| 分离系统差的地面网与卫星网之间转换的数学模型及其解算方法 |
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| 引用本文： | 吴生龙.分离系统差的地面网与卫星网之间转换的数学模型及其解算方法[J].测绘学院学报,1991(3). |
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| 作者姓名： | 吴生龙 |
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| 摘 要： | 本文分析了地面网所含系统差之后,指出只需要两个参数就可描述地面网的定向系统差。若分别考虑地面水平网的尺度参数K_L和高程网的尺度参数K_H,则地面网与卫星网间转换的数学模型中参数的个数为10个。若假定K_L=K_H,则参数需要9个。导出了含有9个和10个未知参数的模型。提出采用部分参数带权的相关平差法解决九参数和十参数模型的法方程式系数阵秩亏问题。最后,利用我国实际数据检核了这些模型。计算表明,这种方法能有效地将坐标系的定向参数和地面网的定向系统差参数分开。揭示了我国地面水平网的尺度参数与高程网的尺度参数不一致,并给出了它们的参考值。
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| 关 键 词： | 系统误差 地面网 卫星网 转换模型 |
Mathematical Models and Solution of Separating from Systematic Errors for the Combination of Terrestrial and Satellite Nets |
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| Wu ShengLong.Mathematical Models and Solution of Separating from Systematic Errors for the Combination of Terrestrial and Satellite Nets[J].Journal of Institute of Surveying and Mapping,1991(3). |
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| Authors: | Wu ShengLong |
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| Institution: | Wu ShengLong |
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| Abstract: | After analyzing the systematic errors pertaining to a terrestrial net, this author thinks that the number of the parameter only needs two for modelling orientational systematic errors in a terrestrial net. If the scale parameter K_L in a terrestrial horizontal net and the scale parameter K_H in a terrestrial vertical net are considered respectively, the number of parameters of a mathematical model of transformation between a terrestrial and a satellite nets needs ten. Assuming that K_L=K_H, the number needs nine.
Models of transformation which contain nine and ten unknown parameters between a terrestrial and a satellite nets are deduced. In order to solve the rank deficiency of the normal matrix of nineor ten-parameter model, the least squares collocation is used. Finally, these models are numerically examined in China, which shows that the suggested method can efficiently separate the rotation parameters from the misorientation parameters in the terrestrial net.
The Scale parameters K_L and K_H are different in the terrestrial net in China. Their reference values are calculated. |
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| Keywords: | System errors Terrestrial network Satellite network Eransformation model |
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