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《Chinese Journal of Geophysics》 2012-05
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Construction of the least squares collocation models for single component and composite components of disturbed gravity gradients

LIU Xiao-Gang1,2,WU Xiao-Ping1,WANG Kai1 1 Institute of Surveying and Mapping,Information and Engineering University,Zhengzhou 450052,China 2 Xi′an Research Institute of Surveying and Mapping,Xi′an 710054,China  
This work constructs the spherical harmonic analysis models for single component Tzz and composite components Txx+Tyy,Tzz-Txx-Tyy of disturbed gravity gradients to compute earth′s gravitational field model(EGM).Besides,the series expansion formulae of variance and covariance functions of the diagonal components of disturbed gravity gradients are deduced.Then,the practical computational formulae of covariance functions between single component,composite components and the gravity potential coefficients are deduced.Finally,this work presents the fundamental formula of the least squares collocation(LSC) to compute EGM using the single component and composite components.The results show that the LSC is robust to a certain extent and the effective degree and precision of EGM decay gradually with the increase of errors.The precision of the EGM computed by the composite components Tzz-Txx-Tyy is the best,while that of the composite components Txx+Tyy is the least.
【Fund】: 国家自然科学基金(41174026 41104047 41174017);; 中国科学院研究生院地球科学学院博士后基金(2010046);; 信息工程大学博士学位论文创优基金资助
【CateGory Index】: P223
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