一种改进的预测示迹线求解方法

 本文在更一般的条件下导出了一种改进的预测示迹线原理公式。解算式的要点是通过逆时间方向积分Euler角运动方程,直接给出弹丸发射时刻与观测时刻机体坐标系之间的转移矩阵。利用简化的Euler角运动方程的解和近似解,从分析上和数值上讨论了本文原理式与传统原理式之间的差别。对于改进原理式的工程实现问题,作了简要的讨论。

AN IMPROVED SOLUTION TO THE PREDICTED TRACER LINE EQUATION

In this paper an improved principle formula for the predicted tracer line is presented. The main idea in this improved solutionis to transfer the attacker body coordinate frame at the moment that the bullet is fired to the one at the observing movement, by integrating Euler'singu-lar movement equation in a backward way. Under some reasonably simplified assumptions, explicit and approximate solutions to the equation are given and then used to compare the improved principle formula with the traditional one.It is shown that the latrr is a special case of the former while the algorithmic structures for both are simular.A numerical example is given to support the main results and a problem concerning the engineering implementation is also briefly discussed here.It is suggested that the traditional formula, at least in off-line accuracy analysis of airborne weapon system, should be replaced by the improved one.