Final answer:
Gyro stabilized compass systems maintain a constant direction of angular momentum even when subjected to forces and accelerations through the phenomenon of precession.
Step-by-step explanation:
Gyro stabilized compass systems such as RMI/HSI are designed to maintain a constant direction of angular momentum even when subjected to forces and accelerations. This is achieved through the phenomenon of precession. Precession is the change in the direction of the spin axis of a rotating object in response to an applied torque. In the case of gyroscopes, the torque caused by external forces and accelerations causes the spin axis to precess and maintain a constant direction of angular momentum.