THE EFFECT OF A FINITE ROLL RATE ON THE MISS-DISTANCE OF A BANK-TO-TURN MISSILE

We consider a three-dimensional pursuit-evasion situation where a high ly maneuverable evader, which we model as a ''pedestrian'' a la Isaacs , is engaged by a faster-pursuer. The pursuer has limited maneuverabil ity, that is, the pursuer has a minimal turning radius, and in order t o change the spatial direction of his velocity vector, he must first r e-align his thrust vector in a similar manner to a bank-to-turn missil e. The state space of the ensuing differential game is three-dimension al and its complexity is intermediate between Isaac's 1! classical '' Homicidal Chauffeur'' and ''Two Car'' differential games. This new DG is solved as a game of kind, and a capture criterion for a faster but less maneuverable pursuer is analytically established in terms of the game parameters.