A method guides an interceptor missile toward an accelerating target. The method sets up a line-of-sight between the interceptor and the target, and monitors the acceleration of the angle of the line-of-sight. The acceleration is multiplied by a gain factor dependent upon the range between the target and the interceptor, to generate a driving acceleration. The acceleration of the interceptor in a direction perpendicular to the line-of-sight is added to the driving acceleration, to generate pre-weighted acceleration. The pre-weighted acceleration is multiplied by a navigation factor to produce commanded interceptor acceleration.