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108   CHAPTER 5



           scale problems it is necessary to be able to measure   ends of baselines are determined from the signals
           across very large distances to very great accuracy. Ter-  received at the  instruments from several satellites.
           restrial methods are extremely time consuming on land,   The simultaneous observation of multiple satellites
           and impossible to use across major oceans. Since 1980,   makes extremely accurate measurements possible
           however, the measurement of very long baselines using   with small portable receivers. This is now the most

           extraterrestrial methods has become possible via the   efficient and accurate method of establishing geodetic
           application of space technology.             control on both local and regional surveys (e.g. Sec-
             Three independent methods of extraterrestrial sur-  tions 8.5.2, 10.4.3).
           veying are available. These are very long baseline inter-  Gordon & Stein (1992) summarized the early deter-
           ferometry, satellite laser ranging, and satellite radio   minations of relative plate motions by these methods.
           positioning. The most common and best known   Generally, plate velocities averaged over a few years
           example of the latter method is the Global Positioning   of observation agree remarkably well with those aver-
           System (GPS).                                aged over millions of years. The methods were fi rst
             The technique of very long baseline interferometry   applied to the measurement of the rate of movement
           (VLBI) makes use of the radio signals from extraga-  across the San Andreas Fault in California. Smith  et
           lactic radio sources or quasars (Niell  et al., 1979;   al. (1985), using SLR, reported that a 900 km baseline
           Carter & Robertson, 1986; Clark  et al., 1987). The   that crossed the fault at an angle of 25° had been
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           signal from a particular quasar is recorded simultane-  shortened at an average rate of 30 mm a . Lyzenga
           ously by two or more radio telescopes at the ends of   et al. (1986) have used VLBI to measure the length
           baselines which may be up to 10,000 km long. Because   of several baselines in the southwestern USA and have
           of their different locations on the Earth’s surface, the   found that over a period of 4 years movement on
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           signals received at the telescopes are delayed by differ-  the fault was 25 ±  4 mm a . These direct measure-
           ent times, the magnitude of the delays between two   ments of the rate of displacement across the San
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           stations being proportional to the distance between   Andreas Fault are lower than the 48–50 mm a  pre-
           them and the direction from which the signals are   dicted from global models of plate movements (DeMets
           coming. Typically, during a 24-hour experiment, 10–15   et al., 1990). However, during the period of observa-
           quasars are each observed 5–15 times. This scheme   tion, no major earthquakes occurred. Over longer
           provides estimates of baseline length that are accurate   time intervals, the discrete jumps in fault movement
           to about 20 mm (Lyzenga et al., 1986). The usefulness   associated with the elastic rebound mechanism of
           of this system has been greatly enhanced by the devel-  large earthquakes (Section 2.1.5) would contribute to
           opment of mobile radio telescopes that frees the tech-  the total displacement and provide a somewhat higher

           nique from the necessity of using fi xed  observatory   figure for the average rate of movement. Alternatively,

           installations.                               motion between the Pacific and North American plates
             The technique of satellite laser ranging (SLR) calcu-  may be occurring along other major faults located

           lates the distance to an orbiting artificial satellite or a   adjacent to the San Andreas Fault (Fig. 8.1, Section

           reflector on the Moon by measuring the two-way travel   8.5.2).

           time of a pulse of laser light reflected from the satellite   Tapley et al. (1985), using SLR, measured changes in
           (Cohen & Smith, 1985). The travel time is subsequently   length of four baselines between Australia and the

           converted to range using the speed of light. If two laser   North American and Pacific plates, and found that the
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           systems at different sites simultaneously track the same   rates differ by no more than 3 mm a  from average rates
           satellite, the relative location of the sites can be com-  over the last 2 Ma. Similarly Christodoulidis et al. (1985)
           puted by using a dynamic model of satellite motion, and   and Carter & Robertson (1986) measured the relative
           repeated measurements provide an accuracy of about   motion between pairs of plates and found a strong
           80 mm. Periodic repetition of the observations can then   correlation with the kinematic plate model of Minster
           be used to observe relative plate motions (Christodou-  & Jordan (1978). Herring  et al. (1986) made VLBI
           lidis et al., 1985).                         measurements between various telescopes in the USA
             The technique of satellite radio positioning makes   and Europe and determined that the present rate of
           use of radio interferometry from the GPS satellites   movement across the Atlantic Ocean is 19 ± 10 mm a .
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           (Dixon, 1991). It is a three-dimensional method by   This agrees well with the rate of 23 mm a  averaged
           which the relative positions of instruments at the   over the past 1 Ma.
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