卫星网与地面网联合平差坐标转换模型的等价性

The Equivalence of Mathematical Models for Coordinate Systems Transformation in the Adjustment for the Combination of Satellite and Terrestrial Network

  • 摘要: 本文阐述了卫星网与地面网联合平差中Bursa模型所确定的参考椭球中心位置与Молоденский和Veis两个模型所确定的参考中心几何意义上的差别,导出了三个模型转换参数之间的变换矩阵,进而证明了以上三个模型在确定转换参数的联合平差中的等价性。指出三个模型方程状态上的差异对联合平差及坐标系统转换的最后结果和精度来说,并无丝毫影响。

     

    Abstract: In this paper the difference between the origin of the reference geodetic system determined by Bursa model and that of the reference coordinate system determined by Molodenskii or Veis model in the adjustment for the combination of satellite and terrestrial networks is explained in geometric sense.And the three"transformation matrices" between transformation paraments which are respectively determined by the above three models are derived,and they are shown to be regular.Therefore the equivalence of the above three models in combining adjustment used for the determination of the transformation paraments is proved.Finally,it is pointed out that although an illconditioned design matrix may be contained in Bursa model,the difference in condition of design matrices of the above three modus have on effect on the final results and accuracy of the combining adjustment and the transformation from one to another coordinate system.

     

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