Abstract:For long-distance interception of highspeed, large maneuvering target, not only the interception arc is longer, but also interception time is longer. Therefore the guidance law design cannot make all costs to follow the target, but also consider the energy management issues. By reducing the nonlinear kinematics problem’s order, using optimal control theory, and taking energy management into consideration, the optimal guidance law for high speed and maneuvering target was obtained, and the terminal collision angle constraint could be satisfied. By introducing the damping of the two forms of linearity and exponential, the sensitivity of the missile to the target maneuver changes with the distance of the target when it intercepts the high speed and high acceleration target, so as to achieve the goal of energy management. The performance of the guidance law was verified by two-dimensional nonlinear simulation.