PARTICLE MOTIONS IN A MAGNETIC FIELD

Abstract

The report is concerned with rigorously establishing the existence of quasi-periodic motions for a charged particle in a magnetic field. The following results are obtained: The existence of quasi-periodic motions lying near the equatorial plane for a charged particle moving under the influence of the earth's magnetic field (considered here as a magnetic dipole). This proves the stability of the periodic 'equatorial orbits' for small values of energy. The existence of quasi-periodic motions which need not lie near the equator, exhibiting thereby the trapping of particles as observed in the Van Allen radiation belt. Moreover, these motions may penetrate arbitrarily close to the dipole, a result which was somewhat unexpected. This existence of quasi-periodic motions in a rotationally symmetrix magnetic 'minor field.'

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Document Details

Document Type
Technical Report
Publication Date
Mar 01, 1969
Accession Number
AD0686789

Entities

People

  • Martin Braun

Organizations

  • Brown University

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Analytic Functions
  • Angular Momentum
  • Charged Particles
  • Differential Equations
  • Equations
  • Equations Of Motion
  • Equatorial Orbits
  • Four Dimensional
  • Lepidoptera
  • Magnetic Dipoles
  • Magnetic Fields
  • Magnetic Moments
  • Orbits
  • Periodic Functions
  • Three Dimensional
  • Trajectories
  • Two Dimensional

Fields of Study

  • Physics

Readers

  • Fluid Dynamics.
  • Plasma Physics.
  • Space/Atmospheric Physics.

Technology Areas

  • Space
  • Space - Orbital Debris