著者
萩原 幸男
出版者
日本測地学会
雑誌
測地学会誌 (ISSN:00380830)
巻号頁・発行日
vol.30, no.2, pp.92-106, 1984-08-25 (Released:2010-09-07)
参考文献数
6

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.

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