Basic aspects of geopotential field approximation from satellite-to-satellite tracking data

被引：4
|
作者：
Freeden, W [1 ]
Michel, V [1 ]
机构：
[1] Univ Kaiserslautern, Lab Technomath, Geomath Grp, D-67653 Kaiserslautern, Germany
来源：
MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2001年 / 24卷 / 11期
关键词：
satellite-to-satellite tracking; external gravitational field; uniqueness; fundamental systems; scalar and vectorial trial systems; closure theorems;
D O I：
10.1002/mma.244
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The satellite-to-satellite tracking (SST) problems are characterized from mathematical point of view. Uniqueness results are formulated. Moreover, the basic relations are developed between (scalar) approximation of the earth's gravitational potential by 'scalar basis systems' and (vectorial) approximation of the gravitational field by 'vectorial basis systems'. Finally, the mathematical justification is given for approximating the external geopotential field by finite linear combinations of certain gradient fields (for example, gradient fields of multi-poles) consistent to a given set of SST data. Copyright (C) 2001 John Wiley & Sons, Ltd.
引用
收藏
页码：827 / 846
页数：20
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