垂线偏差对控制网点位精度的影响分析  

Analysis of the influence of vertical deflection on the position accuracy of control network

作　　者：杨浩 李宗春[1] 冉佳欢 刘忠贺 何华 YANG Hao;LI Zongchun;RAN Jiahuan;LIU Zhonghe;HE Hua(Information Engineering University,Zhengzhou 450001,China)

机构地区：[1]信息工程大学,郑州450001

出　　处：《测绘工程》2022年第6期54-59,67,共7页Engineering of Surveying and Mapping

基　　金：国家自然科学基金资助项目(41974216)。

摘　　要：为更好地掌握垂线偏差对控制网的影响,以全站仪观测值为研究对象,通过构建局部曲线球面坐标系,系统地分析垂线偏差对观测值及控制点精度的影响。首先,基于垂线偏差的定义,在测站处分别建立大地站心地平直角坐标系、天文站心地平直角坐标系以及局部曲线球面坐标系。然后,通过三者之间的坐标转换关系,推导出垂线偏差影响公式,可获得控制点坐标受垂线偏差的影响规律。最后,通过仿真试验,定量分析垂线偏差对全站仪观测值及控制网点位偏差的影响规律。试验结果表明,垂线偏差对角度观测值影响较大,进而影响控制点精度。To better understand the influence law of vertical deflection on a control network, by constructing the local curvilinear spherical coordinate frame, the effect of vertical deflection on the measured values and control point accuracy is analyzed systematically using the observations of the total station.First, the Cartesian coordinate system of geodetic station center, the Cartesian coordinate system of astronomical station center, and the local curvilinear spherical coordinate system at the station are established based on the definition of vertical deflection.Then, the vertical deflection influence formula on the observations of the total station is deduced via the relationships among the above three coordinate frames, and the influence law of the vertical deflection influence on the control point is obtained.Finally, the impact of vertical deviation on the total station observations and control point deviation is quantitatively analyzed using the simulation test.The result shows that the vertical deviation has a great influence on the angular observations, which further effects the accuracy of control points.

关 键 词：垂线偏差 坐标系转换 局部曲线球面坐标系 仿真试验 

分 类 号：P207[天文地球—测绘科学与技术]