罗德里格矩阵在坐标系转换中的应用

在大旋转角度的坐标系转换中,线性转换模型的旋转参数线性化复杂,计算量大,误差大。根据反对称矩阵和罗德里格矩阵的性质,推导了基于罗德里格矩阵的坐标系转换模型。该模型用反对称矩阵中的3个独立参数代替旋转矩阵中9个相关参数,避免了旋转参数的线性化。模型简单、计算简便,通过实验计算,精度较高。

Applications of Lodrigues matrix in coordinates transformation

In the large-angle coordinates conversion,the linearization of the conversion parameters is complicated,and the amount of computation is heavy,and the errors are large.The transformation model based on Lodrigues matrix was deducted,according to the dissymmetry matrix and the Lodrigues matrix.The model adopted three independent parameters in the dissymmetry matrix instead of the nine parameters in the transformation matrix,avoiding the linearization of the transformation parameters.The model was simple,the account was little,and the precision was very high according to the experiment.