Abstract: A digital electronic control system is provided for tracking a target and for directing an aiming system such as a gun. The control system comprises digital circuitry for determining the aiming angle required to aim the gun directly at the target and for determining an aiming angle correction which provides for leading the target by an amount such that a projectile fired by the gun will strike the target. The control system further includes a pair of motors controlled by the digital circuitry, one of which positions the gun to lead the target by a calculated aiming angle correction and the other of which positions, in a generic sense, the telescope an angular amount equal to the aiming angle correction behind the gun. In a preferred embodiment, an input is received by the control system from a tracking system which is positioned along with the gun and which can include, for example, a telescope which has an independently positionable optical axis.