基于矢量运算的三维真比例导引弹道仿真

The Simulation of Three-dimensional TPN Trajectory Based on Vector Operation

为了分析真比例导引(TPN)弹道特点,设计了一种基于矢量运算的三维弹道仿真方法。在视线转移平面内建立了相对运动坐标系,分析了弹目相对运动和视线转移的关系,在此基础上得到了真比例导引律的矢量导引模型,利用其推导出指令加速度的矢量方程。采用Matlab对舰空导弹在目标作匀速直线运动情况下的弹道进行了仿真,结果表明,所建模型比较符合实际情况,仿真方法切实有效,能够直观形象的显示弹道特性及其各参数的变化过程。

In order to analyze the characteristics of TPN trajectory, a method of three-dimensional trajectory simulation based on vector op- eration was designed. The relative movement coordinate was set up in the sight line shifting plane. The relationship between relative movement and sight line shifting was studied. Then vector model of TPN in three-dimensional space was demonstrated, after that vector equation of acceleration was derived consequently. Ship-to-air missile＇s trajectory was simulated in Matlab when the target was moving in a straight line at a constant speed. The result shows that the model meets the fact, the method works well and that it can express characteristics of trajectory and transformation of every parameter intuitively.