第19卷第7期 2011年7月
1004-924X(2011)07-1524-07
文章编号
光学精密工程
Optics and Precision Engineering
Vol.19No.7
Jul.2011
水平式经纬仪指向误差的统一补偿技术
薛向尧1.2，高云国1*，韩光宇1,邵帅，乔健！
(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；
2.中国科学院研究生院，北京100039）
摘要：为修正水平式经纬仪的指向误差，提出了一种针对视轴指向的统一补偿模型。根据水平式经纬仪的光机结构，建立了照准坐标系和地平坐标系；通过两坐标系的几何关系得到目标在地平垒标系下的坐标方程，并对该方程进行全微分，得到地平坐标误差与指向误差的关系式。针对设备主要误差源之一（3轴误差)进行5次线性变换，推导出目标在地平坐标系中关于3轴误差的统一地平坐标误差方程；结合全微分所得关系式，求出指向误差关于3轴误差的统一补偿模型，将该模型与编码器误差模型线性叠加后获得水平式经纬仪指向误差的统一补偿模型。最后，对全天分布较为均匀的 46颗恒量进行观测，得到了观测误差的实验数据，利用最小二乘法对该模型进行拟合，得到模型中各待定系数。实验结
果表明，采用该模型进行修正后，设备总指向精度由修正前的40.1"提高到3.4"，满足系统总体提出的精度要求。关键调：水平式经纬仪；坐标变换；指向误差
中图分类号：V556
文献标识码：A
doi;10.3788/OPE. 20111907.1524
Totalcorrectionmethodofpointingerror
forlevelmountingtheodolite
XUE Xiang-yao'-?, GAO Yun-guo'', HAN Guang-yu',SHAO Shuai',QIAO Jian'
(l.ChangchunInstituteofOptic,FineMechanicsandPhysics Chinese Academyof Sciences,Changchun130033,China;
2.GraduateUniversity of ChineseAcademyof Sciences,Beijing100039,China)
Correspondingauthor,E-mail:gaoyg_gis@163.com.cn
Abstract: A total pointing error correction model was built to correct the pointing errors of a level mounting theodolite, Based on the opto-mechanical structure of the level mounting theodolite, a geo-detic coordinate system and a pointing coordinate system were built. Then,according to the location relationship between the two coordinate systems,the target coordinate in the geodetic coordinate sys-tem was expressed. After a total differential for the target coordinate, an equation was obtained to de scribe the relation between target coordinate error and longitude &. latitude errors of the level mount-ing theodolite. By considering the three shafting errors to be the major ones of the system, 5 linear co ordinate transformations were performed to deduce a total coordinate error equation for three shafting errors. Combined with the total differential equation,a unitive compensation model of pointing error on
收稿日期：2010-08-16；修订日期：2010-09-13
基金项目：中国科学院长春光学精密机械与物理研究所三期创新工程资助项目（No.061X20C060）