Accession Number : AD0750860

Title :   Approximate Second Invariant for a Dipole Field.

Descriptive Note : Research rept. Oct-Nov 70,

Corporate Author : AEROSPACE CORP EL SEGUNDO CALIF LAB OPERATIONS

Personal Author(s) : Schulz,Michael

Report Date : 15 SEP 1972

Pagination or Media Count : 20

Abstract : Mathematically self-consistent analytical approximations to the second invariant and drift frequency in terms of pitch angle and energy are deduced from an existing analytical approximation to the bounce period of a charged particle trapped in the field of a magnetic dipole. The numerical accuracy of the resulting expressions is significantly better than that of the approximations to these functions customarily found in the literature. The results are potentially of interest in simplifying the theories of bimodal diffusion and other dynamical phenomena in the magnetosphere. (Author)

Descriptors :   (*MAGNETOSPHERE, PARTICLE TRAJECTORIES), DIPOLE MOMENTS, DIFFERENTIAL EQUATIONS, APPROXIMATION(MATHEMATICS), INVARIANCE, GEOMAGNETISM, CHARGED PARTICLES

Subject Categories : Atmospheric Physics
      Electricity and Magnetism

Distribution Statement : APPROVED FOR PUBLIC RELEASE