| 正常重力平均值处地心纬度与偏心率的关系式 |
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| 引用本文： | 席梦寒,欧阳永忠.正常重力平均值处地心纬度与偏心率的关系式[J].大地测量与地球动力学,2021,41(2):192-195. |
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| 作者姓名： | 席梦寒 欧阳永忠 |
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| 作者单位： | 海军工程大学电气工程学院,武汉市解放大道717号,430033;南京信息工程大学遥感与测绘工程学院,南京市宁六路219号,210044 |
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| 摘 要： | 在计算机代数系统基础上，将正常重力公式进行级数展开，推导出正常重力平均值处地心纬度关于椭球第一偏心率的函数式，并考虑将公式推广至太阳系中的各行星，假定椭球第一偏心率为变量时推导出正常重力平均值处地心纬度关于椭球第一偏心率的函数式。
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| 关 键 词： | 惯性导航 正常重力平均值 地心纬度 椭球第一偏心率 |
The Expression of the Geocentric Latitude at the Average of Normal Gravity with Respect to Eccentricity |
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| XI Menghan,OUYANG Yongzhong.The Expression of the Geocentric Latitude at the Average of Normal Gravity with Respect to Eccentricity[J].Journal of Geodesy and Geodynamics,2021,41(2):192-195. |
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| Authors: | XI Menghan OUYANG Yongzhong |
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| Institution: | (Electrical Engineering College,Naval University of Engineering,717 Jiefang Road,Wuhan 430033,China;School of Remote Sensing and Geomatics Engineering,Nanjing University of Information Science and Technology,219 Ningliu Road,Nanjing 210044,China) |
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| Abstract: | Based on the computer algebraic system,we develop the normal gravity formula in series.Then,the function formula of the geocentric latitude at the average value of the normal gravity with respect to the first eccentricity of the ellipsoid is deduced.In addition,it is considered that the formula can be extended to the planets in the solar system;when the first eccentricity of the ellipsoid is assumed to be a variable,we deduce the function formula of the geocentric latitude at the average value of the normal gravity with respect to the first eccentricity of the ellipsoid. |
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| Keywords: | inertial navigation the average of normal gravity geocentric latitude the first eccentricity of the ellipsoid |
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