| 球谐函数级数式的改化形式 |
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| 引用本文： | 刘缵武,陆仲连.球谐函数级数式的改化形式[J].测绘学院学报,1997(3). |
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| 作者姓名： | 刘缵武 陆仲连 |
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| 作者单位： | 郑州解放军测绘学院!郑州，450052，郑州解放军测绘学院!郑州，450052 |
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| 摘 要： | 首先将级数式中缔合勒让德函数的计算转化为一般勒让德函数的导数计算，并给出相应的递推公式；其次将球谐函数级数式转化为仅含带谐项的级数式，并给出相应系数的计算公式。经实例计算，用机时间节省约90％。这对于应用部门快速计算重力场的有关数据将十分有利。
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| 关 键 词： | 球谐函数级数式 改化形式 |
The Improvement on Spherical Harmonic Expansion |
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| Liu Zuanwu, Lu Zhonglian.The Improvement on Spherical Harmonic Expansion[J].Journal of Institute of Surveying and Mapping,1997(3). |
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| Authors: | Liu Zuanwu Lu Zhonglian |
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| Institution: | Liu Zuanwu; Lu Zhonglian |
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| Abstract: | In the study of the computation of spherical harmonic expansion of geopotential, we make a number of improvements on the expansion, and meantime give firstly a new expansion which only includes the zonal harmonics, and in which the time of computing gravity disturbances can be saved by about 90% in comparison with one of the origival expansion. |
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| Keywords: | Spherical harmonic expansion Improvement |
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