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Date: Tue, 11 Jan 2000 16:22:05 -0800 (PST)
From: Michael B Heflin <mbh@cobra.jpl.nasa.gov>
Message-Id: <200001120022.QAA03521@dunsinane.jpl.nasa.gov>
To: IGSREPORT@IGSCB.JPL.NASA.GOV
Subject: [IGSREPORT-6805] Wk 1040 JPL GNAAC Analysis Report
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******************************************************************************
IGS Electronic Report   11 Jan 16:22:06 PST 2000      Message Number 6805
******************************************************************************

Author:  M B Heflin

******************************************************************************
GNAAC COMPARISON FROM JPL FOR GPS WEEK 1040 DEC 12, 1999 - DEC 18, 1999
******************************************************************************

M B Heflin, J F Zumberge, D C Jefferson, M M Watkins, F H Webb

all at the Jet Propulsion Laboratory, California Institute of Technology,
Pasadena, CA  91109.

Solutions in SINEX format were obtained from COD, EMR, ESA, GFZ, JPL, NGS, and
SIO.  Each center was compared to each other center by estimating a 7-parameter
Helmert transformation to minimize the least-squares coordinate residuals.

The following table summarizes comparison results.  The North, East, and
Vertical WRMS values are given in mm for each pair.  The number of common sites
is given directly underneath the values for WRMS.  The number underneath each
center's name is the scale factor applied to the formal errors from that
center.  Transformation parameters for each pair are given at the end of the
report.

We also compute a free-network combination of solutions from all centers.  Each
solution is scaled and edited according to the results of pairwise comparisons.
Then all free-network solutions are rigorously combined using their full
covariance matrices.  Sites common to all solutions are used to compare
individual solutions with the combination and residuals are given in the first
row of the comparison table.

TABLE OF COMPARISON RESIDUALS (N E V in mm)
-------------------------------------------------------------------------------
     cod        emr        esa        gfz        jpl        ngs        sio
c+----------+----------+----------+----------+----------+----------+----------+
o| 1   2   8| 2   3   6| 4   3   9| 2   2   6| 1   2   5| 5   5  13| 2   2   6|
m|    11    |    11    |    11    |    11    |    11    |    11    |    11    |
b+----------+----------+----------+----------+----------+----------+----------+
     cod    | 5   4  11| 6   4  18| 4   3  13| 5   4  12| 8   7  15| 4   4   9|
    15.0    |    29    |    41    |    53    |    61    |    59    |    102    |
            +----------+----------+----------+----------+----------+----------+
                emr    | 5   5  10| 4   6   9| 3   5   7| 7  10  12| 4   5   9|
                5.0    |    24    |    25    |    27    |    30    |    39    |
                       +----------+----------+----------+----------+----------+
                           esa    | 7   5   9| 5   5  12| 7   6  18| 3   3  14|
                           8.0    |    35    |    34    |    45    |    50    |
                                  +----------+----------+----------+----------+
                                      gfz    | 3   2   8| 8   7  15| 4   4  10|
                                     14.0    |    48    |    48    |    66    |
                                             +----------+----------+----------+
                                                 jpl    | 6   7  12| 4   4   9|
                                                 4.0    |    48    |    73    |
                                                        +----------+----------+
                                                            ngs    | 7   7  15|
                                                           13.0    |    68    |
                                                                   +----------+
                                                                       sio
                                                                       3.0
-------------------------------------------------------------------------------

COD TO EMR TRANSFORMATION PARAMETERS
----------------------------------------
 CHI^2      =   .3427E+02
 DOF        =          80
 CHI^2/DOF  =         .43
 RX =  -.1347E-09  +-   .1912E-09  rad
 RY =  -.1823E-09  +-   .2009E-09  rad
 RZ =   .3935E-09  +-   .3502E-09  rad
 TX =   .4226E-02  +-   .1938E-02  m
 TY =   .7150E-02  +-   .1955E-02  m
 TZ =  -.1627E-01  +-   .1618E-02  m
 S  =   .2076E-09  +-   .4085E-09  parts
----------------------------------------

COD TO ESA TRANSFORMATION PARAMETERS
----------------------------------------
 CHI^2      =   .1196E+03
 DOF        =         116
 CHI^2/DOF  =        1.03
 RX =  -.1227E-09  +-   .1230E-09  rad
 RY =  -.4139E-09  +-   .1334E-09  rad
 RZ =  -.6155E-09  +-   .2245E-09  rad
 TX =   .7635E-02  +-   .1446E-02  m
 TY =  -.6155E-02  +-   .1468E-02  m
 TZ =  -.2006E-01  +-   .9139E-03  m
 S  =   .1486E-09  +-   .2747E-09  parts
----------------------------------------

COD TO GFZ TRANSFORMATION PARAMETERS
----------------------------------------
 CHI^2      =   .1561E+03
 DOF        =         152
 CHI^2/DOF  =        1.03
 RX =  -.5078E-10  +-   .7735E-10  rad
 RY =  -.9408E-10  +-   .8662E-10  rad
 RZ =  -.3741E-09  +-   .8224E-10  rad
 TX =  -.8001E-03  +-   .7725E-03  m
 TY =   .8669E-02  +-   .7925E-03  m
 TZ =  -.2012E-01  +-   .7134E-03  m
 S  =   .8509E-09  +-   .1760E-09  parts
----------------------------------------

COD TO JPL TRANSFORMATION PARAMETERS
----------------------------------------
 CHI^2      =   .1531E+03
 DOF        =         176
 CHI^2/DOF  =         .87
 RX =   .1348E-09  +-   .7778E-10  rad
 RY =   .1899E-09  +-   .7497E-10  rad
 RZ =  -.2815E-09  +-   .8710E-10  rad
 TX =  -.4424E-02  +-   .7798E-03  m
 TY =  -.8963E-02  +-   .9468E-03  m
 TZ =   .1909E-01  +-   .6352E-03  m
 S  =   .9337E-11  +-   .1787E-09  parts
----------------------------------------

COD TO NGS TRANSFORMATION PARAMETERS
----------------------------------------
 CHI^2      =   .1626E+03
 DOF        =         170
 CHI^2/DOF  =         .96
 RX =  -.2097E-09  +-   .7464E-10  rad
 RY =  -.1904E-08  +-   .9278E-10  rad
 RZ =   .2184E-09  +-   .1635E-09  rad
 TX =   .5832E-02  +-   .8764E-03  m
 TY =  -.1694E-01  +-   .8787E-03  m
 TZ =  -.1411E+00  +-   .6310E-03  m
 S  =   .6449E-09  +-   .1739E-09  parts
----------------------------------------

COD TO SIO TRANSFORMATION PARAMETERS
----------------------------------------
 CHI^2      =   .6962E+02
 DOF        =         299
 CHI^2/DOF  =         .23
 RX =   .7820E-09  +-   .1134E-09  rad
 RY =   .8446E-09  +-   .1080E-09  rad
 RZ =  -.1842E-08  +-   .1571E-09  rad
 TX =  -.4297E-02  +-   .9985E-03  m
 TY =   .1352E-01  +-   .1150E-02  m
 TZ =  -.7539E-01  +-   .8592E-03  m
 S  =  -.9342E-09  +-   .2123E-09  parts
----------------------------------------

EMR TO ESA TRANSFORMATION PARAMETERS
----------------------------------------
 CHI^2      =   .1924E+02
 DOF        =          65
 CHI^2/DOF  =         .30
 RX =   .2439E-10  +-   .2898E-09  rad
 RY =  -.7308E-10  +-   .3164E-09  rad
 RZ =  -.5688E-09  +-   .3822E-09  rad
 TX =   .3042E-02  +-   .2476E-02  m
 TY =  -.1188E-01  +-   .2408E-02  m
 TZ =  -.4909E-02  +-   .2145E-02  m
 S  =   .8160E-09  +-   .5411E-09  parts
----------------------------------------

EMR TO GFZ TRANSFORMATION PARAMETERS
----------------------------------------
 CHI^2      =   .1702E+02
 DOF        =          68
 CHI^2/DOF  =         .25
 RX =  -.1171E-09  +-   .1900E-09  rad
 RY =  -.3725E-10  +-   .1952E-09  rad
 RZ =  -.1644E-09  +-   .3112E-09  rad
 TX =  -.4614E-02  +-   .1736E-02  m
 TY =   .1474E-03  +-   .1879E-02  m
 TZ =  -.3556E-02  +-   .1577E-02  m
 S  =   .8318E-09  +-   .4059E-09  parts
----------------------------------------

EMR TO JPL TRANSFORMATION PARAMETERS
----------------------------------------
 CHI^2      =   .1311E+02
 DOF        =          74
 CHI^2/DOF  =         .18
 RX =   .2369E-12  +-   .2010E-09  rad
 RY =   .1799E-09  +-   .2097E-09  rad
 RZ =  -.5323E-09  +-   .2769E-09  rad
 TX =  -.7204E-02  +-   .1801E-02  m
 TY =  -.1685E-01  +-   .1862E-02  m
 TZ =   .3317E-01  +-   .1908E-02  m
 S  =   .4804E-11  +-   .4294E-09  parts
----------------------------------------

EMR TO NGS TRANSFORMATION PARAMETERS
----------------------------------------
 CHI^2      =   .3950E+02
 DOF        =          83
 CHI^2/DOF  =         .48
 RX =  -.3478E-09  +-   .1765E-09  rad
 RY =  -.1800E-08  +-   .1764E-09  rad
 RZ =  -.4077E-10  +-   .2853E-09  rad
 TX =   .4381E-02  +-   .1556E-02  m
 TY =  -.2240E-01  +-   .1563E-02  m
 TZ =  -.1253E+00  +-   .1450E-02  m
 S  =   .8971E-09  +-   .3323E-09  parts
----------------------------------------

EMR TO SIO TRANSFORMATION PARAMETERS
----------------------------------------
 CHI^2      =   .1976E+02
 DOF        =         110
 CHI^2/DOF  =         .18
 RX =   .7071E-09  +-   .1936E-09  rad
 RY =   .1114E-08  +-   .2030E-09  rad
 RZ =  -.1964E-08  +-   .2948E-09  rad
 TX =  -.7705E-02  +-   .1797E-02  m
 TY =   .7933E-02  +-   .1928E-02  m
 TZ =  -.6014E-01  +-   .1727E-02  m
 S  =  -.7616E-09  +-   .4296E-09  parts
----------------------------------------

ESA TO GFZ TRANSFORMATION PARAMETERS
----------------------------------------
 CHI^2      =   .8214E+02
 DOF        =          98
 CHI^2/DOF  =         .84
 RX =   .1401E-10  +-   .1111E-09  rad
 RY =  -.1111E-09  +-   .1235E-09  rad
 RZ =   .1432E-09  +-   .2018E-09  rad
 TX =  -.5597E-02  +-   .1406E-02  m
 TY =   .1531E-01  +-   .1413E-02  m
 TZ =  -.1477E-02  +-   .8763E-03  m
 S  =   .9199E-09  +-   .2881E-09  parts
----------------------------------------

ESA TO JPL TRANSFORMATION PARAMETERS
----------------------------------------
 CHI^2      =   .6842E+02
 DOF        =          95
 CHI^2/DOF  =         .72
 RX =   .1067E-09  +-   .1302E-09  rad
 RY =   .2232E-09  +-   .1343E-09  rad
 RZ =   .8662E-10  +-   .1823E-09  rad
 TX =  -.9645E-02  +-   .1337E-02  m
 TY =  -.3741E-02  +-   .1461E-02  m
 TZ =   .3788E-01  +-   .1170E-02  m
 S  =  -.7208E-09  +-   .3168E-09  parts
----------------------------------------

ESA TO NGS TRANSFORMATION PARAMETERS
----------------------------------------
 CHI^2      =   .8529E+02
 DOF        =         128
 CHI^2/DOF  =         .67
 RX =  -.1982E-09  +-   .1250E-09  rad
 RY =  -.1615E-08  +-   .1305E-09  rad
 RZ =   .7593E-09  +-   .1603E-09  rad
 TX =  -.1308E-02  +-   .9948E-03  m
 TY =  -.1118E-01  +-   .1102E-02  m
 TZ =  -.1199E+00  +-   .8385E-03  m
 S  =   .5404E-09  +-   .2067E-09  parts
----------------------------------------

ESA TO SIO TRANSFORMATION PARAMETERS
----------------------------------------
 CHI^2      =   .4139E+02
 DOF        =         143
 CHI^2/DOF  =         .29
 RX =   .9159E-09  +-   .1436E-09  rad
 RY =   .1105E-08  +-   .1495E-09  rad
 RZ =  -.1261E-08  +-   .2062E-09  rad
 TX =  -.1001E-01  +-   .1387E-02  m
 TY =   .2009E-01  +-   .1494E-02  m
 TZ =  -.5562E-01  +-   .1265E-02  m
 S  =  -.7415E-09  +-   .3320E-09  parts
----------------------------------------

GFZ TO JPL TRANSFORMATION PARAMETERS
----------------------------------------
 CHI^2      =   .4291E+02
 DOF        =         137
 CHI^2/DOF  =         .31
 RX =   .3994E-10  +-   .9524E-10  rad
 RY =   .3686E-09  +-   .9484E-10  rad
 RZ =   .5902E-10  +-   .9640E-10  rad
 TX =  -.3830E-02  +-   .8452E-03  m
 TY =  -.1870E-01  +-   .1042E-02  m
 TZ =   .3852E-01  +-   .9295E-03  m
 S  =  -.1079E-08  +-   .2219E-09  parts
----------------------------------------

GFZ TO NGS TRANSFORMATION PARAMETERS
----------------------------------------
 CHI^2      =   .1120E+03
 DOF        =         137
 CHI^2/DOF  =         .82
 RX =  -.3094E-09  +-   .7437E-10  rad
 RY =  -.1612E-08  +-   .7824E-10  rad
 RZ =   .6438E-09  +-   .1126E-09  rad
 TX =   .5042E-02  +-   .7679E-03  m
 TY =  -.2570E-01  +-   .8682E-03  m
 TZ =  -.1211E+00  +-   .7062E-03  m
 S  =  -.2207E-09  +-   .1882E-09  parts
----------------------------------------

GFZ TO SIO TRANSFORMATION PARAMETERS
----------------------------------------
 CHI^2      =   .4988E+02
 DOF        =         191
 CHI^2/DOF  =         .26
 RX =   .8219E-09  +-   .9967E-10  rad
 RY =   .1015E-08  +-   .1064E-09  rad
 RZ =  -.1461E-08  +-   .1548E-09  rad
 TX =  -.3097E-02  +-   .1074E-02  m
 TY =   .3992E-02  +-   .1187E-02  m
 TZ =  -.5502E-01  +-   .8652E-03  m
 S  =  -.1827E-08  +-   .2525E-09  parts
----------------------------------------

JPL TO NGS TRANSFORMATION PARAMETERS
----------------------------------------
 CHI^2      =   .9187E+02
 DOF        =         137
 CHI^2/DOF  =         .67
 RX =  -.3676E-09  +-   .8328E-10  rad
 RY =  -.1975E-08  +-   .7127E-10  rad
 RZ =   .5648E-09  +-   .1138E-09  rad
 TX =   .8766E-02  +-   .7621E-03  m
 TY =  -.7018E-02  +-   .1026E-02  m
 TZ =  -.1593E+00  +-   .7130E-03  m
 S  =   .8245E-09  +-   .2075E-09  parts
----------------------------------------

JPL TO SIO TRANSFORMATION PARAMETERS
----------------------------------------
 CHI^2      =   .4608E+02
 DOF        =         212
 CHI^2/DOF  =         .22
 RX =   .7297E-09  +-   .1040E-09  rad
 RY =   .7321E-09  +-   .1134E-09  rad
 RZ =  -.1533E-08  +-   .1389E-09  rad
 TX =   .6467E-03  +-   .1065E-02  m
 TY =   .2294E-01  +-   .1086E-02  m
 TZ =  -.9381E-01  +-   .9591E-03  m
 S  =  -.8161E-09  +-   .2401E-09  parts
----------------------------------------

NGS TO SIO TRANSFORMATION PARAMETERS
----------------------------------------
 CHI^2      =   .6548E+02
 DOF        =         197
 CHI^2/DOF  =         .33
 RX =   .9785E-09  +-   .1154E-09  rad
 RY =   .2850E-08  +-   .1247E-09  rad
 RZ =  -.1941E-08  +-   .1793E-09  rad
 TX =  -.9486E-02  +-   .1091E-02  m
 TY =   .3077E-01  +-   .1250E-02  m
 TZ =   .6473E-01  +-   .1018E-02  m
 S  =  -.1395E-08  +-   .2540E-09  parts
----------------------------------------
