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《Chinese Journal of Geophysics》 2004-01
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THE INTEGRAL SOLUTION OF THE DIRICHLET'S BOUNDARY VALUE PROBLEM ON THE ELLIPSOID INTERFACE WITH THE ACCURACY OF O(T~2)

YU Jin Hai Wuhan Institute of Geodesy and Geophysics, Chinese Academy of Sciences, Wuhan 430077, China Zhengzhou Institute of Surveying and Mapping, Zhengzhou 450052, China  
The Dirichlet's boundary value problem on the ellipsoid interface is studied in this paper. Under the accuracy of O(ε 4·T) , the integral solution of the problem is obtained, where ε 2 and T are the second eccentricity of the ellipsoid and the disturbing potential, respectively. The result is better than that of the spherical approximation. It provides a new approach to solve the boundary value problems in physical geodesy.
【Fund】: 人事部回国人员基金
【CateGory Index】: P22
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【References】
Chinese Journal Full-text Database 2 Hits
1 PENG Fu-Qing XIA Zhe-Ren Xi'an Institute of Surveying and Mapping, Xi'an 710054, China;ALGORITHMS FOR COMPUTING ULTRA-HIGH-DEGREE DISTURBING GEOPOTENTIAL ELEMENTS[J];Chinese Journal of Geophysics;2004-06
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【Co-citations】
Chinese Journal Full-text Database 10 Hits
1 ZHU Ming,ZHAO Dong-ming,LUO Dong-fang(Institute of Surveying and Mapping,Information Engineering University,Zhengzhou450052,China);Study on the MBVP Under the Circumstance of Calculus Variations[J];Engineering of Surveying and Mapping;2002-02
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3 Xia Zheren(Xi'an Research Institute of Surveging and Mapping);ON THE ELLIPSOIDALL CORRECTIONSIN SPACE-TIME CONCEPT[J];Acta Geodaetica Et Cartographic Sinica;1991-03
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【Co-references】
Chinese Journal Full-text Database 4 Hits
1 YU JIN HAI 1) ZHU ZHUO WEN 2) PENG FU QING 1) 1) Zhengzhou Institute of Surveying and Mapping,Zhengzhou 450052,China 2) Wuhan Scientific and Technological University of Surveying and Mapping,Wuhan 430070,China [;WAVELET ARITHMETIC OF g_1-TERM IN MOLODENSKY’S BOUNDARY VALUE PROBLEM[J];Chinese Journal of Geophysics;2001-01
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