<p>This paper examines the rotational motion of an axi-symmetric charged spacecraft subjected to gyrostatic effects and environmental resistance. The spacecraft contains an internal spherical cavity containing highly viscous fluid, which generates reaction torques that influence the overall spacecraft rotational dynamics. We have analyzed the spacecraft’s rotation about a stationary point while immersed in a dissipative medium. The fundamental equations governing this motion are established, and a time-optimal control strategy is developed to achieve asymptotically stable solutions. The evolution of the nutation angle is derived through optimization principles and has been validated using two complementary approaches: the method of multiple scales (MSM) for analytical approximation and fourth-order Runge-Kutta (RK-4) method for numerical estimations. Also, we have presented a comprehensive comparison between controlled and uncontrolled system responses, demonstrating the effectiveness of active control versus passive damping mechanisms. Graphical representations illustrate solution behavior across various parameter configurations, revealing consistent decay patterns in the nutation angle that indicate system stabilization. Both analytical and computational results exhibit agreement in capturing the damping characteristics under variations in gyrostatic moment (GM), electromagnetic charge, medium resistance, and control parameters. The findings offer direct applicability to attitude management in spacecraft systems, particularly for communication satellites and astronomical observatories requiring sustained pointing accuracy despite internal fluid motion disturbances.</p>