Qualitative study of a planar pursuit evasion game in the atmosphere

A coplanar pursuit-evasion game of kind in the atmosphere between a coasting pursuer and a maneuvering evader of constant speed is considered. The aerodynamic forces acting on the pursuer are modeled in two different forms: one for small and the other for large angles of attack. For both models the adjoint equations can be integrated analytically starting at the circular target set of the game. This allows one to determine the optimal strategies of the pursuer and the evader on the boundary of the capture set, called the barrier. On the barrier the existence of singular surfaces for the evader are observed. A representative example of barrier trajectories starting oh the dispersal surface is given.