The Stationary Worldlines and Power Distributions of a Point Charge

TL;DR

This paper classifies stationary worldlines of a uniformly accelerating point charge, analyzes their power emission and angular distribution, and computes related physical properties including maximum angles and Thomas precession.

Contribution

It introduces a comprehensive classification of stationary worldlines and provides detailed analysis of power distribution and radiation characteristics for each type.

Findings

Six types of stationary worldlines identified.

Angular distribution of radiation characterized for all types.

Maximum emission angles and Thomas precession calculated.

Abstract

The uniform acceleration of a point charge moving along a stationary worldline, which emits constant radiated power was investigated. A classification of motion of a particle along stationary worldlines into six types is made. The angular distribution of this power is found for all stationary worldlines including those with torsion and hypertorsion and their properties and features are also described. Their proper accelerations, acceleration ratios, minimum velocities and constant power emissions are computed. The graphs of emitted radiation with different speeds are illustrated in two and three dimensional space. Additionally, the maximum angle and Thomas precession of radiation is found.