正常重力场的确定以及相关的一个理论问题

给定参考椭球体的四个基本参数,椭球体产生的外部正常重力位场可利用传统方法确定。本文基于WGS84参考椭球的四个基本参数和压缩恢复法,确定了一个定义在半径为6000km内部球的外部正则调和的虚拟正常场。在mm级精度水平下,所确定的虚拟正常场在椭球体外部与真实正常场一致。基于虚拟正常场,可解决物理大地测量学中存在的一个无定义问题。

The normal field determination and a theoretical problem

Given four basic parameters of a reference ellipsoid,the normal potential field generated by the ellipsoid could be determined by using conventional method.In this paper,using four basic parameters of WGS84 reference ellipsoid and based on the fictitious compress recovery approach,a fictitious normal field is determined.Comparisons between the conventional field and the fictitious field are provided in the domain outside the ellipsoid.It is concluded that the fictitious normal field coincides with the real normal field in the domain outside the ellipsoid,under the millimeter-level accuracy requirement.With the aid of the fictitious normal field,a theoretical problem in physical geodesy,referred to as the no-definition problem,is solved.