Starlight Deflection and Parallax Effects in the Gravity Probe B Relativity Experiment Data Reduction

Physics

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Scientific paper

The Gravity Probe B (GP-B) experiment is designed to measure the relativistic drift of a gyroscope in a free fall on a polar orbit around the Earth as predicted by the general relativity (the geodetic and frame-dragging effects).. The GP-B Data Analysis includes processing of telemetry data from several physical instruments placed on the GP-B spacecraft (gyroscope/SQUID readout system, science telescope, GPS receiver, spacecraft's control system). In this paper we consider the effects the deflection of light from the Guide Star (GS) by the Sun and the GS parallax caused by the Earth's annual motion. To accurately determine the gyroscope's relativistic drift rate, these effects should be included in the data analysis. The purpose of this analysis is threefold: 1) to derive an exact mathematical model of the science signal that would include these effects; 2) to improve the accuracy of the relativistic drift estimation by using the a priori known magnitudes and time signatures of the deflection and parallax signals; 3) to show the feasibility of the independent determination of the starlight deflection and parallax by the GP-B science instrument. The latter is intended, in particular, to the enhancement of the validity of the GP-B experimental results. The appropriate dynamical model and filtering approach are presented, and the results of simulations exploiting it are given and discussed.

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