Research Catalog

Title

Tables of integrals for the spherical harmonic expansion of the hydromagnetic equations / Keith Leon McDonald, Charles O. Stearns.

Author

McDonald, Keith L.

Publication

Boulder, Colo. : U.S. Department of Commerce, Environmental Sciences Services Administration, Research Laboratories, Earth Sciences Laboratories, 1969.

Items in the Library & Off-site

Details

Additional Authors

• Stearns, Charles O.
• Earth Sciences Laboratories (U.S.), publisher.
• United States. Environmental Science Services Administration. Research Laboratories.

Description

iii, 69 pages; 27 cm

Summary

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 principled integers inclusive of an 8th-degree harmonic analysis. Extension to compressible media introduces two further surface integral forms that are each simply evaluated in therms of a finite sum of products of the above tabulated integrals. A general development is presented of the known inter-relationships between these four basis integrals, and their selection rules are discussed. Their occurrence in the coupling elements is made explicit in the appendix.

Series Statement

ESSA technical report ERL ; 94. ESL ; 5

Uniform Title

• ESSA technical report ERL ; 94.
• ESSA technical report ERL. ESL ; 5.

Subject

• Geomagnetism
• Spherical harmonics
• Integrals > Tables
• geomagnetism
• Geomagnetism
• Integrals
• Spherical harmonics

Genre/Form

• tables (documents)
• Tables (Data)
• Tables
• Tables (Données)

Bibliography (note)

• Bibliography: p. 63-64.

OCLC

• ocm39612823
• 39612823
• SCSB-293946

Owning Institutions

Princeton University Library