1. A guided missile system using Proportional Guidance (PROGUIDE), wherein a guidance law algorithm directs tactical weapons to intercept against non-maneuvering targets, comprising means for commanding the achievement of angular acceleration, with commanded angular acceleration proportional to the difference between scaled line-of-sight rate and a missile velocity vector's angular rate; and means comprising an additional term which is added to PROGUIDE to account for line-of-sight angular acceleration due to target maneuvering; whereby the guidance law is an optimal guidance law in that it is a solution of linear-quadratic regulator control problem and minimizes deviations from a collision triangle over an entire period of homing flight, thereby indirectly minimizing miss distance.