Analysis of Three-Dimensional Optimal Evasion with Linearized Kinematics

Three-dimensional optimal missile avoidance is analysed with a linearized kinematic model. The solution requires maximum load factor and the problem is reduced to optimal roll position control having two phases: (1) orientation of the lift vector into the optimal evasion plane, (2) rapid 180 roll meanuvers governed by a switch function. For circular missile vectograms the plane of optimal evasion is perpendicular to the line of sight. Evading from roll stabilized missiles of rectangular vectogram, further advantage can be taken maximizing the target-missile maneuver ratio. Bounded rollrate reduces the miss distance but does not affect the optimal evasive maneuver structure. (Author)