On the two body problem in the classical electrodynamics

TL;DR

This paper presents a numerical approach to the classical two-body problem in electrodynamics, incorporating electromagnetic radiation and reaction forces to better understand their effects on particle motion.

Contribution

It introduces a novel numerical method that accounts for radiation reaction forces in the classical two-body electrodynamics problem.

Findings

Numerical solutions demonstrate the impact of radiation reaction on particle trajectories.

The approach improves understanding of energy loss due to radiation.

Results suggest potential refinements for classical electrodynamics models.

Abstract

In this paper we propose an approach to the problem of two body motion in classical electrodynamics that takes into account the electromagnetic radiation and the radiation reaction forces. The resulting differential equations are solved numerically.