正常重力场导出参数的计算新方法  

A New Method for Calculating Parameters Derived from Normal Gravity Field

作　　者：席梦寒 XI Menghan(Department of Navigation Engineering,Naval University of Engineering,Wuhan 430033,China)

机构地区：[1]海军工程大学导航工程系,湖北武汉430033

出　　处：《海洋测绘》2020年第4期17-21,共5页Hydrographic Surveying and Charting

基　　金：国家自然科学基金(41774021,41874091)。

摘　　要：针对以往计算正常重力场导出参数的方法中存在的公式复杂、计算过程繁琐等问题,利用水准椭球的基本参数,推导出第一偏心率平方的表达式,再利用第一偏心率,推导得到正常重力场导出参数的函数表达式。推导得到的正常重力场导出参数的函数表达式,相较传统计算方法更加简洁,可以由椭球的基本参数直接求得,计算效率也得到了提高。一方面为正常重力场导出参数的推导过程提供新的思路;另一方面提高了计算正常重力场导出参数的计算效率。In view of the complexity of formulas and calculation process in the previous methods for calculating the derived parameters of normal gravity field,in this paper,the expression of the first eccentricity square is derived from the basic parameters of the leveling ellipsoid,and then the function expression of the derived parameters of the normal gravity field is derived from the first eccentricity.The function expression of the derived parameters of the normal gravity field is more concise than the traditional calculation method,which can be directly obtained from the basic parameters of the ellipsoid,and the calculation efficiency has also been improved.On the one hand,it provides new ideas for the derivation of the parameters derived from the normal gravity field;on the other hand,it improves the calculation efficiency of calculating the parameters derived from the normal gravity field.

关 键 词：正常重力场导出参数 椭球第一偏心率 水准椭球 计算机代数系统 偶阶带谐系数 

分 类 号：P223.7[天文地球—大地测量学与测量工程]