The optimization for the launch of antimissile shrapnel: The optimization of the angle of fire and the direction angle of antimissile shrapnel

The trajectory of incoming missile and shrapnel are analyzed to make sure that the incoming missile would be within the distribute range of bullets dispersed by the shrapnel. In the case of the center of bullet group hits the target, the miss distance is optimized with the angle of fire and direction angle as the optimization variables in MATLAB. An unconstrained optimization function `fminsearch' is used. The optimal angle of fire and the direction angle of antimissile shrapnel are solved. The numerical calculation shows that the optimal angle of fire Θ* and direction angle φ* vary periodically with the orientation angle of the launching of shrapnel and the object needed to be protected. When the distance of the launching of shrapnel and the object needed to be protected increases from 60 to 1000 meters, θ* and φ* increase from 17.5°to 22.5°, from 67.4°to 79.7° respectively. When the muzzle velocity increases from 160 to 260m/s, and φ* change from 19.3°to 16.7°, from 48.5°to 54.4 ° respectively. The optimal angle of fire, the direction angle and their situation of change can be analyzed in the mathematical model for optimization of shrapnel gunnery.