一种空空导弹可攻击区快速算法

提出一种空空导弹可攻击区快速算法。该算法将空空导弹可攻击区的快速积分计算和可攻击区多项式拟合相结合,用可攻击区多项式拟合结果作为积分计算的初始值,进行可攻击区计算。计算结果表明:该方法大大提高了积分计算的速度和空空导弹可攻击区的精度。文中成果已成功应用于某重点型号火控系统空空导弹可攻击区计算中。

A Better Method for Computing Air-to-Air Missile Trajectory

Aim.Polynomial fitting method has been generally employed for computing the trajectory of air-to-air missile.It suffers from the following three shortcomings:(1) air-borne computer must store a large number of polynomial coefficients;(2) under certain conditions,its precision is not sufficiently high;(3) under certain conditions,the calculated results are not continuous.We now present what we believe to be a better method that can suppress these three shortcomings.In the full paper,we explain our method in detail;in this abstract,we just add some pertinent remarks to listing the two topics of explanation:(A) the polynomial fitting model of our algorithm;(B) our fast algorithm for calculating the trajectory of air-to-air missile;under topic A,we derive eqs.(1),(2)and(3) in the full paper;under topic B,we give 11 steps for implementing our fast algorithm;also under topic B,step 2 is particularly important because it enables our algorithm to start with an approximate initial value based on polynomial fitting that requires only a limited storage of polynomial fitting coefficients and is the basic reason why our algorithm is fast;still under topic B,we give eq.(4) needed by 3rd order Runge-Kutta numerical method.Finally we take as example the firing control system of the air-to-air missile of a certain fighter aircraft.Table 1 in the full paper gives the numerical results obtained with our method as compared with those obtained with traditional polynomial method.These results indicate preliminarily that the probability of success is(96.03%) for our method and only 74.56% by the traditional polynomial fitting method.