The Two-Body Problem of Classical Electrodynamics

Abstract

A new uniqueness theorem for ordinary differential equations was proved. This theorem was then applied to solve an old problem of electrodynamics. The mathematical model involves in charged particles moving on the x-axis, each being influenced by the retarded fields of all the others. Given appropriate past histories of the trajectories, it is now proved that unique solutions will exist as long as no two particles collide.

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Document Details

Document Type
Technical Report
Publication Date
Jun 01, 1980
Accession Number
ADA214744

Entities

People

  • Rodney D. Driver

Organizations

  • University of Rhode Island

Tags

Communities of Interest

  • Space

DTIC Thesaurus Topics

  • Applied Mathematics
  • Artificial Satellites
  • Charged Particles
  • Differential Equations
  • Electrodynamics
  • Equations
  • Equations Of Motion
  • Mathematics
  • Models
  • N Body Problem
  • Particles
  • Rhode Island
  • Trajectories
  • Universities

Readers

  • Calculus or Mathematical Analysis
  • Plasma Physics.