Open AccessDerivations of the equation for the field lines of an axisymmetric multipole
Author(s) -
Jeffreys Bertha
Publication year - 1988
Publication title -
geophysical journal
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.302
H-Index - 168
eISSN - 1365-246X
pISSN - 0952-4592
DOI - 10.1111/j.1365-246x.1988.tb01148.x
Subject(s) - multipole expansion , rotational symmetry , legendre polynomials , harmonics , spherical harmonics , physics , spherical multipole moments , field (mathematics) , fast multipole method , classical mechanics , mathematical analysis , mathematics , mechanics , quantum mechanics , voltage , pure mathematics
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.