An analysis of a four state model for pursuit-evasion games

An analysis is given for a four state model useful in medium range air-combat analysis. The problem is formulated as a differential game of degree, with capture time as the performance index. The model is representative of a three-dimensional pursuit-evasion game between two aircraft at medium to large ranges. A complete and exact characterization of the optimal paths and controls is given for arbitrary aerodynamic and propulsion models.