an improvement of pre-existing iterative schemes, designed for stronger convergence and can be used at high-energies.
Cite
@article{arxiv.hep-th/0105285,
title = {Numerical Methods for the 3-dimensional 2-body Problem in the Action-at-a-Distance Electrodynamics},
author = {I. N. Nikitin and J. De Luca},
journal= {arXiv preprint arXiv:hep-th/0105285},
year = {2011}
}
Comments
17 pages, 11 figures