两种大旋转角坐标转换方法的比较研究  

Comparison of Two Coordinate Conversion Methods withLarge Rotation Angle

作　　者：李庆港 韩闯 王磊[1] LI Qinggang;HAN Chuang;WANG Lei(College of Geodesy and Geomatics,Shandong University of Science and Technology,Qingdao 266500,China)

机构地区：[1]山东科技大学测绘与空间信息学院,山东青岛266590

出　　处：《测绘与空间地理信息》2022年第4期215-218,222,共5页Geomatics & Spatial Information Technology

摘　　要：空间大旋转角的坐标转换,可以用基于罗德里格矩阵的7参数模型,也可以用基于方向余弦为参数的13参数模型来实现。本研究针对两种方法的原理,给出了两种模型的线性化结果,通过工程实例对两种坐标转换模型的解算过程和结果进行分析和比较。结果表明:两种坐标转换模型在大旋转角转换中方案均可行。以相同的多余观测数来求解参数,7参数模型比13参数模型占优;同时,7参数转换模型中初值较准确,迭代收敛快,效率高,可快速满足工程应用。The coordinate transformation of large rotation angle in space can be realized by 7-parameter model based on Rodrigues matrix or 13-parameter model based on directional cosine.According to the principle of the two methods,the linearization results of the two models are given,and the calculation process and results of the two coordinate transformation models are analyzed and compared through engineering examples.The results show that the two coordinate transformation models are feasible in large rotation angle transformation.The 7-parameter model is superior to the 13-parameter model in the same redundant observation number.At the same time,the initial value of the 7-parameter transformation model is more accurate,the iterative convergence is fast,and the efficiency is high,which can quickly meet the engineering application.

关 键 词：坐标转换 罗德里格矩阵 7参数模型 13参数模型 间接平差 

分 类 号：P226[天文地球—大地测量学与测量工程]