MISSING RELATIVITY TERMS IN GPS

Steven D. Deines

Peer Reviewed

Abstract: The current GPS relativity corrections were derived by a committee of experts chosen by the Air Force. The original derivation assumed that the GPS reference frame is inertial, with its origin at the center of the earth. It also assumed that the user obtains inertial GPS coordinate time from the satellites. A new approach in relativity is taken to determine the relativity effects for both GPS satellites and GPS receivers. To the first-order approximation, there are no new relativity effects missing in the GPS algorithm if one converts all observations to the earth-centered inertial (ECI) frame and the GPS inertial coordinate time. However, there are some uncompensated effects required to make the complete transformation from the noninertial frame of a GPS receiver to the inertial frame of GPS. These effects and their magnitudes are examined in this paper.
Published in: NAVIGATION, Journal of the Institute of Navigation, Volume 39, Number 1
Pages: 111 - 132
Cite this article: Deines, Steven D., "MISSING RELATIVITY TERMS IN GPS", NAVIGATION, Journal of The Institute of Navigation, Vol. 39, No. 1, Spring 1992, pp. 111-132.
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