一． 追踪模型

以(x , y)代表飞机的坐标，v代表飞机的速度；以（X ,Y）代表导弹的坐标，u代表导弹的速度。

由于导弹时刻指向飞机，故有

dY/dX=(y-Y)/(x-X)

记k=u/sqrt((y-Y)*(y-Y)+(x-X)*(x-X))

则有

dY/dt=k(y-Y) dX/dt=k(x-X)

故有叠代方程

Y=Y+k*(y-Y)*dt

X=X+k*(x-X)*dt (程序中以t代dt)

程序中第一个for循环代表发射导弹打飞机，第二个for代表飞机发现导弹后做正弦运动试图逃跑。

小结：

追踪模型中关键是利用叠代方程 Y=Y+k*(y-Y)*dt 确定追踪者的运动坐标，这样，不

X=X+k*(x-X)*dt

论被追踪者做何种运动，都可利用该叠代方程找出追踪者的运动轨迹（注意追踪者的速度应大于被追踪者的速度）。

-one. Track model (x, y) coordinates of the aircraft representatives, representatives v the speed of aircraft; A (X, Y), on behalf of the coordinates of missile, u representative of the speed of the missile. As the aircraft missile at times, it is dY/dX = (y-Y)/(x-X) recorded k = u/sqrt ((y-Y)* (y-Y) (x-x)* (x-X) ) have curves/dt = k (y-Y) dX/dt = k (x-X) there is an iterative equation Y Y = k* (y-Y)* dt X = X* k (x-x)* dt ( proceedings t substituting dt) procedures for the first cycle of a representative aircraft fired a missile, the second for representatives of aircraft missiles found after doing sinusoidal movement to try to escape. Summary : key tracking model is to use iterative equation Y Y = k* (y-Y)* dt tracers to determine the coordinates of movement, and X = X*