| O(T2)精度下椭球界面Dirichlet边值问题的积分解 |
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| 引用本文： | 于锦海.O(T2)精度下椭球界面Dirichlet边值问题的积分解[J].地球物理学报,2004,47(1):75-80. |
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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，武汉 430077 郑州测绘学院，郑州 450052 |
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| 摘 要： | 研究了边界是参考椭球面的Laplace方程Dirichlet边值问题的求解，在O(ε4·T)精 度下给出了参考椭球界面上扰动重力位Dirichlet外问题的积分解式. 该结果理论上优于目 前常用的球近似下的积分解式，从而为研究物理大地测量中边值问题的求解提供了新的依据
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| 关 键 词： | 参考椭球面 边值问题 积分解 椭球谐级数 |
| 文章编号： | 0001-5733(2004)01-0075-06 |
| 收稿时间： | 2002-05-13 |
| 修稿时间： | 2003-04-26 |
THE INTEGRAL SOLUTION OF THE DIRICHLET'S BOUNDARY VALUE PROBLEM ON THE ELLIPSOID INTERFACE WITH THE ACCURACY OF O(T2) |
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| YU Jin Hai Wuhan Institute of Geodesy and Geophysics,Chinese Academy of Sciences,Wuhan ,China Zhengzhou Institute of Surveying and Mapping,Zhengzhou ,China.THE INTEGRAL SOLUTION OF THE DIRICHLET''''S BOUNDARY VALUE PROBLEM ON THE ELLIPSOID INTERFACE WITH THE ACCURACY OF O(T2)[J].Chinese Journal of Geophysics,2004,47(1):75-80. |
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| Authors: | YU Jin Hai Wuhan Institute of Geodesy and Geophysics Chinese Academy of Sciences Wuhan China Zhengzhou Institute of Surveying and Mapping Zhengzhou China |
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| Institution: | Wuhan Institute of Geodesy and Geophysics, Chinese Academy of Sciences, Wuhan 430077, ChinaZhengzhou Institute of Surveying and Mapping, Zhengzhou 450052, China |
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| Abstract: | The Dirichlet's boundary value problem on the ellipsoid interface is studied in this paper. Under the accuracy of O(ε4·T), the integral solution of the problem is obtained, where ε2 and Ｔ are the second eccentricity of t he ellipsoid and the disturbing potential, respectively. The result is better th an that of the spherical approximation. It provides a new approach to solve the boundary value problems in physical geodesy |
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| Keywords: | Reference ellipsoid Boundary value problem Integral solution Ellipsoidal harmonic series |
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