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Published December 1976 | Published
Journal Article Open

Transformation of multipolar source fields under a change of reference frame

Minster, J. B.

Abstract

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.

Additional Information

Copyright © 1976 The Royal Astronomical Society. Received 1976 April 1; in original form 1973 June 30. This research was supported by the Advanced Research Projects Agency of the Department of Defense and was monitored by the Air Force Office of Scientific Research under Contract No. AFOSR F44620-72-C-0083 and F44620-72-C-0078. Contribution No. 2309, Division of Geological and Planetary Sciences, Pasadena, California.

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Created:
August 19, 2023
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