基于线性弹道模型的末段修正弹落点预测

针对末段修正弹在弹道末段快速预测落点的问题，提出一种将六自由度刚体外弹道模型线性化的方法，得到线性弹道方程组并求其解析解，结合剩余飞行弧长估算公式，推导出弹道落点快速预测解析公式。以六自由度弹道为基准，通过仿真分析了不同射角不同预测点下线性弹道模型预测法的预测精度和解算时间，结果表明该方法对偏流方向的落点预测误差小于8 m，解算速度相比三自由度数值积分落点预测法提高了一个数量级。该方法为弹载计算机进行实时快速弹道解算提供理论依据，对末段修正弹的工程应用具有参考价值。

Impact Point Prediction of Terminal Correction Projectile Based on Linear Trajectory Model

A method of linearizing the 6 degrees of freedom(DOF) rigid trajectory model is proposed for the rapid impact point prediction of terminal correction projectile in terminal trajectory. The linearized trajectory equations and the analytical solution are obtained, and The analytic formula for rapid impact point prediction is derived in combination with the remaining flight arc length estimation formula. With the reference of 6 DOF trajectory, the prediction accuracy and calculation time of this linear trajectory model prediction method are analyzed at different firing angles and prediction points through simulation. The results show that the impact point prediction error is less than 8 m in cross range direction, the solution speed is improved by an order of magnitude compared to 3DOF numerical integral impact point prediction method. The proposed method provides the basis for rapid ballistic calculation in real-time by onboard computer, and also provides a reference for the engineering application of terminal correction projectile.