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《Chinese Journal of Geophysics》 2009-12
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Point mass harmonic analysis method based on spherical boundary value problem

WU Xing~(1,2),ZHANG Chuan-Ding~1,ZHAO Dong-Ming~11 Institute of Surveying and Mapping,Information Engineering University,Zhengzhou 450052,China2 Beijing Special Type Engineering Design and Reasearch Institute,Beijing 100028,China  
The global disturbing point mass model is based on the assumption that the virtual disturbing point mass are located on the same Bjerhamar sphere inside the earth and at the same time the boundary is a sphere surface.From the assumption linear equations has to be solved for the point masses.The paper is aimed at the solution of point masses by decomposing huge linear equations in terms of blocked circular matrix using the Fast Fourier Transform method.For global 30'??30' point masses,the solution was completed by decomposing a 259200-order linear equations into 720 360-order equations.The method solves the stability problem that occurs in the solution of huge linear equations for point mass modeling.The conversion from global pointmass model to spherical harmonic coefficient was made and a point mass harmonic analysis method based on spherical boundary value problem was derived.Numerical simulation proves that the proposed method is more accurate than conventional harmonic analysis method.
【Fund】: 国家自然科学基金(40774031);; 全国优秀博士论文专项基金(200344);; 解放军信息工程大学博士生创新基金(200707);; 中国科学院动力大地测量学重点实验室开放基金(L06-06)资助.
【CateGory Index】: P223
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【References】
Chinese Journal Full-text Database 3 Hits
1 LIU Xiao-gang1,2,3,WU Juan1,2,JI Jian-feng1,2(1.Xi'an Research Institute of Surveying and Mapping,Xi'an 710054,China; 2.National Key Laboratory of Geo-Information Engineering,Xi'an 710054,China; 3.Key laboratory of Geospace Environment and Geodesy of Ministry of Education,Wuhan University,Wuhan 430079,China);Construction of non-singular computational model of trajectory disturbing gravity[J];Progress in Geophysics;2013-02
2 LIU Xiao-gang;YAN Zhi-chuang;SUN Wen;ZHOU Rui;Xi'an Research Institute of Surveying and Mapping;State Key Laboratory of Geo-Information Engineering;Key laboratory of Geo-space Environment and Geodesy of Ministry of Education,Wuhan University;Institute of Geospatial Information,Information Engineering University;;Precision evaluation and analysis of least squares collocation method and spherical harmonic analysis method in the determination of the Earth's gravity field model[J];Progress in Geophysics;2014-01
3 Zhou Hao;Luo Zhicai;Zhong Bo;School of Geodesy and Geomatics,Wuhan University;Key Lab of Geospace Environment and Geodesy,Ministry of Education,Wuhan University;;DESIGN AND ANALYSIS OF MPI PARALLEL ALGORITHM FOR LARGE-SCALE MATRIX INVERSION[J];Journal of Geodesy and Geodynamics;2014-05
【Citations】
Chinese Journal Full-text Database 3 Hits
1 Wu Xiaoping(Zhengzhou Institute of Surveying and Mapping);POINT-MASS MODEL OF LOCAL GRAVITY FIELD[J];Acta Geodaetica Et Cartographic Sinica;1984-04
2 Huang Motao(Tianjin Institute of Marine Surveying and Mapping, 300061);CONFIGURATION OPTIMIZATION OF THE DISTURBINGPOINT MASSES MODEL AND ITSSEQUENTIAL SOLUTION[J];Acta Geodaetica Et Cartographic Sinica;1994-02
3 Chao Dingbo Ning Jinsheng Qiu Weigen;Quasi-point Mass Model of Integrated Geodesy[J];Journal of Wuhan Technical University of Surveying and Mapping;1992-02
【Co-citations】
Chinese Journal Full-text Database 10 Hits
1 ZHANG Hao,WU Xiao-ping,ZHAO Dong-ming(Institute of Surveying and Mapping,Information Engineering University,Zhengzhou 450052,China);A study on polynomial fitting of computing space disturbing gravity with point-mass model[J];Science of Surveying and Mapping;2007-06
2 Cao Huasheng Zhu Zhuowen Wang Xiaolan(Institute of Ceodesy and Geophysics, Academia Sinica);DIGITAL REALIZATION OF THE THEORY OF REPRE-SENTING THE EARTH'S GRAVITY FIELD BYFICTITIOUS SINGLE-LAYER DENSITY[J];Acta Geodaetica Et Cartographic Sinica;1985-04
3 Xia Zheren Li Fei(Institute of Geodesy and Ceophysics, Academia Sinica);THE MODERN THEORY AND DATA STRUCTUREIN THE APPROXIMATION OF THE EXTERNALGRAVITY FIELD OF THE EARTH[J];Acta Geodaetica Et Cartographic Sinica;1989-04
4 Xia Zheren. Jiang Fuzhen(Institute of Geodesy and Geophysics, Chinese Academy of Sciences);COMBINED DETERMINATION OF THE TIMEVARIATIONS OF EXTERNAL GRAVITY FIELDAND THE INTERIOR DENSITY OF THE EARTH[J];Acta Geodaetica Et Cartographic Sinica;1990-03
5 Ning Jinsheng*, Liu Dajie**. Chao Dingbo**(Wuhan Technical University of Surveying and Mapping)**(Tongi. University);THEORY OF INTEGRATED GEODESY AND ITSPRACTICAL APPLICATION[J];Acta Geodaetica Et Cartographic Sinica;1993-01
6 Huang Motao(Tianjin Institute of Marine Surveying and Mapping, 300061);CONFIGURATION OPTIMIZATION OF THE DISTURBINGPOINT MASSES MODEL AND ITSSEQUENTIAL SOLUTION[J];Acta Geodaetica Et Cartographic Sinica;1994-02
7 WANG Jianqiang1,LI Jiancheng1,ZHAO Guoqiang2,HAN Jiancheng1 1.School of Geodesy and Geomatics,Wuhan University,Wuhan 430079,China;2.Institute of Earthquake Science,China Earthquake Administration,Beijing 100036,China;The Construction and Analysis for Three-tier Point Mass Model of Gravity[J];Acta Geodaetica et Cartographica Sinica;2010-05
8 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;Point-mass Harmonic Analysis of Satellite Gradiometry Boundary Value Problem[J];Acta Geodaetica et Cartographica Sinica;2011-02
9 DU Jinsong1,CHEN Chao1,LIANG Qing1,WANG Linsong1,ZHANG Yi2,WANG Qiuge1 1.Institute of Geophysics and Geomatics,China University of Geosciences,Wuhan 430074,China;2.State Key Laboratory of Information Engineering in Surveying,Mapping and Remote Sensing,Wuhan University,Wuhan 430070,China;Gravity Anomaly Calculation Based on Volume Integral in Spherical Cap and Comparison with the Tesseroid-Taylor Series Expansion Approach[J];Acta Geodaetica et Cartographica Sinica;2012-03
10 Huang Yongqiang Highway and Bridge Engineering Department;CALCULATING GRAVITY FILED FUNCTIONALS BY FICTITIOUS SINGLE-LAYER DENSITY METHOD USING FFT[J];Journal of Changsha Communications University;1991-02
China Proceedings of conference Full-text Database 1 Hits
1 XU HO-ZE ZHANG CI-JUN (Institute of Geodesy and Geophysics, Chinese Academy of Sciences, Wuhan 430074, China);DEVELOPMENT OF THE STUDIES ON GEODETIC GRAVITY AND EARTH TIDES IN CHINA[A];[C];1997
【Co-references】
Chinese Journal Full-text Database 10 Hits
1 WU Xing1,2, ZHANG Chuan-ding1, ZHAO Dong-ming11. Institute of Surveying and Mapping,Information Engineering University,Zhengzhou 450052,China; 2. 63926 Troops, Beijing 100085,China;Generalized Torus Harmonic Analysis of Satellite Gravity Gradients Component[J];Acta Geodaetica et Cartographica Sinica;2009-02
2 LIU Xiaogang,WU Xiaoping,ZHAO Dongming,WU Xing Institute of Surveying and Mapping,Information Engineering University,Zhengzhou 450052,China;Non-singular Expression of the Disturbing Gravity Gradients[J];Acta Geodaetica et Cartographica Sinica;2010-05
3 WU Xing1,2,ZHANG Chuanding3,LIU Xiaogang3 1.Center for Engineering Design and Research under the Headquarters of General Equipment,Beijing 100028,China;2.Institute of Hydrographic Surveying and Charting;Tianjin 300061,China;3.Institute of Surveying and Mapping,Information Engineering University,Zhengzhou 450052,China;Least-squares Collocation Harmonic Analysis of the Radial Satellite Gravity Gradients[J];Acta Geodaetica et Cartographica Sinica;2010-05
4 ZOU Xiancai,LI Jiancheng,WANG Haihong,XU Xinyu School of Geodesy and Geomatics,Wuhan University,Wuhan 430079,China;Application of Parallel Computing with OpenMP in Data Processing for Satellite Gravity[J];Acta Geodaetica et Cartographica Sinica;2010-06
5 ZHANG Hao,CHEN Qiong(Institute of Surveying and Mapping,Information Engineering University,ZhengZhou 450052,China);Least Squares Collocation in Calculating Potential Coefficient with Satellite Gravity Gradiometry Data[J];Geomatics & Spatial Information Technology;2005-06
6 Liu Xiaogang1),Wu Xiaoping1),Wang Baojun1,2) and Pang Zhenxing3)1) Institute of Surveying and Mapping,Information and Engineering University,Zhengzhou 4500522) 96412 Troops,Baoji 7210123)Xi'an Research Institute of Surveying and Mapping,Xi'an 710054;STUDY ON GRIDDING METHODS OF SATELLITE GRAVITY GRADIENT DATA[J];Journal of Geodesy and Geodynamics;2010-06
7 Liu Xiaogang1),Li Shanshan1) and Wu Xing2,3)(1)Institute of Surveying and Mapping,Information and Engineering University,Zhengzhou 4500522)Center for Engineering Design and Research Under the Headquarters of General Equipment,Beijing 1000283)Institute of Hydrographic Survey and Charting,Tianjin 300061);DOWNWARD CONTINUATION OF SATELLITE GRAVITY GRADIENT DATA[J];Journal of Geodesy and Geodynamics;2011-01
8 Zhou Hao1),Zhong Bo1,2),Luo Zhicai1,2) and Zhang Kun1) 1)School of Geodesy and Geomatics,Wuhan University,Wuhan 430079 2)Key Lab.of Geospace Environment and Geodesy,Ministry of Education,Wuhan University,Wuhan 430079;APPLICATION OF PARALLEL ALGORITHMS BASED ON OpenMP TO SATELLITE GRAVITY FIELD RECOVERY[J];Journal of Geodesy and Geodynamics;2011-05
9 Nie Linjuan1,2),Shen Wenbin1),Wang Zhengtao1) and Jin Taoyong1)(1)School of Geodesy and Geomatics,Wuhan University,Wuhan 430079 2)Hubei Water Resources Technical College,Wuhan 430070);APPLICATIONS OF PARALLEL SOLUTIONS TECHNOLOGY IN SATELLITE GRAVITY MEASUREMENT[J];Journal of Geodesy and Geodynamics;2012-02
10 XU Tian-he1,GAN Yue-hong2(1 Xi'an Research Institute of Surveying and Mapping,Xi'an 710054,China;2 Nanchang Institute of Aeronautical Technology,Nanchang 330036,China);CHAMP Gravity field recovery based on the improved energy conservation approach[J];Progress in Geophysics;2008-01
【Secondary References】
Chinese Journal Full-text Database 3 Hits
1 Liu Xiaogang;Zhang Yaofeng;Li Yan;Xu Kang;Xi'an Research Institute of Surveying and Mapping;State Key Laboratory of Geo-information Engineering;Key Laboratory of Geo-space Environment and Geodesy of Ministry of Education,Wuhan University;School of Information Science and Engineering,Lanzhou University;The 61206 Troops of PLA;The Fourth Surveying and Mapping and Navigation Base;;Construction of nonsingular formulae of variance and covariance function of disturbing gravity gradient tensors[J];大地测量与地球动力学(英文版);2013-04
2 SU He-ming;LI Wen-yao;WANG Rong-hua;ZHOU Bo-fan;Faculty of Land Resources Engineering College,Kunming University of Science and Technology;;Some improvements on the formula for inclined steps gravity anomaly[J];Progress in Geophysics;2014-05
3 ZHOU Hao;LUO Zhicai;ZHONG Bo;LU Biao;School of Geodesy and Geomatics,Wuhan University;Key Lab of Geospace Environment and Geodesy,Ministry of Education,Wuhan University;;MPI Parallel Algorithm in Satellite Gravity Field Model Inversion on the Basis of Least Square Method[J];Acta Geodaetica et Cartographica Sinica;2015-08
【Secondary Citations】
Chinese Journal Full-text Database 5 Hits
1 Cheng Xuerong(Institute of Geodesy and Ceophysios Sinica Academia)A method is proposed to calculate 3 components of purterbed gravity by combiningthe terrestrial gravimetric data and sattlite altimetric ones,with the fictitious gravityanomalies and fictitious mass points as Intermediate mediums.Model computation of the above methods shows pretty good digital results.We findthat to get the same accuracy,the extent needed is much smaller when using our methodthan that when using Stokes' Fomula.For example,if we perform Stokes' integra-tion within concentric circles with radii of 4.4 km and 44 km respectively,we shallfind that the former is about1/25 of the latter; but the accuracy changes little whenusing our method in the above different areas.This shows its advantage.We concludethat it will be suitable for the calculation of 3 components of purterbed gravity.;A DISCRETE METHOD OF GEODETIC BOUNDARYVALUE PROBLEM[J];Acta Geodaetica Et Cartographic Sinica;1984-02
2 Shi Pan;COMBINED DETERMINATION OF THE EARTH'SDISTURBING POTENTIAL[J];Acta Geodaetica Et Cartographic Sinica;1984-04
3 Wu Xiaoping(Zhengzhou Institute of Surveying and Mapping);POINT-MASS MODEL OF LOCAL GRAVITY FIELD[J];Acta Geodaetica Et Cartographic Sinica;1984-04
4 Xia Zheren Li Fei(Institute of Geodesy and Ceophysics, Academia Sinica);THE MODERN THEORY AND DATA STRUCTUREIN THE APPROXIMATION OF THE EXTERNALGRAVITY FIELD OF THE EARTH[J];Acta Geodaetica Et Cartographic Sinica;1989-04
5 Qiu Weigen;Ning Jinsheng;The Determination of Geoid Variation by Repeated Leyelling and Gravimetry[J];Journal of Wuhan Technical University of Surveying and Mapping;1990-03
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