Applications of the Lorentz-Abraham-Dirac equation in long-term dynamics

TL;DR

This paper presents a perturbation modeling framework for the Lorentz-Abraham-Dirac equation, framing it as a fundamental asymptotic relation for the velocity of a charged point mass in long-term dynamics.

Contribution

It introduces a perturbation-based approach to analyze the Lorentz-Abraham-Dirac equation, offering a new perspective on its role in long-term charged particle dynamics.

Findings

Lorentz-Abraham-Dirac equation formulated as an asymptotic differential relation

Two propositions established within the perturbation framework

Enhanced understanding of long-term charged particle motion

Abstract

To improve the presentation we modified the title and used the framework of perturbation modeling of long-term dynamics so as to present the Lorentz-Abraham-Dirac equation as the lowest order, asymptotic differential relation for the velocity of a charged point-like mass. We formulated two propositions and added two references.