Аннотация:Abstract: The Target-Attacker-Defender problem is considered. Assumed that all participantsmove in a horizontal plane with velocities of constant modulus. The Attacker uses the purechase method to pursue the Target. The Defender launched from the Target's wingman andthe role of Defender is to minimize the distance to the Attacker when the Attacker approachesthe Target at a given distance. The Defender's strategy is also a method of pure pursuit. Theangular velocity of rotation of the Target velocity vector considered as a control. The structureof the dynamic system allows to reduce it to a system of less dimension. In the reduced system,the angle between velocity vector and line-of-sight Target-Attacker is considered as anew control variable. Pontryagin maximum principle procedure allows to reduce the optimalcontrol problem a boundary-value problem (BVP) for a system of nonlinear differential equationsof the fourth order. The system of the BVP consists from the initial variables and doesnot includes co-state variables. For solving the BVP, the shooting method is applied. The resultsof solving the BVP for various values of parameters demonstrated.