| 卫星测高问题的球谐级数解法 |
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| 引用本文： | 于锦海.卫星测高问题的球谐级数解法[J].测绘学院学报,2003,20(1):7-9. |
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| 作者姓名： | 于锦海 |
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| 作者单位： | 中国科学院测量与地球物理研究所 湖北武汉430077，信息工程大学理学院，河南郑州450052 |
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| 基金项目： | 人事部留学回国人员基金资助 |
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| 摘 要： | 研究了球界面下卫星测高问题的解法，利用有限逼近方法得到了下列结论：若陆地部分是球冠，则卫星测高问题的解可以转换成关于球谐级数位系统的线性方程组。同时证明了常用的Stokes问题、Dirichlet问题、Neumann问题可以看成卫星测高问题的特殊情况。
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| 关 键 词： | 卫星测高 球谐级数 二次泛函 有限逼近方法 数学模型 |
The Solution of Altimetry-Gravimetry Problem by Spherical Harmonic Series |
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| YU Jin,hai.The Solution of Altimetry-Gravimetry Problem by Spherical Harmonic Series[J].Journal of Institute of Surveying and Mapping,2003,20(1):7-9. |
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| Authors: | YU Jin hai |
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| Institution: | YU Jin hai 1,2 |
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| Abstract: | The solving method of altimetry gravimetry problem with spherical case is discussed in this paper. By finite approximation method, the following results are obtained: the solution can be transformed into a linear system of the coefficients of spherical harmonic series if the continent is considered as a spherical cap. Meanwhile, it is proved that typical Stokes BVP, Dirichlet BVP and Neumann BVP are all particular cases of the linear system. |
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| Keywords: | altimetry gravimetry problem spherical harmonic series second functional |
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