为构建不含辅助矢量的矢量形式弹丸六自由度弹道计算模型,在地面坐标系对表征弹轴空间姿态的单位矢量求导,将得到的导数关系式代入经过叉乘运算后的角动量方程,得出单位矢量二阶导数的矢量形式动力学表达式,从而建立起不含辅助矢量的矢量形式弹丸六自由度弹道计算模型。给出了模型的分量形式,讨论了地面坐标系弹道计算的初始条件。模型为矢量形式六自由度弹道计算提供了另一途径。

in order to construct a six degree of freedom trajectory model in vector form without auxiliary vector, took the derivative of the unit vector that represents the space attitude of the projectile, and put the derivative in the projectile angular momentum equation, which is alternated with cross product, the explicit representation of the kinetic equation for second derivation of the unit vector is obtained, then a six degree of freedom trajectory model without auxiliary vector is established. The components of the vector equations of the model are given, the initial conditions needed to calculate trajectory in the ground coordinate system are discussed. The model provide another way for the six degree of freedom trajectory calculation of the vector for.