摘要
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.
出处
《测绘科学》
CSCD
2004年第2期37-40,共4页
Science of Surveying and Mapping
基金
国家自然科学基金资助项目 (4 0 374 0 0 4
4 0 0 74 0 0 5 )
实验室开放研究基金 (测绘基础研究 )资助项目 (0 3-0 4 - 13)
关键词
重力位
引力场
引力梯度场
虚拟压缩
geopotential
gravitational field
gravitational gradient field
fictitious compress recuperation