地空导弹与空中目标遭遇点预测模型和算法

Forecast Model and Arithmetic on Hit Point of Ground-to-Air Missile and Aerial Target

导弹与目标的遭遇点坐标是地空导弹指挥控制系统进行射击指挥决策的关键依据之一,必须建立精准快速的预测模型或算法。针对非机动空气动力目标,研究了遭遇点预测的解析模型和迭代算法。解析模型中,将导弹引导过程近似为平行接近法,导弹匀速飞向瞬时遭遇点;迭代算法中,根据导弹常用的视线法和比例导引法解算导弹的运动学弹道,来预测瞬时遭遇点坐标。仿真分析表明,解析模型和迭代算法设计合理有效,前者简捷快速,适用于作战单元指挥控制系统;后者较为精准,实时性好,适用于火力单元指挥控制系统。两种方法都具有较强的工程应用价值,为指挥控制系统研制提供实用的模型技术支持。

Owing to the fact that the hit point coordinates of missile and target is one of the key bases for the Ground-to-Air Missile command and control system to make firing decisions, it’s essential to develop a rapid and accurate forecast model or arithmetic. Aiming at non-maneuvering aerodynamic target, an analytic forecast model and an iterative forecast arithmetic on the hit point were studied. In the analytic model, the guidance method of missile was regarded approximately as the parallel approaching method. The missile flied to the instantaneous hit point at the constant velocity. In the iterative arithmetic, the coordinates of the instantaneous hit point was forecast by solving the kinematic trajectory of missile according to line of sight（LOS） and proportional navigation（PN） method usually applied in Ground-to-Air missile. The simulation analysis indicates that both the analytic model and the iterative arithmetic are logical and effective. The former is brief and fast and applicable for combat unit command and control system. The latter is more precise and real-time and applicable for fire unit command and control system. Both are very valuable to engineering application and provide a practical model technique for the development of air defense command and control system.