| 均质椭球体的引力位以及调和延拓在边值问题中的应用 |
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| 引用本文： | 于锦海.均质椭球体的引力位以及调和延拓在边值问题中的应用[J].测绘学院学报,1998(2). |
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| 作者姓名： | 于锦海 |
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| 作者单位： | 解放军测绘学院!郑州450052 |
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| 基金项目： | 国家自然科学基金资助项目 !( No.492 74192 ) |
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| 摘 要： | 本文作者首次推导均质椭球体的内部和外部引力位的数学表达式 ,由此应用调和延拓的思想引入外大地水准面和外部位函数的概念 ;建立了关于外扰动位的边值问题 ,该问题的界面规则而且具有 O( T2 )的精度 ;作为一个整体 ,讨论了外正高的计算和将地面点的重力测量值在 O( T2 )精度下归算到外大地水准面的方法
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| 关 键 词： | 均质椭球体 调和函数 外大地水准面 外部位函数 外扰动位 边值问题 |
The Gravitational Potential of an Ellipsoid's Body with a Constant Density and Applications of Harmonic Extension in the Boundary Value Problem |
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| Yu Jinhai.The Gravitational Potential of an Ellipsoid's Body with a Constant Density and Applications of Harmonic Extension in the Boundary Value Problem[J].Journal of Institute of Surveying and Mapping,1998(2). |
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| Authors: | Yu Jinhai |
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| Abstract: | Analytical expression of an ellipsoid body's gravitation potential with constant density is derived and harmonic extension about gravitation potential of the earth is also discussed based on them. Introducing some new concepts such as ex geoid and gravith ex potential, a new type of boundary value problem is established. Apart from those, we also discuss computations of orthometric ex height and reduction of ex gravity on the earth's surface to the ex geoid. |
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| Keywords: | Ellipsoid body with constant mass density Harmonic extension Ex geoid Boundary value problem |
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