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6-capture 6-combat air combat Ames Research Center ANALYSIS OF COMBAT capture sets combat game combat problem combat terminates consider v's winning controls 44a cost func cost functionals defined draw ends in joint equation evasion event space example optimal trajectories feasible solutions Figure G int game theory games of combat games of survival Hamiltonian inequality initial Integrating 21 joint capture linear control constraint M. D. Ardema maneuver maximize minimizer and player Moffett Field nonunique offensive capabilities opponent's target optimal strategies ordinary combat ordinary differential equations outcomes Pachter and Getz player wins playing space plays 44b pursuer and evader pursuit-evasion game pursuit-evasion problems reference frame region u(6 Regions and optimal sets u(6 strategy selection t>uVv target set Technion terminal condition terminal set time-optimal to,xo to,xQ transversality conditions turret game two-target game u's target v's optimal controls v's winning 6-game win the game winning player