坐标变换在空间望远镜误差标定中的应用  

Calibrating tracing errors for space-used telescope by coordinate transfor

作　　者：崔凯[1] 刘朝晖[1] 李治国[1] 高雄[1] 谢友金[1] 王振宇[1] 

机构地区：[1]中国科学院西安光学精密机械研究所,陕西西安710119

出　　处：《红外与激光工程》2014年第B12期151-156,共6页Infrared and Laser Engineering

摘　　要：为满足空间望远镜地面测试与标定,提出了利用坐标变换原理实现室内动靶标检测架模拟空间望远镜跟踪卫星场景的计算模型,仿真结果与球面三角学计算一致。采用坐标变换方法推导了望远镜探测系统与望远镜回转中心不重合情况下,探测系统的跟踪误差与两者位置偏差的关系。设定靶标转速4（°）/s时仿真结果表明,竖直轴方向位置误差0.2m时,只引起望远镜俯仰角跟踪恒定偏差5.65874°,其余角度、角速度和角加速度的偏差均近似为0（数量级小于10^-12）;水平轴方向存在0.002 m的位置误差时,方位角跟踪角误差0.05678°~0.13925°,方位角速度和角加速度误差分别为0.00701（°）/s、0.00256（°）/s^2,耦合引起俯仰跟踪角度误差数量级10^-4,角速度和角加速度误差数量级10^-6;视轴方向的位置偏差对跟踪结果无影响。该结论可为空间望远镜检测与装调提供参考。For better testing and calibrating the space-used telescope, a novel calculating model was introduced to simulate tracing process of the satellite. The coordinate transform theory was used for the indoor rotating target, the result was coincident with the spherical trigonometry. A model was deduced to illustrate the relationship between the tracing errors and the position errors of detecting system and the telescope gyration centre. The result showed that, a position error of 0.2 m in the vertical axis direction simply causing a constant elevation angle tracing error of 5.658 74 °, without any influence on other tracing performance. An error of 0.002 m in the horizontal axis direction caused coupling tracing errors both in azimuth and elevation measurements, the azimuth angle tracing error ranged between 0.056 78 ° ~0.139 25 °, azimuth angular velocity error was 0.007 01 ° per second, the azimuth angular acceleration error was 0.002 56 degree per second square, while the elevation angle tracing error was about 10^-4order of magnitude, and the angular velocity and angular acceleration was about 10^-6order of magnitude. The tracing performance was independent of position error in the collimation axis direction. This conclusion provides reference for testing and assembling space-used telescope.

关 键 词：空间光电望远镜 坐标变换 位置误差 跟踪误差 标定 

分 类 号：TP7[自动化与计算机技术—检测技术与自动化装置]