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Authors: De Santis, A.* 
Torta, J. M.* 
Falcone, C.* 
Title: A simple approach to the transformation of spherical harmonic models under coordinate system rotation
Journal: Geophysical Journal International 
Series/Report no.: / 126 (1996)
Publisher: Blackwell Publishing
Issue Date: 1996
Keywords: geomagnetic field
numerical techniques
spherical harmonics
Subject Classification04. Solid Earth::04.05. Geomagnetism::04.05.03. Global and regional models 
04. Solid Earth::04.05. Geomagnetism::04.05.05. Main geomagnetic field 
05. General::05.05. Mathematical geophysics::05.05.99. General or miscellaneous 
Abstract: The transformation of a set of spherical harmonic coefficients characterizing a model of the geomagnetic field, or a general function defined on a sphere, subject to a rotation of the coordinate system, is given by the direct relations between the coefficients and then by using a numerical approach. The parameters for a pair of such rotations (from one set to another, and vice versa) are given, along with a few examples of their application. The method is particularly useful for the comparison of geophysical characteristics derived from models developed under different coordinate systems. It offers a practical solution to the problem, which can be implemented without difficulty.
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