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Arithmetic and Characters Analysis of Terrain Effects for CM-order Precision Height Anomaly

ZHANG Chuan-yin~1,CHAO Ding-bo~2,DING Jian~1,WEN Han-jiang~1,CHANG Xiao-tao~1(1.Chinese Academy of Survey and Mapping,Beijing 100039,China;2.The Key Laboratory of Geo-Space Environment and Geodesy,Wuhan University,Wuhan 430079,China)  
On the basis of demand of cm-order precision quasi-geoid,first,this paper derives arithmetic formula of terrain effect of height anomaly,through farther decomposition Molodensky series solution.Then,this paper presents a suit of simple and applicable formula of Molodensky series solution for cm-order precision quasi-geoid,based on analysis of refined characters of terrain effects item,and which are test using instance.Last,author indicates that we must take into account of 2~(nd)-order Molodensky series solution in order to get cm-order precision quasi-geoid in hill and mountain zones of china.It is very difficult to ensure cm-order precision using linear Molodensky arithmetic, in great terrain obliquity zones of western or southwester China.So more appropriate theory is demanded for determination of cm-order precision geoid.
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