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《Acta Geodaetica et Cartographica Sinica》 2011-02
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Point-mass Harmonic Analysis of Satellite Gradiometry Boundary Value Problem

WU Xing1,2,ZHANG Chuanding3,WANG Kai4 1.Center for Engineering Design and Research under the Headquarters of General Equipment,Beijing 100028,China;2.Naval Institute of Hydrographic Surveying and Charting,Tianjin 300061,China;3.College of Earth Science,Graduate University of Chinese Academy of Sciences,Beijing 100049,China;4.Institute of Surveying and Mapping,Information Engineering University,Zhengzhou 450052,China  
The basic equations for the solution of global point-mass model based on the complex combination and complete tensor components of global gravity gradient were studied and established in this paper,from which point-mass harmonic analysis solutions of single determined and over determined boundary value problems based on satellite gravity gradient were attained.The stability of point-mass harmonic analysis solutions was obtained via the decomposition of large linear equations using blocked cyclic matrices.Finally,simulation experiments with EGM2008 were made to validate the validity and feasibility of point-mass harmonic analysis of satellite gravity gradient boundary value problems.Results indicate that with proper depths of the point masses,point-mass harmonic analysis could recover an earth gravity field model at a higher precision which is a little better than that from the generalized torus harmonic analysis.
【Fund】: 国家自然科学基金(40774031);; 解放军信息工程大学博士生创新基金(200707)
【CateGory Index】: P223.6
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