结构突变飞行器惯性张量矩阵的一种对称表示方法

A Symmetry Method of Inertial Tensor Matrix for Catastrophic Structure Flight Vehicle

用四元数和与四元数乘积的矩阵表示形式结构相似的矩阵 ,针对结构突变飞行器固连坐标系有平动和转动的情况 ,推导了惯性张量矩阵的变换关系。其优点是排除了复杂的三角函数计算 ,结构对称 ,易于在计算机上实现。

The conversion relationship of inertial tensor matrix under the conditions of gyration and aclinic shift of coordinate system for catastrophic structure vehicle is derived, and the same formal structure matrix is expressed by using matrix of quaternions product. The merits of this method are symmetric structurally and without complex computation of trigonometric function. The method can be achieved on computer easily.