Open AccessTransformation of multipolar source fields under a change of reference frame
Author(s) -
Minster J. B.
Publication year - 1976
Publication title -
geophysical journal of the royal astronomical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.302
H-Index - 168
eISSN - 1365-246X
pISSN - 0016-8009
DOI - 10.1111/j.1365-246x.1976.tb07094.x
Subject(s) - reference frame , transformation (genetics) , translation (biology) , rotation (mathematics) , frame of reference , simple (philosophy) , displacement (psychology) , frame (networking) , geometry , computer science , mathematics , classical mechanics , physics , psychology , telecommunications , biochemistry , chemistry , philosophy , epistemology , messenger rna , psychotherapist , gene
Summary. Simple and convenient formulae are derived which describe the transformation of a multipolar expansion under an arbitrary proper rotation of the reference frame. When combined with the corresponding formulae for a translation, these results show how multipolar representations of source fields transform under any proper displacement of the reference frame. Particular emphasis is placed on the seismic source problem; however, these results find applications in many other physical problems.