极轴式望远镜系统误差修正模型推导

System Error Correction Model for Equatorial Telescopes

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。

System error correction is critical to ensure shaft measurement accuracy of equatorial telescopes. Follow- ing analysis of the operation principle of angle measurement of equatorial telescopes, this paper proposes derivation of a system error correction model with Euler＇s transform method. The method is used to derive axial system error model of errors of angle measurement component, equatorial errors, latitude axis errors and collimation axis errors, and lens cone sinking error model. A system error correction model is given. While the system error correction mod- el is consistent with the model derived with the spherical trigonometry method, Euler^s transform method is only re- lated to coordinate rotation and matrix calculation, making it easier to understand and master.