基于转镜跟踪目标的分析与计算

基于高速CCD相机主光轴的转镜弹道同步跟踪系统，研究了高速飞行弹丸飞行姿态和飞行速度的问题，利用转镜的反射原理和转镜运动规律，建立了转镜随弹丸运动的时空关系模型和转镜运动参数的数学模型，并推导转镜运动参数与弹丸飞行速度和弹道距转镜中心垂直高度之间的数学关系；在理论分析的基础上，用MATLAB分析了转镜视场内的弹道宽度随时间变化的规律以及转镜转角和角加速度随时间变化的规律，得到在某一时刻转镜视场的大小以及转镜参数的变化曲线；给出了转镜尺寸、扫描速率曲线和最大离散速度等主要参数的计算方法，分析了它们对整个跟踪系统的影响。针对系统设置参数为h=150 m, v=300 m/s时进行仿真，仿真结果表明本系统可实现对高速弹丸的同步跟踪。

Analysis and calculation of tracking target based on rotating mirror

Based on the rotating mirror ballistic synchronization tracking system of the high-speed CCD camera main axis, the flight attitude and speed of the high-speed flight projectile were studied, the time-space relation model of the rotating mirror moving with the projectile and math model of the mirror motion parameters were established by using the reflection principle and motion law of the rotating mirror, and the mathematics relationship among the rotating mirror motion parameters, the projectile flight speed and the vertical height between the trajectory and the center of rotating mirror was derived.Based on the theoretical analysis, the laws of ballistic width in the field of rotating mirror changing with time, as well as the rules of the rotation angle and angular acceleration of turned rotating mirror changing with time were analyzed by using MATLAB, the field size and the parameter changing curve of rotating mirror at a certain moment were obtained. In addition, the calculating methods for main parameters, such as mirror size, rating curve of scanning, maximum discrete speed, and etc, were provided, and the influences of the factors on the whole tracking system were analyzed. The simulation results show that the system can realize the synchronous tracking of high-speed projectile with the designed parameter h=150 m, v=300 m/s.