A method of fire control against aerial targets traveling towards an object of protection. A position of the object of protection is known. A position of the aerial target is measured. The position of the aerial target is estimated. A velocity of the aerial target is estimated. A model of a guidance law of the aerial target is applied. An acceleration of the aerial target sufficient to hit the object of protection is calculated. A future trajectory of the aerial target is predicted based on the position of the object of protection, the estimated position of the aerial target, the estimated velocity of the aerial target, and the calculated acceleration of the aerial target. Points of aim along the predicted future trajectory are calculated. A fire control system includes at least one sensor for measuring the position of the aerial target as a function of time.