为提高弹道机动的有效性或合理设计拦截制导律,需要定性分析突防弹与拦截弹间的法向过载关系、视线角速度变化规律、拦截弹道的稳定性等问题。对相对运动方程的相关参数进行合理简化后,推导了由于突防弹机动引起的拦截弹比例导引弹道的视线角速度及需用法向加速度的解析公式;在考虑拦截弹制导系统时间延迟时,分析了比例导引弹道的稳定性条件;针对突防弹进行正弦机动的弹道模型,进行了拦截仿真,验证了解析公式的合理性。

In order to improve maneuver trajectory or design intercept guidance law effectively, qualitative analysis on pursuit and evasion should be launched including the relationship of normal overload, line-of-sight (LOS) angular speed variation trend, and intercept trajectory stability.Based on the simplified engage model, analytic formulas of the LOS angle velocity and the need normal acceleration of the pursuing missile were presented.Considering guidance system time delay, the steady conditions of the proportional navigation trajectory were obtained.The simulation on the lateral sinusoidal maneuver was performed, which proved rationality of the analytic formulas.