In this paper, for the first time, the effect of centrifuge table rotation on the dynamic behavior of a two-dimensional (two degrees of freedom) base in tracking systems is investigated and analyzed. While most previous studies have primarily focused on the effects of linear acceleration or vibrations, the present research employs a dynamic modeling approach based on Lagrange’s formulation to demonstrate that the rotation of the centrifuge table can impose significant additional torques on the gimbal axes (Pitch and Yaw). To this end, the dynamic equations are derived for two key configurations: alignment and orthogonality of the Yaw axis relative to the centrifuge rotation axis. Additionally, the influence of the rotating system’s center of mass location is examined. The findings reveal that it is not solely the centrifugal acceleration, but the centrifuge table’s rotation itself that can independently generate detrimental torques. This phenomenon may lead to substantial errors in the estimation of the motor torque requirements, which have previously been overlooked in analytical studies