Capturability analysis of a three-dimensional guidance law with angular acceleration input

This paper presents the capturability analysis of a three-dimensional guidance law that provides a desired angular acceleration of the heading angle to a pursuer. The relative rotational motion between a pursuer and an evader is represented by an equation similar to the equation of motion for a spherical pendulum with a disturbance. A set of sufficient conditions for successful pursuit are derived, and it is proved that the conditions are satisfied by suitably choosing the gain parameters of the guidance law. For sufficiently large gains, a pursuer controlled by the guidance law catches a maneuvering evader while achieving motion camouflage.