| Moritz解析延拓解与Bjerhammar虚拟球面解的等价性 |
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| 引用本文： | 程芦颖,许厚泽.Moritz解析延拓解与Bjerhammar虚拟球面解的等价性[J].海洋测绘,2008,28(3):6-7. |
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| 作者姓名： | 程芦颖 许厚泽 |
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| 作者单位： | 1. 中国科学院,测量与地球物理研究所,湖北,武汉430077;西安测绘研究所,陕西,西安710054
2. 中国科学院,测量与地球物理研究所,湖北,武汉430077 |
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| 摘 要： | 利用调和函数的性质以及球谐函数展开理论，并根据实数域上函数的幂级数展开式证明了Moritz解析延拓解与Bjerhammar虚拟球面解的等价性，同时分析了两种解的内在区别。
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| 关 键 词： | 解析延拓解 虚拟球面解 调和函数 球谐函数 幂级数 |
| 文章编号： | 1671-3044(2008)03-0006-02 |
| 修稿时间： | 2008年1月3日 |
Equivalence Between Moritz' Analytical Continuation and Bjerhammar's Virtual Spherical Solution |
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| CHENG Lu-ying,XU Hou-ze.Equivalence Between Moritz'''' Analytical Continuation and Bjerhammar''''s Virtual Spherical Solution[J].Hydrographic Surveying and Charting,2008,28(3):6-7. |
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| Authors: | CHENG Lu-ying XU Hou-ze |
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| Institution: | CHENG Lu-ying ,XU Hou-ze(1 Institute of Geodesy and Geophysics, Chinese Academy of Sciences, Wuhan, Hubei ,430077 ; 2. Xi＇ an Research Institute of Surveying and Mapping, Xi＇ an, Shaanxi ,710054) |
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| Abstract: | Using the properties of the harmonic function and the theories of the expansion of the spherical harmonics,the equivalence between Moritz' analytical continuation and Bjerhammar's virtual spherical solution is proved according to the power series expanded form of the real number field function,the differences in meaning between the two solutions are analyzed. |
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| Keywords: | analytical continuation solution virtual spherical solution harmonic function spherical harmonics power series |
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