球谐函数法修正水平式经纬仪指向误差  

Correction of the Pointing Error for the Level Mounting Theodolite by the Spherical Function Method

作　　者：张文豹[1] 

机构地区：[1]中国科学院长春光学精密机械与物理研究所,吉林长春130033

出　　处：《光机电信息》2010年第9期48-51,共4页OME Information

摘　　要：为修正水平式经纬仪指向误差,采用球函数将定义在水平式经纬仪球坐标系上的函数展开成傅立叶级数的形式,并取到4阶带谐项,得出指向误差球谐函数模型。通过观测全天分布较为均匀的45颗恒星,得出经纬仪视轴指向在经角、纬角方向的误差离散值,采用最小二乘法拟合得到球谐函数模型中各待定系数。实验表明,球谐函数法可有效修正经纬仪的指向误差,经纬仪在经角、纬角方向的指向精度和总指向精度分别由修正前的40.91″、30.93″、51.29″提高到了修正后的2.59″、2.46″、3.57″。修正后,基本清除了设备系统误差。In order to correct the pointing error of level mounting theodolite,a pointing function,which definied in the spherical coordinate of level mounting theodolite,was expanded into series by spherical function,and cut into the fourth power polynomial,then the spherical function model of pointing error was obtained.45 stars scattered in sky space uniformly were selected to observe,through which the discrete value of 45 stars＇ pointing error were gained in longitude dimension and latitude dimension respectively.After least square fitting,the undetermined coefficients in the pointing error model were obtained.Experimental results showed that the pointing error of level mounting theodolite was corrected significantly by the spherical function method.The pointing accuracy in longitude dimension latitude dimension and the total pointing accuracy raised from 40.91″,30.93″,51.29″ before correction to 2.59″,2.46″,3.57″ after correction,indicating that most of system errors in theodolite were eliminated.

关 键 词：水平式经纬仪 球谐函数 指向误差 

分 类 号：TH761.1[机械工程—仪器科学与技术]