Contributions to the error analysis in the relativity gyroscope experiment

Various aspects of the error analysis in the relativity gyroscope experiment were examined. This experiment is designed to measure the relativistic precessions of a gyroscope in orbit around the Earth. A Kalman filter in its square root form is used to estimate the precision on the relativistic precessions at the end of 1 year. An analytical averaging technique was used. The aberration of starlight and the possibility of determination of the bending of starlight by the Sun by the Gyroscope experiment was examined. It is shown that it compares in precision with VLBI techniques. The dynamics of the gyroscope and the effects of elastic distortion due to centrifugal force are considered. When the gyroscope rotors are cooled through their superconducting transition temperature, the ambient magnetic field is trapped in the rotor. It is shown how the trapped flux signal at spin frequency can be used to calibrate the scale factor of the SQUID magnetometers.