Optimal Two-impulse Reorientation of Spin-stabilized Asymmetric Spacecraft

Abstract

In this paper, optimal attitude reorientation problems of spin-stabilized asymmetric spacecraft by impulsive thrust are studied. The spacecraft attitude is represented by two set of Euler angles to easily consider the goal attitude in the inertial frame. Two thrust impulses that are necessary to achieve the goal attitude are numerically analyzed by deriving analytical equations of the attitude expressed by elliptic integrals and Jacobi elliptic functions. Finally, Pareto optimal solutions with respect to total input and maneuver time are derived with setting the precession angle as the variable parameter.