地球椭球向径与法截线曲率半径差异分析  

Analysis of Differences Between Earth Ellipsoid Radius Vector and Radius of Curvature of Normal Section

作　　者：汪绍航 周汝健 牛亚飞[1] 曹雪宁 WANG Shaohang;ZHOU Rujian;NIU Yafei;CAO Xuening

机构地区：[1]中国人民解放军92678部队,天津300000 [2]中国人民解放军32734部队,天津300000

出　　处：《现代导航》2023年第3期190-195,共6页Modern Navigation

基　　金：国家自然科学基金(41876222,41971416,42074010);湖北省杰出青年科学基金(2019CFA086)。

摘　　要：高精度导航定位计算中地球椭球体上各半径间存在差异。借助计算机代数系统,对地球椭球向径与法截线曲率半径的变化规律及差异值进行了分析,结果表明:法截线曲率半径间随大地纬度B的增大,差异值不断减小,在极点处相等;在短距离平面计算中,可以近似认为方位角A=45°处曲率半径为平均曲率半径R_(a);地球椭球向径ρ和与常用曲率半径差异极值均在赤道或极点处。There exist the differences between the radii of the earth ellipsoid in high-precision navigation and positioning calculations.By using the computer algebraic system,the change and difference values between earth radius vector and radius of curvature of normal section are analyzed.The results show that as the latitude of the earth B increases,the difference values between the radius of curvature of the normal section continue to decrease and are equal at the poles;In short distance plane calculation,the radius of curvature at A=45°can be approximated regarded as the average radius of curvature R_(a);The extreme values of the difference between the earth radius vectorrand the commonly used radius of curvature are located at the equator or at the pole.

关 键 词：地球半径 地球椭球向径 法截线曲率半径 平均曲率半径 

分 类 号：P282[天文地球—地图制图学与地理信息工程]