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Satellite Navigation   163

             the case, then even if the above ranges were computed from four different
             satellites, when the information was received all the times would be the
             same, i.e., tl = t2 = t3 = t4. In practice, another time correction (included in
             the navigation message) is incorporated to synchronize the transmitters on
             board the different satellites themselves to an absolute reference time.

             Errors and Accuracies

               The refraction-type errors described earlier affect all types of transmis-
             sions through the atmosphere and decrease the accuracy of  the ranging
             process as well. As with Transit, GPS satellites transmit on two different
             frequencies to compensate for ionospheric effects on the signals. These
             much higher frequencies (1.58 and 1.23 GHz) are also less affected by the
             troposphere and additionally allow a  much  higher bit  rate resulting in
             greater accuracies.
               No  estimated  position  or  track  and  speed  information  is  required
             because solution of the four range equations simultaneously gives a very
             accurate three-dimensional fix.  Satellite errors can be  minimized  with
             more accurate and stable oscillators, better geopotential models and more
             stable orbits, and updating of the navigation message more frequently.
               Table 7-1 compares the accuracy of some of the more common naviga-
             tion systems. TACAN (Tactical Air Navigation), Omega, and Loran are
             examples of existing ground-based radio navigation aids.

                                         Table 7-1
                       Accuracy of Some Common Navigational Systems

             ~~            ~~   ~
                              Position    Velocity
                             Accuracy    Accuracy
             System           (meters)    (m/sec)   Comments
             ~~
             TACAN              400        none     Line of sight air navigation.
             Omega             2,200       none     Worldwide radio navigation.
             Loran-C            180        none     Localized area (U.S. shore)
                                                      radio navigation.
             Transit            200        none     Worldwide, but up to 100 min.
                                                      between satellite passes.
             GPS                1.5"       0.1*     Global, 24-hr, all-weather
                                                      availability.
             *Accuracies only available to authorized (military) users. Public accuracies are appmximarely a
             magnitude less.
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