Abstract: A torsional gyroscope is provided that includes: a pickup tine and a drive tine of piezoelectric material, pickup electrodes disposed along the pickup tine, drive electrodes disposed along the drive tine, and a drive mass. The drive tine has a first end attached to the pickup tine and is transverse to the drive tine. The drive mass is attached to a second end of the drive tine opposite the first end of the drive tine. An electric field applied to the drive electrodes induces a rotational oscillation of the drive tine causing the drive tine to rotate about the first axis, inducing the drive mass to rotate about the first axis. Angular rotation of the drive mass along a third axis induces a torque in the pickup tine that induces an electric field in the pickup tine that induces an electrical charge to build up in the pickup electrodes.

Abstract: A system for determining a combined velocity rotation compensation and sculling compensation in an inertial navigation system includes: gyroscopes configured to provide a measured angular rotation rate with components from three orthogonal axes; accelerometers configured to provide a measured specific force with components from three orthogonal axes; and a processor configured to calculate a first combined velocity rotation compensation and sculling compensation at a single computational rate, the processor configured to: calculate a first cross product of an instantaneous angular rotation rate and a change in the measured specific force during a first interval; and sum the first cross product with a second cross product of a fraction of the change in the specific force during the second interval and the change in the measured angular rate during the first interval; where the first and second intervals are each one cycle of the single computational rate.