We see from “Seek-Lock-Strike!” Again that given the missile’s position
where and are themselves functions of time
That is, let
We also have (see “Seek-Lock-Strike!”)
Substitute (2) into (1) yields
It follows that , the position of the missile satisfies the initial-value problem
To obtain the missile’s trajectory, we solve (4) numerically using the Runge-Kutta algorithm. It integrates (4) from to (see “Seek-Lock-Strike!”).
The missile strike is illustrated in Fig. 1 and 2.
The trajectories shown are much smoother than those in “Seek-Lock-Strike!” Animated.