Spherical cap harmonic analysis: A comment on its proper use for local gravity field representation

被引：29

作者：

DeSantis, A ^{[1
]}

Torta, JM ^{[1
]}

机构：

[1] CSIC,OBSERV EBRE,ROQUETES,SPAIN

来源：

JOURNAL OF GEODESY | 1997年 / 71卷 / 09期

关键词：

spherical cap harmonic analysis; local gravity field; least-squares approach;

D O I：

10.1007/s001900050120

中图分类号：

P3 [地球物理学]; P59 [地球化学];

学科分类号：

0708 ; 070902 ;

摘要：

Spherical cap harmonic analysis is the appropriate analytical technique for modelling Laplacian potential and the corresponding field components over a spherical cap. This paper describes the use of this method by means of a least-squares approach for local gravity field representation. Formulations for the geoid undulation and the components xi, eta of the deflection of the vertical are derived, together with some warnings in the application of the technique. Although most of the formulations have been given by another paper, these were confusing or even incorrect, mainly because of an improper application of the spherical cap harmonic analysis.

引用

页码：526 / 532

页数：7

共 35 条

[1]

AN CH, 1994, J GEOMAGN GEOELECTR, V46, P789

[2]

AN CH, 1992, J GEOMAGN GEOELECTR, V44, P243

[3] REMOVAL OF TREND FRO MAGNETIC SURVEYS [J].