地球椭球向径与法截线曲率半径差异分析
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1.中国人民解放军92678部队;2.中国人民解放军部队92678部队;3.中国人民解放军32734部队

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椭球大地测量学计算机代数分析化


Analysis of Differences between Earth Ellipsoid Radius Vector and Radius of Curvature of Normal Section
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Computer algebra analysis on ellipsoidal geodesy

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    摘要:

    为直观反映高精度导航定位计算中地球椭球体上各半径间的差异,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处曲率半径为平均曲率半径;地球椭球向径和与常用曲率半径差异极值均在赤道或极点处。推导分析的各类地球椭球半径间差异值曲线,直观地显示了地球椭球向径与法截线曲率半径间的差异值,对导航定位计算中地球模型半径的选取带来的误差影响提供了理论与数值基础。

    Abstract:

    In order to intuitively reflect the differences between the radii of the earth ellipsoid in high-precision navigation and positioning calculations, analyze the change and difference values between earth radius vector and radius of curvature of normal section by using the computer algebraic system. The results show that as the latitude of the earth 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 can be approximated regarded as the average radius of curvature ; The extreme values of the difference between the earth radius vector and the commonly used radius of curvature are located at the equator or at the pole. The difference curves between the radii of various earth ellipsoid derived and analyzed intuitively display the difference values between the earth ellipsoid radius vector and the radius of curvature of the normal section, providing a theoretical and numerical basis for the error impact caused by the selection of the radius of the earth model in navigation and positioning calculations.

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汪绍航,周汝健,牛亚飞,曹雪宁.地球椭球向径与法截线曲率半径差异分析[J].现代导航,2023,14(3):

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  • 收稿日期:2023-03-20
  • 最后修改日期:2023-06-08
  • 录用日期:2024-03-06
  • 在线发布日期: 2024-03-13
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