On the Solutions of the Lorentz-Dirac Equation

Abstract

We discuss the unstable character of the solutions of the Lorentz-Dirac equation and stress the need of methods like order reduction to derive a physically acceptable equation of motion. The discussion is illustrated with the paradigmatic example of the non-relativistic harmonic oscillator with radiation reaction. We also illustrate removal of the noncasual pre-acceleration with the introduction of a small correction in the Lorentz-Dirac equation.

4 eps figs. to be published in GRG

References in corpus (1)

• Delay Equations and Radiation Damping

Cited by in corpus (2)

• Chaotic Emission from Electromagnetic Systems Considering Self-Interaction
• Newton like equations for the radiating particle: the non relativistic limit