| 四种改进积分法的低空扰动引力计算 |
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| 引用本文： | 刘长弘,吴晓平,王凌轩,吴亮,詹婉婵.四种改进积分法的低空扰动引力计算[J].测绘科学,2017,42(6). |
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| 作者姓名： | 刘长弘 吴晓平 王凌轩 吴亮 詹婉婵 |
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| 作者单位： | 1. 信息工程大学,郑州,470001;2. 75711部队,广州,510515 |
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| 摘 要： | 针对Stokes积分方法计算扰动引力中计算点从空中趋近地面时存在积分奇异和不连续的问题,该文提出了去中央奇异点法、奇异点积分值修正法、中央格网加密算法和改进积分式法4种改进Stokes积分的计算公式,并进行了实验计算。计算结果表明:近地空间范围内,4种改进算法都能在一定程度上改进原始积分的奇异性问题;相同条件下,奇异点积分值修正法和改进积分式法计算精度最高,适宜于低空计算;改进积分式法通过理论推导,得到了从球外部到球面统一、连续且无奇异的改进Stokes积分公式,理论严谨。
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| 关 键 词： | Stokes积分模型 低空扰动引力 奇异积分 离散化 EGM2008 |
The disturbing gravity assignment in low altitude based on four improved integral methods |
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| LIU Changhong,WU Xiaoping,WANG Lingxuan,WU Liang,ZHAN Wanchan.The disturbing gravity assignment in low altitude based on four improved integral methods[J].Science of Surveying and Mapping,2017,42(6). |
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| Authors: | LIU Changhong WU Xiaoping WANG Lingxuan WU Liang ZHAN Wanchan |
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| Abstract: | The Stokes integral model is used to calculate the problem of the integrals being singular and discontinuous when the calculation points are reaching the ground from the air in disturbing gravity.For this problem,four improved Stokes integral formula including the remove central singular point method,singularity integral value correction method,intensive central grid method and improved integral formula method respectively were put forward in this paper,and computational experiments was conducted.The results showed that in low-altitude airspace,all of the four improved methods could improve the singular integral problem to some extent;the singularity integral value correction method and the improved integral formula method had the highest calculation accuracy with identical data,which were suitable for calculating low altitude disturbing gravity;through theoretical derivation,improved integral formula method got a unified,continuous and non-singular stokes integral formula from the outside of the sphere to the surface,which had a rigorous theory. |
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| Keywords: | Stokes integral model low altitude disturbing gravity singular integral discretization EGM2008 |
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