Derivations of the equation for the field lines of an axisymmetric multipole

Two methods are given for finding the equation for the field lines of an axisymmetric multipole. One of these is based on Legendre's equation and the other on a treatment of spherical harmonics which goes back to Clerk Maxwell. These methods and that of Willis and Young are compatible.

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Bibliographic Details
Published inGeophysical Journal Vol. 92; no. 2; pp. 355 - 356
Main Author Jeffreys, Bertha
Format Journal Article
LanguageEnglish
Published Oxford, UK Blackwell Publishing Ltd 01.02.1988
Subjects
Clerk Maxwell
multipoles
spherical harmonics
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Summary:Two methods are given for finding the equation for the field lines of an axisymmetric multipole. One of these is based on Legendre's equation and the other on a treatment of spherical harmonics which goes back to Clerk Maxwell. These methods and that of Willis and Young are compatible.
Bibliography:ark:/67375/HXZ-4S6RV09L-Z
istex:E6C81A0ACDCF82011C0C2AE5864416B9BB0F535B
ISSN:0956-540X
0952-4592
1365-246X
DOI:10.1111/j.1365-246X.1988.tb01148.x