SPATIALLY RESTRICTED INTEGRALS IN GRADIOMETRIC BOUNDARY VALUE PROBLEMS

被引：11

作者：

Eshagh, M. ^{[1
]}

机构：

[1] Royal Inst Technol KTH, Div Geodesy, Stockholm, Sweden

来源：

ARTIFICIAL SATELLITES-JOURNAL OF PLANETARY GEODESY | 2009年 / 44卷 / 04期

关键词：

Clebsch-Gordan's coefficients; Gaunt's coefficients; harmonic analysis; associated Legendre's function; satellite gravity gradiometry; Slepian's function;

D O I：

10.2478/v10018-009-0025-4

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

The spherical Slepian functions can be used to localize the solutions of the gradiometric boundary value problems on a sphere. These functions involve spatially restricted integral products of scalar, vector and tensor spherical harmonics. This paper formulates these integrals in terms of combinations of the Gaunt coefficients and integrals of associated Legendre functions. The presented formulas for these integrals are useful in recovering the Earth's gravity field locally from the satellite gravity gradiometry data.

引用

页码：131 / 148

页数：18

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