Numerical Methods for the 3-dimensional 2-body Problem in the Action-at-a-Distance Electrodynamics

Details Numerical Methods for the 3-dimensional 2-body Problem in the Action-at-a-Distance Electrodynamics Numerical Methods for the 3-dimensional 2-body Problem in the Action-at-a-Distance Electrodynamics

2001-05-29

arxiv.org/abs/hep-th/0105285v1

Int.J.Mod.Phys.C12:739-750,2001

Physics

High Energy Physics

High Energy Physics - Theory

17 pages, 11 figures

Scientific paper

10.1142/S0129183101001894

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.

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