Satellite-to-satellite tracking and satellite gravity gradiometry (Advanced techniques for high-resolution geopotential field determination)

被引：21

作者：

Freeden, W ^{[1
]}

Michel, V ^{[1
]}

Nutz, H ^{[1
]}

机构：

[1] Univ Kaiserslautern, Lab Technomath, Geomath Grp, D-67653 Kaiserslautern, Germany

来源：

JOURNAL OF ENGINEERING MATHEMATICS | 2002年 / 43卷 / 01期

关键词：

Earth's external gravitational field; multiscale modelling; SST and SGG; uniqueness; well-posedness;

D O I：

10.1023/A:1016577524288

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

The purpose of satellite-to-satellite tracking (SST) and/or satellite gravity gradiometry (SGG) is to determine the gravitational field on and outside the Earth's surface from given gradients of the gravitational potential and/or the gravitational field at satellite altitude. In this paper both satellite techniques are analysed and characterized from a mathematical point of view. Uniqueness results are formulated. The justification is given for approximating the external gravitational field by finite linear combination of certain gradient fields (for example, gradient fields of single-poles or multi-poles) consistent to a given set of SGG and/or SST data. A strategy of modelling the gravitational field from satellite data within a multiscale concept is described; illustrations based on the EGM96 model are given.

引用

页码：19 / 56

页数：38