Global Position System receivers and relativity (SuDoc C by Neil Ashby

By Neil Ashby

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Thus time tagging at the transmitters ,has the great advantage that 110 rotations are needed. 111 general the signal propagation times froni satellites to receiver will not be equalthey can vary roughly from 67 to 86 ms for a receiver on earth’s surface. This means that it will be necessary to have an estimate of the receiver velocity at the time tc in order that the different receiver positions at the different signal arrival times can be accounted for. We may also need the receiver’s acceleration.

B. ; Z. Altamimi, M. Feissel, P. Sillard, “Results and Analysis of the ITRF94,” IERS Technical Note 20, Central Bureau of IERS (March 1996), Observatoire de Paris, 61, avenue de l’observatoire, F-75014 PARIS, France. Appendix A. The Eccentricity Correction The epoch of the transmission event from each satellite must be corrected to account for variations in the proper time of each satellite clock due to orbital eccentricity. This aspect of system design of the GPS was fixed very early when satellites did not have much computing power.

14) Upon neglecting the gravitational frequency shifts, this form agrees with eq (1) in the main text to the required order of approximation. 14) are appropriate. First, all quantities, except the proper frequencies, are measured in ECI coordinates. Second, there are no terms of the form v . V / c 2 . Third, to obtain the ratio f / F or F / f correct to order 1/$, we must take care to expand the aberration factors ( 1 - N - v/c2)-' and (1 - N V/c2)-l to the required order. 14) to second order gives + --- +I- I .

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