Solving three types of satellite gravity gradient boundary value problems by least-squares |
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Authors: | Xinyu Xu Jiancheng Li Xiancai Zou Yonghai Chu |
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Institution: | School of Geodesy and Geomatics , Wuhan University , Wuhan , 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 {Гzz}, {Гxz, Гyz} and {Гxx ? Гyy, 2Гxy} 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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