确定地球外部重力场的虚拟压缩恢复法

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

自申文斌提出引力位虚拟压缩恢复法[1,2 ] 并证明了级数解的一致收敛性[3 ] 之后 ,宁津生和申文斌等又提出了引力场虚拟压缩恢复法[4] 本文在指出了Stokes理论、Molodenskii理论以及Bjerhammar理论所存在的缺陷或不足之后 ,概述了引力位虚拟压缩恢复法 ,用新的观点考察了引力场虚拟压缩恢复法并证明了由此得到的级数解是一致收敛的 ,提出了引力梯度场虚拟压缩恢复法 。

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.