广域多项式在扰动引力场逼近中的应用

The Application and Analysis of Wide-Area Polynomial Approximation in Gravity Field Disturbance Fitting

利用广域多项式对某块区域扰动引力进行逼近计算时,需要用到与主域单元相接的24个次域单元节点值,当单元位于研究区域顶点等特殊位置时,不能利用所有次域单元节点,因而出现逼近精度降低的现象。针对此情况,比较了广域多项式与反距离加权两种方法的精度与效率,并提出改进,改善逼近效果。

Wide-area polynomial approximation can be used to fit the disturbing gravity of a given region.This can reach high accuracy with great efficiency.However,24 nodes＇ value of the vice domains,which are connected to main domain,must be used when we calculate with this method.If the main domain is located on particular places,such as the vertices of the area,not all the nodes＇ value of vice domains can be used.As a result,fitting accuracy is dragged down.This circumstance is researched in the paper,in which the accuracy and efficiency between wide-area polynomial approximation and inverse distance weighting are compared.Finally,an improved project is put forward,which made the fitting effect better.