Relativity Compensation for a Space-Based GPS Receiver

Steven D. Deines

Abstract:	Any space-based GPS receiver is accelerated by gravity and has significant velocities and, therefore, is subject to substantial relativity effects. Relativity effects are well known to cause a moving clock in an inertial frame to run slower than a stationary clock. Any acceleration causes a clock to run even slower. From the Principle of Equivalence, gravity acts like any nongravitational acceleration, and from the gravitational red shift experiments, it is known that ifferent altiludes cause clock rates to vary. The current GPS relativity model compensates only for. (1) velocity and weaker gravity effects on the GPS satellites, (2) the altitude changes of the GPS satellites within the orbit, and (3) Earth rotation effects during the tranmhicm interval at the GPS monitor stations - the Sagnac effect No documentation exists to show that any relativity compensations are included for the space-based GPS receiver. In this paper, a new relativity algorithm is derived which inch&s all ielativity 0 needed for the space-based receiver. The magnitude of these effects are in tens of kilometers for spaceborne receivers and tens of meters for high dynamic airborne receivers in extended flights.
Published in:	Proceedings of the 5th International Technical Meeting of the Satellite Division of The Institute of Navigation (ION GPS 1992) September 16 - 18, 1992 Albuquerque, NM
Pages:	1189 - 1195
Cite this article:	Deines, Steven D., "Relativity Compensation for a Space-Based GPS Receiver," Proceedings of the 5th International Technical Meeting of the Satellite Division of The Institute of Navigation (ION GPS 1992), Albuquerque, NM, September 1992, pp. 1189-1195.
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