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《Acta Geodaetica et Cartographica Sinica》 2012-05
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On Stokes' Approach for Determining Global Geoid

SHEN Wenbin1,2,3 1.School of Geodesy and Geomatics,Wuhan University,Wuhan 430079,China;2.Key Laboratory of Information Engineering in Surveying,Mapping and Remote Sensing,Wuhan University,Wuhan 430079,China;3.Key Laboratory of Geospace Environment and Geodesy,Ministry of Education,Wuhan University,Wuhan 430079,China  
Stokes' approach is one of the most frequently used approaches for determining the global geoid.However,besides the well-known drawbacks,there still exist theoretical difficulties: in case that the geoid is below the surface of a reference ellipsoid,the disturbing potential function is not defined and neither harmonic in the whole region outside the geoid.To take away these difficulties,we choose an inner ellipsoid enclosed by the geoid,with four fundamental parameters,with its center coinciding with that of the ellipsoid,and two of which,the geocentric constant and rotation rate,coincide with the corresponding parameters of the ellipsoid,and the other two parameters,semi-major axis and flattening,are chosen in such a way that the new normal gravity potential generated by the inner ellipsoid has the constant W0 on the surface of the ellipsoid,where W0 is the geopotential constant on the geoid.By this new formulation,the disturbing potential function is harmonic in the whole region outside the geoid,and the difficulties existing in the conventional Stokes' approach vanish.
【Fund】: 国家自然科学基金(40974015;41174011);; 国家自然基金创新群体项目(41021061);; 国家自然基金海外与港澳学者合作研究基金(41128003)
【CateGory Index】: P224.1
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【Citations】
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