Suppose an arbitrary function expressed in a surface spherical harmonic expansion series when the pole is translocated at an arbitrary point on the surface of a sphere. The coefficients of the expansion series are functions of the latitude and longitude of the translocated pole. GANEKO [6] has derived the general transformation formula of spherical harmonic expansion coefficients in a form of the modified Jacobi polynomials. It can be applied to theoretical problems of geodesy and geophysics including the translocation of the polar axis. This paper shows a simple method for deriving GANEKO's transformation formula and its inverse one, with their applications to the global geoidal height. © 1984, The Geodetic Society of Japan. All rights reserved.
CITATION STYLE
Hagiwara, Y. (1984). A Simple Method for Deriving the Transformation Formula of Spherical Harmonic Expansion Coefficients and its Application. Journal of the Geodetic Society of Japan, 30(2), 92–106. https://doi.org/10.11366/sokuchi1954.30.92
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