Novel three-dimensional differential game and capture criteria for a bank-to-turn missile

The formulation and solution of a new pursuit-evasion differential game are presented in this paper. Considering the game as a “game of kind,” in Isaacs' terminology, capture criteria are established in terms of the game parameters for a faster bank-to-turn pursuer engaging a slower but more maneuverable evader in three-dimensional space. This paper covers the range of players' speed ratio for which the barrier surface is of the “classical” type, i.e., with tangential termination on the target set.