高空飞行器被动段运行轨迹精确预测方法研究

A Precise Flight Trajectory Predicting Approach for Altitude Vehicle at Unpowered Phase

高空飞行器被动段运动学状态方程是典型的非线性常微分方程,难以给出其解析解。为了精确预测飞行器被动段运行轨迹,目前常用的解决方法是给出其数值解。在建立飞行器运动学状态方程基础上,提出采用四阶龙格库塔法求解这一常微分方程组,给出了初值的选取方法。采用仿真试验对提出方法的可行性和有效性进行了验证,结论表明:龙格库塔法可以有效计算出飞行器运动学状态方程数值解,能够高精度地预测出飞行器的运行轨迹。

The movement state equations of altitude vehicle at unpowered phase is the typical nonlinear constant differential equations. To accurately calculate the flight trajectory,the usual method is to calculate the numerical value instead of its analytical value. Based on the analysis of forces acting on the flight vehicle,the Runge-Kutta approach has been put forw ard to calculate the equations,and the initial value selected method has also been presented. The feasibility and effectiveness of the suggested quality control scheme has been illustrated by the simulated example. The conclusion show s that the advanced method can predict the flight trajectory accurately.