双经纬仪异面交会目标点的空间位置估计

针对双经纬仪异面交会中目标点并不一定正好在公垂线上的问题,提出了在公垂线附近的空间区域上估计目标点位置的方法。该空间区域为以公垂线为对角线,各边分别平行于双经纬仪测量坐标系三轴的长方体空间区域。在目标点位置估计时考虑到经纬仪高低角与水平角测角精度的不同,以及目标点与经纬仪之间距离对空间点坐标精度的影响。采用蒙特卡洛方法模拟结果表明:新方法的目标点空间位置估计精度不亚于传统公垂线法,在特定情况下甚至能提高5%以上。模拟结果验证了新方法的可行性和有效性。

Target Point Position Estimation for Double-theodolite Non-uniplanar Intersection

Aimed at the problem that the target point not just in the common vertical line for double-theodolite non-uniplanar intersection,a method of estimating the target point position nearby spatial region of the common perpendicular is presented. The spatial region is the cuboid spatial region that taking the common perpendicular as diagonal,and each side separately parallels with double-theodolite measurement coordinate system triaxiality. When estimated the target point position,in consideration of the difference of angular accuracy that theodolite azimuth angle and pitching angular, and in view of the distance between target point and theodolite influence on space point coordinates precision,the simulation result of adopting the Monte Carlo method shows that the spatial point position precision of the new method is not inferior to the traditional methods that estimate the object points position on the common perpendicular,even improved by above 5 % in a specific state. The results show that the new method is feasible and available.