| Solving Three Types of Satellite Gravity Gradient Boundary Value Problems by Least-Squares |
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| 作者姓名： | XU Xinyu LI Jiancheng ZOU Xiancai CHU Yonghai |
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| 作者单位： | School of Geodesy and Geomatics Wuhan University，129 Luoyu Road Wuhan 430079China |
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| 摘 要： | The principle and method for solving three types of satellite gravity gradient boundary value problems by least-squares are discussed in detail. Also, kernel function expressions of the least-squares solution of three geodetic boundary value problems with the observations {Γ zz },{Γ xz , Γ yz} and {Γ xx -Γ yy ,2 Γxy}are presented. From the results of recovering gravity field using simulated gravity gradient tensor data, we can draw a conclusion that satellite gravity gradient integral formulas derived from least-squares are valid and rigorous for recovering the gravity field.
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| 关 键 词： | 卫星 重力倾斜度 最小平方 边值问题 |
| 文章编号： | 1009-5020（2007）03-168-05 |
| 收稿时间： | 13 June 2007 |
| 修稿时间： | 2007-06-13 |
Solving three types of satellite gravity gradient boundary value problems by least-squares |
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| XU Xinyu LI Jiancheng ZOU Xiancai CHU Yonghai.Solving Three Types of Satellite Gravity Gradient Boundary Value Problems by Least-Squares[J].Geo-Spatial Information Science,2007,10(3):168-172. |
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| Authors: | Xu Xinyu Li Jiancheng Zou Xiancai Chu Yonghai |
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| Institution: | (1) School of Geodesy and Geomatics, Wuhan University, 129 Luoyu Road, Wuhan, 430079, China |
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| Abstract: | The principle and method for solving three types of satellite gravity gradient boundary value problems by least-squares are
discussed in detail. Also, kernel function expressions of the least-squares solution of three geodetic boundary value problems
with the observations {Г
zz}, {Г
xz, Г
yz} and {Г
xx − Г
yy, 2Г
xy} are presented. From the results of recovering gravity field using simulated gravity gradient tensor data, we can draw a
conclusion that satellite gravity gradient integral formulas derived from least-squares are valid and rigorous for recovering
the gravity field.
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| Keywords: | least-square GBVP kernel function satellite gravity gradient |
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