弹道导弹弹头再入参数的解析解研究

Research on Analytic Solution for Warhead Reentry Parameter of Ballistic Missile

针对弹头再入运动的特点,建立了旋转圆球地球模型下弹道导弹弹头再入运动的简化方程,通过将大气密度、地球引力和弹道倾角分层计算,同时结合气动阻力系数的两种解析计算模型,推导出了计算弹头再入参数的解析解。仿真计算结果表明,解析解非常接近数值解,能够较真实的反映弹头再入运动的客观情况。

According to the character of warhead reentry motion,the simplified equation is established for warhead reentry motion of ballistic missile based on rotational spherosome earth model.Analytic solution for reentry parameter is given in the conditions of the stratification calculation of atmospheric density、gravity、trajectory tilt angle and two kinds of analytic expression on aerodynamic drag coefficient.Simulation results show that analytic solution is approach to numerical solution.Analytic solution can incarnate the real objectified instance of warhead reentry motion.