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《Chinese Journal of Geophysics》 2011-01
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Accurate and rapid determination of GOCE Earth's gravitational field using time-space-wise-approach associated with Kaula regularization

ZHENG Wei~(1,2),HSU Hou-Tse~1,ZHONG Min~1,YUN Mei-Juan~3,ZHOU Xu-Hua~4 1 Key Laboratory of Dynamic Geodesy,Institute of Geodesy and Geophysics,Chinese Academy of Sciences,Wuhan 430077,China 2 Disaster Prevention Research Institute,Kyoto University,Uji,Kyoto 611-0011,Japan 3 Department of Applied Physics,Wuhan University of Science and Technology,Wuhan 430081,China 4 Shanghai Astronomical Observatory,Chinese Academy of Sciences,Shanghai 200030,China  
The GOCE Earth's gravitational field complete up to degree and order 250 is recovered based on the time-space-wise-approach associated with Kaula regularization in order to study the influences of satellite gravity gradiometry on the accuracy of medium-high frequency Earth's gravitational field recovery.The simulated results show:Firstly,the time-space-wise-approach is an effective way to accurately and rapidly determine the high-degree Earth s gravitational field; Secondly,the Kaula regularization is one of the key processes to reduce ill condition of normal matrix;Thirdly,the large-scale linear system of equations is solved quickly using the improved pre-conditioned conjugate-gradient iterative approach,and the computing speed can be improved at least 1000 times as compared to the direct least-squares approach;Fourthly,at the degree 250, cumulative geoid height and gravity anomaly errors are 9.295 cm and 0.204 mGal with orbital error 1 cm and gravity gradient error 3×10~(-12)/s~2,respectively.Finally,the complementarity of high-accuracy and high-resolution Earth s gravitational field recovery between international GRACE and GOCE missions is demonstrated.
【Fund】: 中国科学院知识创新工程青年人才重要方向项目(KZCX2-EW-QN114);; 国家自然科学青年基金(41004006);; 湖北省自然科学基金(2010CDB05301);; 中国测绘科学研究院地理空间信息工程国家测绘局重点实验室开放基金(201031);; 中国科学院动力大地测量学重点实验室开放基金(L09-14);; 中国科学院测量与地球物理研究所知识创新工程领域前沿项目;; 湖北省耐火材料与高温陶瓷重点实验室省部共建国家重点实验室培育基地开放基金(G201009)联合资助
【CateGory Index】: P223
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