| 高斯积分在地球重力场数值计算中的应用 |
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| 引用本文： | 黄谟涛,翟国君,管铮.高斯积分在地球重力场数值计算中的应用[J].武汉大学学报(信息科学版),1993(3). |
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| 作者姓名： | 黄谟涛 翟国君 管铮 |
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| 作者单位： | 天津海洋测绘研究所，天津海洋测绘研究所，天津海洋测绘研究所 天津 300061，天津 300061，天津 300061 |
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| 摘 要： | 高程异常、垂线偏差及空中扰动引力矢量是大地测量和空间技术最常用的一组重力场参数,本文在分析了以上三种参数的计算误差源以后,详细论证了计算这些参数对积分面积元的不同要求。在此基础上,本文尝试将高斯积分应用于地球重力场数值计算中,试验结果表明,这样做不仅提高了计算速度和精度,而且能够在一定程度上克服重力场元数值积分的奇异性。
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| 关 键 词： | 高程异常 垂线偏差 扰动引力 高斯积分 |
Application of Gauss Integration in Numerical Computation of the Earth's Gravity Field |
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| Huang Motao Zhai Guojun Guan Zheng.Application of Gauss Integration in Numerical Computation of the Earth''''s Gravity Field[J].Geomatics and Information Science of Wuhan University,1993(3). |
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| Authors: | Huang Motao Zhai Guojun Guan Zheng |
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| Abstract: | Height anomaly, deflection of the vertical and disturbing gravity are a set of parameter used most often in geodesy and space research. After analyzing the source of the error caused in computing the parameters above, this paper demonstrates in detail the special requirements of the integration element on computing. Then the Gauss integration is used to compute gravimetric quantities. The computational results show that the new method not only provide an accuracy value and save the computational time, but also come over the singular integrations in numerical computation of the earth' gravity field in one way. |
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| Keywords: | height anomaly deflection of the vetical disturbing gravity Gauss integration |
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