THE TERRESTRIAL RING CURRENT,

Abstract

Several people have computed numerically the magnetic field caused by an axially symmetric body of plasma imbedded in a dipole magnetic field. An approximate formula for this magnetic field is derived without first choosing a particular functional form for the plasma density. This has the consequence that one can easily discuss any particular case without recourse to a computer, whereas previous treatments resulted in a tabulation of an answer for a particular case only, and new cases required new computer runs. The method used avoids the usual fine net required by the singularity in the integrand. This is achieved by constructing a new quadrature formula which treats this singularity exactly. The then permitted coarse net makes possible an algebraic treatment rather than a numerical one. (Author)

Document Details

Document Type
Technical Report
Publication Date
Jul 01, 1964
Accession Number
AD0443406

Entities

People

  • Ernest C. Ray

Organizations

  • RAND Corporation

Tags

DTIC Thesaurus Topics

  • Computers
  • Magnetic Fields

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis
  • Plasma Physics / Magnetohydrodynamics