| 由地球椭球大椭圆线得出的大地线初等函数方程 |
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| 引用本文： | 牛卓立.由地球椭球大椭圆线得出的大地线初等函数方程[J].勘察科学技术,2019(3):7-10. |
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| 作者姓名： | 牛卓立 |
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| 作者单位： | 中国有色金属工业西安勘察设计研究院有限公司 西安市 710054 |
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| 摘 要： | 在迄今为止的椭球大地测量学中,大地线是用微分方程表达的。该文在克雷洛定理的基础上,证明通过地心的平面对椭球体所截‘大圆弧’代表了一条大地线,进而得出大地线初等函数方程,并满足大地线的基本定义。
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| 关 键 词： | 大地线 初等函数 方程式 |
Elementary Function Equation of Geodesic Derived by Large Elliptic Line of Earth Ellipsoid |
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| Niu Zhuoli.Elementary Function Equation of Geodesic Derived by Large Elliptic Line of Earth Ellipsoid[J].Site Investigation Science and Technology,2019(3):7-10. |
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| Authors: | Niu Zhuoli |
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| Affiliation: | (Xi'an Engineering Investigation and Design Research Institute of China National Non-ferrous Metals Industry) |
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| Abstract: | In ellipsoidal geodesy up to now, the geodetic line is expressed by differential equation. Based on Craylor's theorem,this paper proves that the "big arc" cut by the plane of the earth's center represents a geodetic line, and then the elementary function equation of the geodetic line is obtained, which satisfies the basic definition of the geodetic line. |
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| Keywords: | geodesicline elementary function equation |
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