Phase Space Coordinates of Long Lifetime Trapped Radiation from Stoermer Mapping.

Abstract

The concept of an 'essentially closed' manifold and several theorems on a plane mapping are introduced and applied to a 'Stoermer mapping' for a particle trapped in a dipole magnetic field. The trapped region is found to be divisible into many subregions in any one of which a particle forever remains confined. Alternatives are given to Dragt and Finn's interpretation that homoclinic points exist. A method is given of determining if they do exist. Numerical examples are given of regions of phase space where protons should have a long lifetime. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Jan 18, 1979
Accession Number
ADA072995

Entities

People

  • Charles W. Dubs

Organizations

  • Air Force Research Laboratory

Tags

Communities of Interest

  • Air Platforms
  • C4I

DTIC Thesaurus Topics

  • Air Force
  • Angular Momentum
  • Atmospheric Scattering
  • Boundaries
  • Charged Particles
  • Computers
  • Dipoles
  • Energy
  • Equations
  • Errors
  • Kinetic Energy
  • Magnetic Dipoles
  • Magnetic Fields
  • Magnetic Moments
  • Numerical Integration
  • Radiation
  • Two Dimensional

Fields of Study

  • Physics

Readers

  • Mathematical Modeling and Probability Theory.
  • Plasma Physics / Magnetohydrodynamics
  • Space Exploration and Orbital Mechanics.

Technology Areas

  • Space