Accession Number:

ADA175408

Title:

Eigenfunction Methods in Magnetospheric Radial-Diffusion Theory.

Descriptive Note:

Technical rept.,

Corporate Author:

AEROSPACE CORP EL SEGUNDO CA SPACE SCIENCES LAB

Personal Author(s):

Report Date:

1986-09-30

Pagination or Media Count:

18.0

Abstract:

Complete sets of orthonormal basis functions constructed according to a generalization of the quantum mechanical WKB approximation can be used to generate a nearly diagonal matrix representation of the radial transport operator for ring current ions in the presence of radial diffusion and charge exchange. The resulting eigenfunctions constructed by weighting the basis functions in proportion to the respective components of the eigenvectors of the matrix representation and eigenvalues provide a spatial and temporal description of the evolving phase space density during and following a magnetospheric disturbance e.g., a magnetic storm. A linear superposition of the basis functions can also be used to eliminate any discrepancy between the steady state solution of the transport equation and the appropriate WKB approximation of this steady state solution. Keywords Bassel Functions Radiation Belts Transport Theory.

Subject Categories:

  • Atmospheric Physics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE