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为保证极轴式望远镜轴系测量精度,需要对其系统误差进行修正。在分析极轴式望远镜测角工作原理的基础上,提出了利用欧拉变换方法推导其系统误差修正模型。采用该方法详细推导出望远镜的测角元件误差、极轴误差、纬轴误差、视轴误差等轴系误差模型以及镜筒下沉误差模型,并给出了极轴式望远镜的系统误差修正模型。该误差修正模型与采用球面三角学的方法推导出来的系统误差修正模型完全一致,欧拉变换方法由于只涉及到坐标的旋转与矩阵的计算,更容易理解和掌握。
In order to ensure the measurement accuracy of polar axis telescope shaft, its system error needs to be corrected. Based on the analysis of working principle of polar angle telescope angle measurement, a system error correction model based on Euler transform is proposed. Using this method, the angular error, polar axis error, latitudinal axis error, axis error error model and lens barrel sinking error model of the telescope are deduced in detail. The system error correction model of the polar telescope . The error correction model is completely consistent with the system error correction model deduced by the method of spherical trigonometry. The Euler transform method is easier to understand and grasp because it only involves the rotation of the coordinate and the calculation of the matrix.