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The fictitious compress recuperation method of determining the earth's external gravity field

SHEN Wen-bin,NING Jin-sheng(The Key Laboratory of Geospace Environment and Geodesy,Ministry of Education China,School of Geodesy and Geomatics,Wuhan University,Wuhan 430079,China)  
Since Shen (1998,2004a) put forward the fictitious compress recuperation of gravitational potential and proved the uniform convergence of the series solution (Shen 2004b),Shen et al. (2004) further put forward the fictitious compress recuperation of gravitational field. In the present paper,after pointing out that there exist drawbacks in Stokes' theory,Molodensky's theory,and Bjerhammar's theory,the fictitious compress recuperation of gravitational field will be investigated in a new view of point,and it will be proved that the series solution so determined is uniformly convergent. Furthermore,the fictitious compress recuperation of gravitational gradient field is put forward,and the height determination model is given.
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