利用测站点上的重力测量信息,根据Bruns公式研究了大地水准面高的变化特性,得出垂线偏差是大地水准面相对水准椭球面倾斜的线性改正,重力异常是大地水准面相对水准椭球面弯曲的线性改正,以及地形起伏效应构成大地水准面高的二阶变化等结论。在此基础上,提出了顾及测站点上重力场信息的大地水准面高的拟合方法,并分析了该方法相对于二次曲面函数拟合的优越性。
The variety characteristics of the geoidal height are analyzed based on the information of the geodetic gravity measurement on station points by Bruns formula. The conclusions drawn obtained that the vertical deflection is the line correction about the geoidal inclination, the gravity anomaly is the line correction about the geoidal bending; and the topographic effects are the second order correction about the geoidal height variety. On the basis of these clews. The method for fitting geoidal height is put forward regarding for the gravity field information on the stations, and the superiority is compared with the method of the second order surface fitting.