利用位移传感器测量望远镜主镜相对镜室的相对位置时，需要设计算法将传感器测得值解算为主镜的姿态和位置信息。本文对已有的算法进行了改进，从空间解析几何角度出发研究了主镜位置解算算法，并分析了传感器安装位置偏差对解算精度的影响，发现传感器安装径向尺寸误差对解算精度影响较小，而安装角度误差影响较大，并得到最佳的传感器安装角度为30°，从而得到最佳的传感器布局和解算方法。%When using displacement seneors to measure the relative position between telescope primary mirror and cell. Position resolving algorithm is needed to design to compute the telescope primary mirror’s position and attitude. In this article, the old algorithm was improved. The position resolving algorithm was studied from the way of space analytic geometry. The influence of fix position deviation was analyzed. The influence of radial position deviation is small. And the influence of angle deviation is large. The best mounting angle of position sensor was found to be 30 degree. And the best mounting position and resolving algorithm was got.
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