附合重力网的严密平差

ON THE ADJUSTMENT FOR AN ATTACHED GRAVIMETRIC NET

  • 摘要: 本文首先证明了传统的强制符合条件平差法已不适用于现代高精度附合重力网平差,而应根据相关分组平差原理将控制网起始数据作为具有先验精度的虚拟观测值与附合网观测值一起进行平差,其结果与对控制网和附合网实行不等精度一并平差等价.按长段差法组成相对观测方程能获得较高的重力值和仪器格值线性项求定精度.本文推导了有关数学模型,并通过算例对这种平差方法的结果和精度进行分析讨论.

     

    Abstract: The classical adjustment with compelled conditions should not be applied to a morden high precision attached gravimetric net. Based on the theory of relative adjustment,a rigorous method is suggested by the author. The mathematical model and example are given in this paper. It shows also that to establish the relative observation equation with longer gravity difference is rather better than with shorter ones.

     

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