引用本文: 刘大杰, 刘经南. 卫星多普勒网与地面网联合平差的试验[J]. 武汉大学学报 ( 信息科学版), 1984, 9(2): 1-19.
Liu Dajie, Liu Jingnan. An Experiment for the Combined Adjustment of the Doppler Satellite and the Geodetic Networks[J]. Geomatics and Information Science of Wuhan University, 1984, 9(2): 1-19.
 Citation: Liu Dajie, Liu Jingnan. An Experiment for the Combined Adjustment of the Doppler Satellite and the Geodetic Networks[J]. Geomatics and Information Science of Wuhan University, 1984, 9(2): 1-19.

## An Experiment for the Combined Adjustment of the Doppler Satellite and the Geodetic Networks

• 摘要: 本文通过对卫星多普勒网与地面网联合平差的某些试验性计算,验证了联合平差中的一些理论问题,它们是:(1)不仅三种七参数模型(Bursa、МоАодедский和Veis模型)的参数之间存在着等价性,而且简化的具有四、五、六个参数МоАодедский的Bursa和模型的参数之间也存在着等价性。(2)对于某个特定的卫星网与地面网的联合平差,选择适当个数的转换参数将得到最佳的平差结果。一般来说,对于一个大范围的网,通常可采用七参数模型,而小范围的网应采用少于七个参数的简化模型。本文建议用线性假设检验的方法来选择最佳个数的转换参数。(3)在联合平差中,如果三个旋转参数(即欧拉角)附加有某些先验性质(如先验方差、先验期望),那么,平差后的三个平移参数的精度能够大大提高。但附加的先验性质必须经过检验,证明是与观测值及其精度相适应的,否则还会降低联合平差结果的精度。

Abstract: In this paper some theoritical problems in the combined adjustment of the Doppler satellite and the geodetic networks are tested and verified through some experimental computation.The conclusions arc summarized as follows:(1) There exists the equiva fence not only among the three models with seven transformation parameters(i.c.Bursa,Molodensky and Vcis models),but also among transformation parameters for the simplified Bursa and Molodensky models with four.five or six parameters.(2) For a combined adjustment of a specific satellite and geodetic network optimum adjustment results can be abtained through the selection of mathematical models with suitable number of transformation parameters.Generally speaking,for a network covering a rather large region,the models with seven parameters should be adopted,while for that covering a small region,simplified models with parameters less than seven should be adopted.The anthors propose a method using the linear test of hypothesis for the selection of suitable parameters for a specific network.(3) If in a combined adjustment some priori properties(such as a priori variance and a priori expectation) of the three rotation parameters(i.c.Euler's angles) are known,then it is possible to increase greatly accuracy of solutions for the three shift parameters.But in this case the known priori properties must be tested and verified to make sure that they are comparable with the observations and their accuracy.Otherwise,the accuracy of the combined adjustment might be decreased.

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