由两个不相关位差确定的点位平面精度与应用  

Research and Application on the Plane Accuracy of a Point Based on Its Two Non-Relative Direct Derivations

作　　者：孙现申 SUN Xianshen(School of Architectural Engineering,Zhengzhou University of Industrial Technology,Zhengzhou 451150,China)

机构地区：[1]郑州工业应用技术学院建筑工程学院,河南郑州451150

出　　处：《测绘科学技术学报》2020年第3期221-225,共5页Journal of Geomatics Science and Technology

摘　　要：根据点的两个不相关位差,推导出点的误差曲线方程和相应的误差椭圆方程,通过验算得到误差椭圆的1对共轭直径。借助误差椭圆的外切平行四边形和1对共轭直径,可简易地手绘出它的图形。最后,将以上结论应用于前方交会法、边交会法、边角交会法定点误差分析,给出了3种定点方法简捷而全面的点位精度描述:两个不相关位差、误差椭圆的共轭半径以及点位中误差等。Based on two non-relative direct derivations of a point,its error curve equation and error ellipse equation are deduced in this paper.Two conjugate diameters of the error ellipse are found by test proof.With the circumscribed parallelogram and two conjugate diameters of the error ellipse,its graph can be easily sketched.Finally,three application examples are presented in which two non-relative direct derivations,two conjugate diameters of the error ellipse and the root mean square error of the point are totally and conveniently described in intersection,distance intersection and angular and distance intersection.

关 键 词：位差 误差曲线 误差椭圆 前方交会法 边交会法 边角交会法 

分 类 号：P207[天文地球—测绘科学与技术]