大欧拉角的空间直角坐标转换方法探讨

Discussion on the Way of Space Right-Angle Coordinate Transform of the Big Euler Angle

首先指出建立使用大旋转角的空间直角坐标转换模型的必要性,接着推导出以罗德里格矩阵为旋转矩阵的大欧拉角空间直角坐标转换的数学模型,然后以布尔沙模型为例、以Visual C#．NET 2003编制了计算软件。该算法具有性能稳定、计算收敛速度快、精确度高、转换参数初始值可以为任意值的优点。

Firstly the necessity of building the model of space right-angle coordinate transform is pointed out. then the space right-angle coordinate transform mathematics model based on the big Euler angle and the rotation matrix expressed by Rodrigo matrix is deduced; finally the example of Bursa model is set, Visual CO. Net 2003 is applied to program the calculation. The space right-angle coordinate transform based on any big Euler angle can be implemented steadily through this model in a very high speed and in high accuracy, and initialization of the transform parameters can be any value.