The expected performance of Gravity Probe B electrically suspended gyroscopes as differential accelerometers

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Gravitational Wave Detectors And Experiments, Gravitational Radiation Detectors, Mass Spectrometers, And Other Instrumentation And Techniques, Superconducting Quantum Interference Devices

Scientific paper

Four cryogenic gyroscopes on the Gravity Probe B satellite will be used to measure the precession of the local inertial reference frame with respect to a distant inertial reference frame. One of these four gyroscopes will serve as the drag-free sensor for the satellite. The other three gyroscopes, which are separated from each other by 8.25 cm, will be electrostatically supported by a digital control system. Although the gyroscopes and the electrostatic suspension system are designed to measure a precession as small as 0.1 mas/yr, any pair of these gyroscopes may also be used as a differential accelerometer. This paper analyzes the expected performance of these gyroscopes as differential accelerometers for accelerations in the frequency band from 2×10-3 to 2×10-2 Hz. The three contributions to the specific force on any one of the gyroscopes are the residual acceleration of the spacecraft, the specific forces acting between the gyroscope and the satellite, and the noise in the capacitance bridge which senses the position of the gyroscope relative to its housing. The dominant source of noise in this frequency band is found to be the quantization noise in the D/A converter used in digitally controlled electrostatic suspension system for the supported gyroscopes.

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