中距空空导弹不可逃逸区工程应用解算方法

Engineering Application Calculation Method of Non-escape Zone for Medium Range Air-to-air Missile

针对传统空空导弹弹道模型精度不高、在工程中可用性不强的问题,提出了一种实用的解算方法。首先针对空空导弹的运动学与动力学特性,分别在水平面和铅垂面内建立了导弹运动方程,并依据比例导引法设计了导引律。其次,针对导弹攻击区问题,运用黄金分割法进行搜索,给出攻击区解算流程图;针对迎头、尾追态势,将弹目位置关系分为四类进行讨论分析,建立不可逃逸区计算模型,实现导弹发射后位置的实时解算,进而得到导弹的不可逃逸区。最后,通过仿真计算,并与传统方法进行对比,验证了该方法的有效性和实用性。

Aiming at the problems of low precision and low usability in engineering of traditional air-to-air missile trajectory model,a practical solution method is proposed. Firstly,aiming at the kinematics and dynamics characteristics of air-to-air missile,the motion equations of the missile are established in the horizontal plane and the vertical plane respectively,and the guidance law is designed according to the proportional guidance method. Secondly,aiming at the problem of missile attack area,the golden section method is used to search,and the flow chart of attack area solution is given. According to the situation of head-on and tail-on pursuit,the missile-target position relationship is divided into four categories for discussion and analysis respectively,and the calculation model of the non-escape zone is established to realize the real-time calculation of the missile’s position after launching. Thus the non-escape zone of the missile is odtained. Finally,through simulation and comparison with traditional methods,the effectiveness and practicability of the method are verified.