The 'dynamic tuning' of a dynamically tuned gyroscope (DTG) refers to a clever gimbal configuration that balances the torques from the support flexures with dynamic spring torques created by gimbal 'flutter' while the gyro rotor spins. This configuration allows the gyro rotor to spin to a 'free' rotor in two axes. The dynamics of a free rotor are widely known and easily summarized in the right-hand rule for gyro precession and a simple second order system equation with a natural frequency, known as the nutation frequency, as a function of the angular momentum and transverse inertia. Not much more is needed for design of capture loops for the DTG, as long as the bandwidth of the capture loop does not approach the nutation frequency of the gyro. However, the complete dynamical equations of motion of the DTG include other parameters such as windage, mistuning and friction torques that must be considered when designing capture loops with higher than nominal bandwidths. These equations, which are well known and widely published, are discussed in regard to capture loop design. The application of active nutation damping in the capture loop compensation is outlined. Typically results are presented.© (1999) COPYRIGHT SPIE--The International Society for Optical Engineering. Downloading of the abstract is permitted for personal use only.