拓展高原环境的航空炸弹弹道快速解算方法

Fast calculation method of aviation bomb trajectory adapted to plateau environment

为快速、精确地求解高原环境下的航空炸弹弹道,在经典弹道模型的基础上,面向高原环境提出一种基于改进Runge-Kutta的航空无控炸弹弹道解算(improved Runge-Kutta based uncontrolled bombs trajectory calculation,IRK-UBTC)方法。首先,针对炸弹下落过程中时刻变化的环境参数,提出了基于起飞点的空气比重函数估算方法。然后,引入战斗机所处环境的温度、湿度、纬度、科尔奥利力等信息对经典炸弹质心运动微分方程组进行重构。最后,在三阶Runge-Kutta算法的基础上,提出了带误差控制机制的微分方程组实时解算方法。实验结果表明,该方法在1.4 GHz主频的嵌入式计算机中的解算周期小于5 ms,且最大射程误差小于0.2%,能够被有效应用于高原地区航弹弹道的实时解算。

In order to solve the trajectory of aviation bombs in the plateau environment fast and accurately,based on the traditional trajectory model,an method based on improved Runge-Kutta based uncontrolled bombs trajectory calculation(IRK-UBTC)is proposed.Firstly,an estimation method of the air specific gravity function based on the take-off point is proposed considering the changing environmental parameters during the bomb’s falling process.Then,the temperature,humidity,latitude,Colorili force and other information of the fighter’s environment are introduced to the system of the traditional differential equations of the bomb’s center motion.Finally,based on the third-order Runge-Kutta algorithm,a real-time solution method for differential equations with error control mechanism is proposed.Experiment results show that the calculation period of the proposed method is less than 5 ms in an embedded computer with a main frequency of 1.4 GHz,and the maximum result error is less than 0.2%,which can be applied to real-time calculation of bomb trajectory in plateau areas effectively.