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利用大地水准面模型计算垂线偏差的方法及精度分析
引用本文:李伟超,张兴福,陈智伟,崔家武.利用大地水准面模型计算垂线偏差的方法及精度分析[J].大地测量与地球动力学,2019,39(8):843-848.
作者姓名:李伟超  张兴福  陈智伟  崔家武
摘    要:根据大地水准面与垂线偏差的关系,设计合理的计算方案,给出利用大地水准面模型计算垂线偏差的简化公式,并通过模拟计算探讨大地水准面相对精度、取点间距和已知点选取及个数对计算结果的影响。利用GEOID12B模型分别计算GSVS2011、GSVS2014项目中各测站点和美国西部区域(40°~45°N,100°~105°W,分辨率为1′)的垂线偏差,并与GSVS项目垂线偏差实测值和DEFLEC12B模型值进行比较。结果表明,垂线偏差南北分量和东西分量的计算精度均优于±0.5″,说明利用相对精度为cm甚至亚cm级的大地水准面模型可获取较高精度的垂线偏差。

关 键 词:大地水准面模型  垂线偏差  简化公式  精度分析  

Method and Accuracy Analysis of Calculating Deflection of the Vertical Basedon Geoid Mode
LIWeichao,ZHANGXingfu,CHENZhiwei,CUIJiawu.Method and Accuracy Analysis of Calculating Deflection of the Vertical Basedon Geoid Mode[J].Journal of Geodesy and Geodynamics,2019,39(8):843-848.
Authors:LIWeichao  ZHANGXingfu  CHENZhiwei  CUIJiawu
Abstract:According to the relationship between geoid and deflection of the vertical,a simplified formula for calculating deflection of the vertical using geoid model is given by designing a reasonable calculation scheme.The influence of the relative accuracy of geoid model,the distance between two points,the selection of known points and the number of known points on the calculation results,are discussed by simulating calculation.Using the GEOID12B model,the deflection of the vertical of the stations in the GSVS2011 and GSVS2014 projects and the western region of the United States (40°~45°N,100°~105°W,resolution is 1') are calculated respectively. The calculated results are compared with the measured values of the GSVS projects and the DEFLEC12B model values.The results show that the calculation accuracy of the north-south component and the east-west component of the deflection of the vertical is better than ±0.5″. It is shown that the geoid models with relative accuracy of cm level or even sub cm level can obtain higher accuracy deflection of the vertical.
Keywords:geoid model  deflection of the vertical  simplified formula  accuracy analysis  
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