Accession Number:

AD0683517

Title:

TABLES OF INTEGRALS FOR THE SPHERICAL HARMONIC EXPANSION OF THE HYDROMAGNETIC EQUATIONS.

Descriptive Note:

Technical rept.,

Corporate Author:

NATIONAL OCEANIC AND ATMOSPHERIC ADMINISTRATION BOULDER CO EARTH SCIENCES LABS

Report Date:

1969-01-01

Pagination or Media Count:

73.0

Abstract:

The method of spherical harmonic expansion of the hydromagnetic equations for incompressible media involves two well-known integral forms that are evaluated by standard numerical integration methods. The results are tabulated to 10 significant figure accuracy for all sets of principal integers inclusive of an 8th-degree harmonic analysis. Extension to compressible media introduces two further surface integral forms that are each simply evaluated in terms of a finite sum of products of the above tabulated integrals. A general development is presented of the known interrelationships between these four basic integrals, and their selection rules are discussed. Their occurrence in the coupling elements is made explicit in the appendix. Author

Subject Categories:

  • Geomagnetism
  • Theoretical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE