Subject: [IGSREPORT-152] orbit comparisons
From: Gerhard Beutler
Date: 22 FEB 1993 00:00:00

Message inbox:141 -  Unread
From:    Gerhard Beutler 
Subject: orbit comparisons
--------------------------

                                    RMS [meters]
                       *---------------------------------------------*    
                       * interval along vertical axis :  .25         *    
                       *---------------------------------------------*    
                                      WEEK 682                            
                                                                          
   1.25 I                                                                 
        I                       |                                         
day 7   I  |                 |  |                                         
        I  |  |  |           |  |           |                             
        I  |  |  |           |  |           |                             
   0.0  ------------------------------------------------------------------
                                                                          
   1.25 I                                                                 
        I  |                    |                                         
day 6   I  |                 |  |                                         
        I  |  |  |           |  |           |                             
        I  |  |  |           |  |           |                             
   0.0  ------------------------------------------------------------------
                                                                          
   1.25 I  |                                                              
        I  |                 |  |                                         
day 5   I  |  |  |           |  |                                         
        I  |  |  |           |  |           |                             
        I  |  |  |           |  |           |                             
   0.0  ------------------------------------------------------------------
                                                                          
   1.25 I                                                                 
        I  |                 |  |                                         
day 4   I  |                 |  |                                         
        I  |  |  |           |  |           |                             
        I  |  |  |           |  |           |                             
    0.0 ------------------------------------------------------------------
                                                                          
   1.25 I                                                                 
        I  |                 |  |                                         
day 3   I  |                 |  |                                         
        I  |  |  |           |  |           |                             
        I  |  |  |           |  |           |                             
    0.0 ------------------------------------------------------------------
                                                                          
   1.25 I                                                                 
        I                                                                 
day 2   I  |                 |  |                                         
        I  |     |           |  |           |                             
        I  |  |  |           |  |           |                             
    0.0 ------------------------------------------------------------------
                                                                          
   1.25 I                                                                 
        I  |                 |  |                                         
day 1   I  |  |  |           |  |                                         
        I  |  |  |           |  |           |                             
        I  |  |  |           |  |           |                             
    0.0 ------------------------------------------------------------------
           ^  ^  ^  ^  ^  ^  ^  ^  ^  ^  ^  ^  ^  ^  ^  ^  ^  ^  ^  ^  ^  
               cod                esa          emr        sio    gfz  jpl 
           ----------------  -------------  ----------  -------  ---- --- 
           e  e  s  g  j  u  e  s  g  j  u  s  g  j  u  g  j  u  j  u utx 
           s  m  i  f  p  t  m  i  f  p  t  i  f  p  t  f  p  t  p  t     
           a  r  o  z  l  x  r  o  z  l  x  o  z  l  x  z  l  x  l  x     

------------------------------------------------------------------------
------------------------------------------------------------------------

   (R + scale*I)*X1 + Translation --> X2
                                   |   1  R3 -R2 |
   I is 3x3 identity matrix      R=| -R3   1  R1 |
                                   |  R2 -R1   1 |
------------------------------------------------------------------------
ORBIT COMPARISON FOR DAY 1 OF GPS WEEK 682 (day 1 is Sunday)              
------------------------------------------------------------------------  
                                              Translations, RMS - meters  
MODIFIED JULIAN DATE      DAY   MONTH   YEAR  Rotations - mas             
       49018              31      1     1993  Scale - ppb                 
------------------------------------------------------------------------  
                                                                          
    DX    DY    DZ    RX    RY    RZ    SCALE   RMS                       
 0.026-0.125 0.082   0.1   0.8   4.1     -1.1  0.96  cod0682-->esa0682    
-0.024-0.015 0.013   0.3  -0.5   1.2      0.9  0.53  cod0682-->emr0682    
-0.012-0.034 0.079  -1.9   0.5  -1.3      0.5  0.54  cod0682-->sio0682    
                                                                          
-0.050 0.111-0.069   0.2  -1.2  -2.9      1.9  0.82  esa0682-->emr0682    
-0.055 0.087 0.014  -2.1  -0.1  -5.4      2.0  0.87  esa0682-->sio0682    
                                                                          
 0.013-0.030 0.083  -2.1   1.0  -2.5     -0.3  0.42  emr0682-->sio0682    

                                                                          
------------------------------------------------------------------------  
ORBIT COMPARISON FOR DAY 2 OF GPS WEEK 682 (day 1 is Sunday)              
------------------------------------------------------------------------  
                                              Translations, RMS - meters  
MODIFIED JULIAN DATE      DAY   MONTH   YEAR  Rotations - mas             
       49019               1      2     1993  Scale - ppb                 
------------------------------------------------------------------------  
                                                                          
    DX    DY    DZ    RX    RY    RZ    SCALE   RMS                       
-0.025-0.079 0.062  -0.6  -0.2   1.7     -0.6  0.62  cod0682-->esa0682    
-0.008-0.042 0.014   1.8  -1.3  -0.8      0.6  0.23  cod0682-->emr0682    
 0.022-0.025 0.059  -1.5  -1.2  -4.1     -0.2  0.33  cod0682-->sio0682    
                                                                          
 0.018 0.037-0.048   2.4  -1.2  -2.4      1.2  0.61  esa0682-->emr0682    
 0.050 0.034-0.006  -0.8  -1.0  -5.4      0.6  0.69  esa0682-->sio0682    
                                                                          
 0.023 0.017 0.043  -3.2   0.2  -3.2     -0.7  0.33  emr0682-->sio0682    

                                                                          
------------------------------------------------------------------------  
ORBIT COMPARISON FOR DAY 3 OF GPS WEEK 682 (day 1 is Sunday)              
------------------------------------------------------------------------  
                                              Translations, RMS - meters  
MODIFIED JULIAN DATE      DAY   MONTH   YEAR  Rotations - mas             
       49020               2      2     1993  Scale - ppb                 
------------------------------------------------------------------------  
                                                                          
    DX    DY    DZ    RX    RY    RZ    SCALE   RMS                       
-0.010-0.058-0.029   1.2   0.5   1.8     -0.4  0.84  cod0682-->esa0682    
 0.009-0.008-0.010   1.8  -1.3   0.4      0.7  0.25  cod0682-->emr0682    
 0.048-0.032 0.034  -0.3  -1.6  -1.6      0.2  0.38  cod0682-->sio0682    
                                                                          
 0.019 0.050 0.019   0.5  -1.8  -1.4      1.1  0.83  esa0682-->emr0682    
 0.062 0.015 0.065  -1.6  -2.2  -3.6      0.7  0.94  esa0682-->sio0682    
                                                                          
 0.034-0.025 0.044  -2.0  -0.3  -2.0     -0.4  0.35  emr0682-->sio0682    

                                                                          
------------------------------------------------------------------------  
ORBIT COMPARISON FOR DAY 4 OF GPS WEEK 682 (day 1 is Sunday)              
------------------------------------------------------------------------  
                                              Translations, RMS - meters  
MODIFIED JULIAN DATE      DAY   MONTH   YEAR  Rotations - mas             
       49021               3      2     1993  Scale - ppb                 
------------------------------------------------------------------------  
                                                                          
    DX    DY    DZ    RX    RY    RZ    SCALE   RMS                       
-0.023-0.045-0.001  -2.8  -0.1   2.0     -1.4  0.89  cod0682-->esa0682    
 0.029-0.024 0.023   1.8   0.1  -0.4      0.0  0.30  cod0682-->emr0682    
 0.016-0.056 0.018   1.3  -2.0  -0.3      0.3  0.40  cod0682-->sio0682    
                                                                          
 0.051 0.021 0.025   4.6   0.2  -2.3      1.3  0.94  esa0682-->emr0682    
 0.034-0.050 0.014   4.4  -1.8  -2.1      1.9  0.99  esa0682-->sio0682    
                                                                          
-0.019-0.036-0.003  -0.5  -2.1   0.2      0.3  0.40  emr0682-->sio0682    

                                                                          
------------------------------------------------------------------------  
ORBIT COMPARISON FOR DAY 5 OF GPS WEEK 682 (day 1 is Sunday)              
------------------------------------------------------------------------  
                                              Translations, RMS - meters  
MODIFIED JULIAN DATE      DAY   MONTH   YEAR  Rotations - mas             
       49022               4      2     1993  Scale - ppb                 
------------------------------------------------------------------------  
                                                                          
    DX    DY    DZ    RX    RY    RZ    SCALE   RMS                       
-0.012-0.054-0.108  -1.0   0.5   0.9      1.4  1.03  cod0682-->esa0682    
-0.006-0.040-0.027   1.8  -0.3   0.1      1.1  0.58  cod0682-->emr0682    
 0.036-0.066 0.069   0.2  -0.5  -0.6      0.9  0.70  cod0682-->sio0682    
                                                                          
 0.006 0.014 0.081   2.8  -0.7  -0.8     -0.2  0.84  esa0682-->emr0682    
 0.048-0.026 0.193   1.3  -1.0  -1.5     -0.6  0.93  esa0682-->sio0682    
                                                                          
 0.043-0.028 0.093  -1.6  -0.3  -0.5     -0.3  0.47  emr0682-->sio0682    

                                                                          
------------------------------------------------------------------------  
ORBIT COMPARISON FOR DAY 6 OF GPS WEEK 682 (day 1 is Sunday)              
------------------------------------------------------------------------  
                                              Translations, RMS - meters  
MODIFIED JULIAN DATE      DAY   MONTH   YEAR  Rotations - mas             
       49023               5      2     1993  Scale - ppb                 
------------------------------------------------------------------------  
                                                                          
    DX    DY    DZ    RX    RY    RZ    SCALE   RMS                       
-0.035-0.026-0.056  -2.6   0.2   2.0     -0.2  0.79  cod0682-->esa0682    
 0.017-0.011 0.018   1.1  -0.3   0.2      0.0  0.35  cod0682-->emr0682    
 0.024-0.033 0.056   0.1   1.4  -0.3     -0.2  0.39  cod0682-->sio0682    
                                                                          
 0.052 0.015 0.074   3.7  -0.5  -1.8      0.2  0.73  esa0682-->emr0682    
 0.048-0.021 0.118   2.8   1.4  -2.1      0.3  0.75  esa0682-->sio0682    
                                                                          
 0.008-0.024 0.030  -1.0   1.6  -0.3     -0.4  0.38  emr0682-->sio0682    

                                                                          
------------------------------------------------------------------------  
ORBIT COMPARISON FOR DAY 7 OF GPS WEEK 682 (day 1 is Sunday)              
------------------------------------------------------------------------  
                                              Translations, RMS - meters  
MODIFIED JULIAN DATE      DAY   MONTH   YEAR  Rotations - mas             
       49024               6      2     1993  Scale - ppb                 
------------------------------------------------------------------------  
                                                                          
    DX    DY    DZ    RX    RY    RZ    SCALE   RMS                       
-0.129-0.075-0.023  -3.7   1.1   2.2      0.1  0.72  cod0682-->esa0682    
-0.003 0.011-0.011   1.4  -0.3  -0.7      0.5  0.30  cod0682-->emr0682    
 0.046-0.027 0.059  -0.1   2.2  -1.2      0.0  0.37  cod0682-->sio0682    
                                                                          
 0.125 0.086 0.012   5.1  -1.4  -3.0      0.4  0.73  esa0682-->emr0682    
 0.183 0.034 0.090   3.8   1.2  -3.4      0.1  0.77  esa0682-->sio0682    
                                                                          
 0.047-0.033 0.078  -1.5   2.5  -0.4     -0.6  0.33  emr0682-->sio0682    

                                                                          
------------------------------------------------------------------------  
                                    RMS [meters]                          
                       *---------------------------------------------*    
                       * interval along vertical axis :  .15         *    
                       *---------------------------------------------*    
                                      WEEK 681                            
                                                                          
    .75 I  |                    |                                         
        I  |                 |  |     |                                   
day 7   I  |  |  |     |     |  |     |     |              |              
        I  |  |  |     |     |  |     |     |     |        |              
        I  |  |  |     |     |  |     |     |     |        |              
   0.0  ------------------------------------------------------------------
                                                                          
    .75 I  |                 |  |     |                                   
        I  |                 |  |     |                                   
day 6   I  |     |           |  |     |     |              |              
        I  |  |  |     |     |  |     |     |     |        |              
        I  |  |  |     |     |  |     |     |     |        |              
   0.0  ------------------------------------------------------------------
                                                                          
    .75 I  |                    |     |                                   
        I  |                 |  |     |                                   
day 5   I  |  |  |           |  |     |     |              |              
        I  |  |  |     |     |  |     |     |     |        |              
        I  |  |  |     |     |  |     |     |     |        |              
   0.0  ------------------------------------------------------------------
                                                                          
    .75 I  |                 |  |     |                                   
        I  |                 |  |     |                                   
day 4   I  |  |  |     |     |  |     |     |              |              
        I  |  |  |     |     |  |     |     |     |        |              
        I  |  |  |     |     |  |     |     |     |        |              
    0.0 ------------------------------------------------------------------
                                                                          
    .75 I  |                    |                                         
        I  |                 |  |     |                                   
day 3   I  |  |  |     |     |  |     |     |              |              
        I  |  |  |     |     |  |     |     |     |        |              
        I  |  |  |     |     |  |     |     |     |        |              
    0.0 ------------------------------------------------------------------
                                                                          
    .75 I  |                    |     |                                   
        I  |                 |  |     |                    |              
day 2   I  |     |     |     |  |     |     |     |        |              
        I  |  |  |     |     |  |     |     |     |        |              
        I  |  |  |     |     |  |     |     |     |        |              
    0.0 ------------------------------------------------------------------
                                                                          
    .75 I  |                 |  |     |                                   
        I  |                 |  |     |                                   
day 1   I  |     |           |  |     |     |              |              
        I  |  |  |     |     |  |     |     |     |        |              
        I  |  |  |     |     |  |     |     |     |        |              
    0.0 ------------------------------------------------------------------
           ^  ^  ^  ^  ^  ^  ^  ^  ^  ^  ^  ^  ^  ^  ^  ^  ^  ^  ^  ^  ^  
               cod                esa          emr        sio    gfz  jpl 
           ----------------  -------------  ----------  -------  ---- --- 
           e  e  s  g  j  u  e  s  g  j  u  s  g  j  u  g  j  u  j  u utx 
           s  m  i  f  p  t  m  i  f  p  t  i  f  p  t  f  p  t  p  t     
           a  r  o  z  l  x  r  o  z  l  x  o  z  l  x  z  l  x  l  x     

------------------------------------------------------------------------
------------------------------------------------------------------------

   (R + scale*I)*X1 + Translation --> X2
                                   |   1  R3 -R2 |
   I is 3x3 identity matrix      R=| -R3   1  R1 |
                                   |  R2 -R1   1 |
------------------------------------------------------------------------
ORBIT COMPARISON FOR DAY 1 OF GPS WEEK 681 (day 1 is Sunday)              
------------------------------------------------------------------------  
                                              Translations, RMS - meters  
MODIFIED JULIAN DATE      DAY   MONTH   YEAR  Rotations - mas             
       49011              24      1     1993  Scale - ppb                 
------------------------------------------------------------------------  
                                                                          
    DX    DY    DZ    RX    RY    RZ    SCALE   RMS                       
-0.058-0.006-0.069  -0.7  -1.0   1.5     -0.1  0.69  cod0681-->esa0681    
 0.002 0.002-0.046   0.3  -0.8  -0.1      0.2  0.25  cod0681-->emr0681    
 0.001-0.003 0.006   0.4   2.0  -0.6      0.6  0.34  cod0681-->sio0681    
 0.015-0.020-0.053   0.3  -0.3  -0.9      0.1  0.29  cod0681-->jpl0681    
                                                                          
 0.060 0.008 0.023   1.0   0.2  -1.6      0.3  0.61  esa0681-->emr0681    
 0.063 0.002 0.083   1.1   3.0  -2.2      0.8  0.71  esa0681-->sio0681    
 0.071-0.013 0.014   1.0   0.7  -2.4      0.2  0.63  esa0681-->jpl0681    
                                                                          
-0.002-0.006 0.054   0.1   2.8  -0.5      0.4  0.32  emr0681-->sio0681    
 0.013-0.022-0.008   0.0   0.5  -0.8     -0.1  0.22  emr0681-->jpl0681    

 0.014-0.021-0.054   0.0  -2.3  -0.1     -0.7  0.39  sio0681-->jpl0681    

------------------------------------------------------------------------  
ORBIT COMPARISON FOR DAY 2 OF GPS WEEK 681 (day 1 is Sunday)              
------------------------------------------------------------------------  
                                              Translations, RMS - meters  
MODIFIED JULIAN DATE      DAY   MONTH   YEAR  Rotations - mas             
       49012              25      1     1993  Scale - ppb                 
------------------------------------------------------------------------  
                                                                          
    DX    DY    DZ    RX    RY    RZ    SCALE   RMS                       
-0.044 0.066-0.016  -1.4  -1.2   2.6     -0.3  0.67  cod0681-->esa0681    
 0.014-0.002-0.006   0.5  -0.9  -0.7      0.1  0.28  cod0681-->emr0681    
 0.030-0.014 0.040  -0.3   2.5  -2.0      0.8  0.43  cod0681-->sio0681    
 0.061-0.062-0.007   0.3   2.1   0.5      0.2  0.42  cod0681-->jpl0681    
                                                                          
 0.058-0.068 0.009   1.9   0.3  -3.3      0.4  0.59  esa0681-->emr0681    
 0.070-0.079 0.058   1.1   3.7  -4.6      1.2  0.72  esa0681-->sio0681    
 0.105-0.128 0.008   1.7   3.3  -2.1      0.5  0.69  esa0681-->jpl0681    
                                                                          
 0.016-0.012 0.047  -0.8   3.4  -1.3      0.8  0.40  emr0681-->sio0681    
 0.047-0.060-0.001  -0.2   3.0   1.1      0.1  0.39  emr0681-->jpl0681    

 0.035-0.046-0.046   0.6  -0.3   2.4     -0.6  0.52  sio0681-->jpl0681    

------------------------------------------------------------------------  
ORBIT COMPARISON FOR DAY 3 OF GPS WEEK 681 (day 1 is Sunday)              
------------------------------------------------------------------------  
                                              Translations, RMS - meters  
MODIFIED JULIAN DATE      DAY   MONTH   YEAR  Rotations - mas             
       49013              26      1     1993  Scale - ppb                 
------------------------------------------------------------------------  
                                                                          
    DX    DY    DZ    RX    RY    RZ    SCALE   RMS                       
-0.093-0.064-0.067  -2.0  -0.4   0.6      0.4  0.62  cod0681-->esa0681    
 0.000-0.005-0.040  -0.3  -0.4   0.2      0.4  0.30  cod0681-->emr0681    
 0.052-0.012 0.016  -1.8   2.1  -3.3      0.8  0.40  cod0681-->sio0681    
 0.032-0.051-0.003  -0.3   0.4   0.6      0.5  0.31  cod0681-->jpl0681    
                                                                          
 0.093 0.059 0.027   1.8   0.0  -0.4      0.0  0.56  esa0681-->emr0681    
 0.149 0.049 0.082   0.2   2.5  -3.8      0.4  0.66  esa0681-->sio0681    
 0.125 0.013 0.064   1.7   0.8   0.0      0.1  0.56  esa0681-->jpl0681    
                                                                          
 0.052-0.006 0.056  -1.6   2.5  -3.4      0.4  0.35  emr0681-->sio0681    
 0.032-0.046 0.037  -0.1   0.8   0.4      0.1  0.20  emr0681-->jpl0681    

-0.017-0.040-0.018   1.5  -1.7   3.8     -0.3  0.35  sio0681-->jpl0681    

------------------------------------------------------------------------  
ORBIT COMPARISON FOR DAY 4 OF GPS WEEK 681 (day 1 is Sunday)              
------------------------------------------------------------------------  
                                              Translations, RMS - meters  
MODIFIED JULIAN DATE      DAY   MONTH   YEAR  Rotations - mas             
       49014              27      1     1993  Scale - ppb                 
------------------------------------------------------------------------  
                                                                          
    DX    DY    DZ    RX    RY    RZ    SCALE   RMS                       
-0.042 0.010-0.156  -2.1   1.3   2.1      2.0  0.71  cod0681-->esa0681    
-0.002-0.021 0.000   0.2  -0.3  -0.8      0.4  0.31  cod0681-->emr0681    
 0.002-0.024 0.050  -2.3   2.7  -6.7      1.1  0.42  cod0681-->sio0681    
 0.036-0.057 0.019   0.3   1.0  -0.6      0.6  0.31  cod0681-->jpl0681    
                                                                          
 0.040-0.030 0.156   2.3  -1.6  -2.9     -1.5  0.69  esa0681-->emr0681    
 0.044-0.036 0.210  -0.1   1.4  -8.8     -0.8  0.70  esa0681-->sio0681    
 0.078-0.067 0.175   2.4  -0.3  -2.7     -1.3  0.68  esa0681-->jpl0681    
                                                                          
 0.005-0.004 0.050  -2.4   3.0  -5.9      0.7  0.40  emr0681-->sio0681    
 0.038-0.037 0.019   0.1   1.3   0.2      0.2  0.20  emr0681-->jpl0681    

 0.036-0.034-0.030   2.6  -1.7   6.1     -0.5  0.39  sio0681-->jpl0681    

------------------------------------------------------------------------  
ORBIT COMPARISON FOR DAY 5 OF GPS WEEK 681 (day 1 is Sunday)              
------------------------------------------------------------------------  
                                              Translations, RMS - meters  
MODIFIED JULIAN DATE      DAY   MONTH   YEAR  Rotations - mas             
       49015              28      1     1993  Scale - ppb                 
------------------------------------------------------------------------  
                                                                          
    DX    DY    DZ    RX    RY    RZ    SCALE   RMS                       
-0.015 0.020-0.039  -1.9   2.0  -0.6     -1.3  0.66  cod0681-->esa0681    
-0.005-0.010 0.064   0.4   0.2  -1.4     -0.1  0.30  cod0681-->emr0681    
 0.027-0.006 0.098  -3.3   3.0 -10.1     -0.4  0.41  cod0681-->sio0681    
 0.055-0.055 0.041   0.5   1.2  -0.5      0.4  0.29  cod0681-->jpl0681    
                                                                          
 0.011-0.030 0.103   2.3  -1.8  -0.7      1.2  0.59  esa0681-->emr0681    
 0.039-0.030 0.139  -1.4   1.0  -9.5      0.8  0.69  esa0681-->sio0681    
 0.071-0.075 0.080   2.4  -0.8   0.1      1.7  0.65  esa0681-->jpl0681    
                                                                          
 0.031 0.004 0.036  -3.7   2.8  -8.7     -0.3  0.41  emr0681-->sio0681    
 0.060-0.045-0.023   0.1   1.0   0.8      0.6  0.28  emr0681-->jpl0681    

 0.031-0.049-0.057   3.8  -1.8   9.5      0.9  0.40  sio0681-->jpl0681    

------------------------------------------------------------------------  
ORBIT COMPARISON FOR DAY 6 OF GPS WEEK 681 (day 1 is Sunday)              
------------------------------------------------------------------------  
                                              Translations, RMS - meters  
MODIFIED JULIAN DATE      DAY   MONTH   YEAR  Rotations - mas             
       49016              29      1     1993  Scale - ppb                 
------------------------------------------------------------------------  
                                                                          
    DX    DY    DZ    RX    RY    RZ    SCALE   RMS                       
-0.018-0.041 0.066   0.0   1.1   2.2     -0.1  0.73  cod0681-->esa0681    
-0.019-0.008-0.015   1.4   0.2  -0.1      0.5  0.25  cod0681-->emr0681    
 0.028-0.014 0.055  -2.2   2.0 -10.9      0.5  0.37  cod0681-->sio0681    
 0.012-0.048 0.017   1.3   0.6   0.0      0.5  0.26  cod0681-->jpl0681    
                                                                          
-0.001 0.033-0.081   1.4  -0.9  -2.3      0.6  0.68  esa0681-->emr0681    
 0.039-0.015-0.022  -1.9   1.1 -13.0      0.5  0.75  esa0681-->sio0681    
 0.013-0.025-0.044   1.4  -0.2  -2.2      0.8  0.69  esa0681-->jpl0681    
                                                                          
 0.049-0.030 0.061  -3.4   1.8 -10.8     -0.2  0.34  emr0681-->sio0681    
 0.024-0.044 0.036  -0.2   0.5   0.1      0.0  0.21  emr0681-->jpl0681    

-0.012-0.035-0.037   3.5  -1.4  10.8      0.0  0.38  sio0681-->jpl0681    

------------------------------------------------------------------------  
ORBIT COMPARISON FOR DAY 7 OF GPS WEEK 681 (day 1 is Sunday)              
------------------------------------------------------------------------  
                                              Translations, RMS - meters  
MODIFIED JULIAN DATE      DAY   MONTH   YEAR  Rotations - mas             
       49017              30      1     1993  Scale - ppb                 
------------------------------------------------------------------------  
                                                                          
    DX    DY    DZ    RX    RY    RZ    SCALE   RMS                       
 0.036-0.026 0.007  -0.2   2.0   3.8      0.4  0.61  cod0681-->esa0681    
-0.021-0.001-0.013   0.8  -0.4   0.7      0.2  0.35  cod0681-->emr0681    
 0.053-0.001 0.075  -2.3   1.7 -13.3     -0.8  0.44  cod0681-->sio0681    
 0.018-0.039 0.023   0.8   0.6   0.7      0.5  0.35  cod0681-->jpl0681    
                                                                          
-0.057 0.025-0.020   1.0  -2.4  -3.2     -0.2  0.57  esa0681-->emr0681    
 0.025 0.012 0.051  -1.9  -0.3 -16.6     -1.1  0.65  esa0681-->sio0681    
-0.009-0.028 0.002   1.1  -1.5  -2.7      0.2  0.57  esa0681-->jpl0681    
                                                                          
 0.074 0.001 0.096  -3.1   2.1 -13.9     -0.9  0.38  emr0681-->sio0681    
 0.038-0.038 0.043  -0.1   1.0   0.1      0.4  0.21  emr0681-->jpl0681    

-0.019-0.062-0.058   3.2  -1.2  14.0      1.1  0.37  sio0681-->jpl0681    

------------------------------------------------------------------------  
                                    RMS [meters]                          
                       *---------------------------------------------*    
                       * interval along vertical axis :  .30         *    
                       *---------------------------------------------*    
                                      WEEK 680                            
                                                                          
   1.50 I                                                                 
        I                                                                 
day 7   I  |                 |  |     |                                   
        I  |  |  |     |     |  |     |     |              |              
        I  |  |  |     |     |  |     |     |     |        |              
   0.0  ------------------------------------------------------------------
                                                                          
   1.50 I                                                                 
        I                                                                 
day 6   I  |                 |  |     |     |              |              
        I  |  |  |     |     |  |     |     |              |              
        I  |  |  |     |     |  |     |     |     |        |              
   0.0  ------------------------------------------------------------------
                                                                          
   1.50 I                                                                 
        I                                                                 
day 5   I  |                 |  |     |                                   
        I  |     |     |     |  |     |     |              |              
        I  |  |  |     |     |  |     |     |     |        |              
   0.0  ------------------------------------------------------------------
                                                                          
   1.50 I                                                                 
        I                                                                 
day 4   I  |                 |  |     |                                   
        I  |  |  |     |     |  |     |     |     |        |              
        I  |  |  |     |     |  |     |     |     |        |              
    0.0 ------------------------------------------------------------------
                                                                          
   1.50 I                                                                 
        I  |                                                              
day 3   I  |  |  |     |     |  |     |                                   
        I  |  |  |     |     |  |     |     |     |        |              
        I  |  |  |     |     |  |     |     |     |        |              
    0.0 ------------------------------------------------------------------
                                                                          
   1.50 I                                                                 
        I                                                                 
day 2   I  |                 |  |     |                    |              
        I  |  |  |     |     |  |     |     |     |        |              
        I  |  |  |     |     |  |     |     |     |        |              
    0.0 ------------------------------------------------------------------
                                                                          
   1.50 I              |                          |                       
        I              |        |     |           |                       
day 1   I  |     |     |     |  |     |     |     |        |              
        I  |  |  |     |     |  |     |     |     |        |              
        I  |  |  |     |     |  |     |     |     |        |              
    0.0 ------------------------------------------------------------------
           ^  ^  ^  ^  ^  ^  ^  ^  ^  ^  ^  ^  ^  ^  ^  ^  ^  ^  ^  ^  ^  
               cod                esa          emr        sio    gfz  jpl 
           ----------------  -------------  ----------  -------  ---- --- 
           e  e  s  g  j  u  e  s  g  j  u  s  g  j  u  g  j  u  j  u utx 
           s  m  i  f  p  t  m  i  f  p  t  i  f  p  t  f  p  t  p  t     
           a  r  o  z  l  x  r  o  z  l  x  o  z  l  x  z  l  x  l  x     

------------------------------------------------------------------------
------------------------------------------------------------------------

   (R + scale*I)*X1 + Translation --> X2
                                   |   1  R3 -R2 |
   I is 3x3 identity matrix      R=| -R3   1  R1 |
                                   |  R2 -R1   1 |
------------------------------------------------------------------------
ORBIT COMPARISON FOR DAY 1 OF GPS WEEK 680 (day 1 is Sunday)              
------------------------------------------------------------------------  
                                              Translations, RMS - meters  
MODIFIED JULIAN DATE      DAY   MONTH   YEAR  Rotations - mas             
       49004              17      1     1993  Scale - ppb                 
------------------------------------------------------------------------  
                                                                          
    DX    DY    DZ    RX    RY    RZ    SCALE   RMS                       
-0.006-0.058 0.104  -3.6   0.4   0.1      2.3  0.89  cod0680-->esa0680    
-0.005-0.029-0.022  -0.5  -1.4  -0.4      0.6  0.34  cod0680-->emr0680    
-0.003 0.065 0.097   0.5   0.0   1.6      1.6  0.87  cod0680-->sio0680    
 0.174-0.070-0.029   1.2   2.0  -0.5      1.5  1.41  cod0680-->jpl0680    
                                                                          
-0.001 0.037-0.124   3.1  -1.9  -0.2     -1.2  0.85  esa0680-->emr0680    
-0.086 0.073-0.016   3.1  -1.0   0.3     -2.9  0.92  esa0680-->sio0680    
-0.057 0.002-0.099   4.6  -0.2  -1.1     -1.5  0.94  esa0680-->jpl0680    
                                                                          
 0.017 0.050 0.103   0.8   1.9   1.7      0.3  0.82  emr0680-->sio0680    
 0.149-0.052 0.037   1.4   3.0  -0.6      0.3  1.26  emr0680-->jpl0680    

 0.115-0.052-0.097   1.3   1.7  -1.1      3.4  0.86  sio0680-->jpl0680    

------------------------------------------------------------------------  
ORBIT COMPARISON FOR DAY 2 OF GPS WEEK 680 (day 1 is Sunday)              
------------------------------------------------------------------------  
                                              Translations, RMS - meters  
MODIFIED JULIAN DATE      DAY   MONTH   YEAR  Rotations - mas             
       49005              18      1     1993  Scale - ppb                 
------------------------------------------------------------------------  
                                                                          
    DX    DY    DZ    RX    RY    RZ    SCALE   RMS                       
 0.119-0.049 0.079  -3.3   2.3   3.5     -1.1  0.90  cod0680-->esa0680    
-0.008 0.003-0.018  -1.0  -1.2   0.5      0.7  0.37  cod0680-->emr0680    
 0.014 0.001 0.088  -1.6   0.2   4.0      0.1  0.47  cod0680-->sio0680    
-0.021 0.003 0.009  -0.2   0.3  -0.8      1.3  0.54  cod0680-->jpl0680    
                                                                          
-0.127 0.052-0.097   2.3  -3.5  -3.0      1.8  0.85  esa0680-->emr0680    
-0.106 0.055 0.013   1.8  -2.1   0.5      1.1  0.87  esa0680-->sio0680    
-0.140 0.051-0.069   3.2  -2.0  -4.3      2.4  0.90  esa0680-->jpl0680    
                                                                          
 0.023-0.002 0.110  -0.5   1.3   3.5     -0.7  0.44  emr0680-->sio0680    
-0.013 0.000 0.027   0.8   1.5  -1.3      0.6  0.52  emr0680-->jpl0680    

-0.029-0.002-0.074   1.4   0.2  -4.8      1.3  0.64  sio0680-->jpl0680    

------------------------------------------------------------------------  
ORBIT COMPARISON FOR DAY 3 OF GPS WEEK 680 (day 1 is Sunday)              
------------------------------------------------------------------------  
                                              Translations, RMS - meters  
MODIFIED JULIAN DATE      DAY   MONTH   YEAR  Rotations - mas             
       49006              19      1     1993  Scale - ppb                 
------------------------------------------------------------------------  
                                                                          
    DX    DY    DZ    RX    RY    RZ    SCALE   RMS                       
 0.018-0.098-0.017  -2.3  -0.8   3.4     -0.9  1.14  cod0680-->esa0680    
 0.049-0.014-0.034  -0.2  -1.4   1.5      0.7  0.80  cod0680-->emr0680    
 0.074 0.008 0.044  -1.7  -0.6   0.5      0.7  0.83  cod0680-->sio0680    
 0.021-0.061-0.041   0.1  -0.1   0.6      0.9  0.85  cod0680-->jpl0680    
                                                                          
 0.031 0.084-0.017   2.0  -0.6  -2.0      1.7  0.76  esa0680-->emr0680    
 0.058 0.105 0.067   0.6   0.1  -3.0      1.6  0.81  esa0680-->sio0680    
 0.002 0.037-0.024   2.3   0.7  -2.8      1.8  0.81  esa0680-->jpl0680    
                                                                          
 0.024 0.026 0.081  -1.4   0.7  -1.0      0.0  0.43  emr0680-->sio0680    
-0.028-0.046-0.007   0.3   1.3  -0.8      0.1  0.34  emr0680-->jpl0680    

-0.049-0.072-0.085   1.7   0.6   0.1      0.1  0.54  sio0680-->jpl0680    

------------------------------------------------------------------------  
ORBIT COMPARISON FOR DAY 4 OF GPS WEEK 680 (day 1 is Sunday)              
------------------------------------------------------------------------  
                                              Translations, RMS - meters  
MODIFIED JULIAN DATE      DAY   MONTH   YEAR  Rotations - mas             
       49007              20      1     1993  Scale - ppb                 
------------------------------------------------------------------------  
                                                                          
    DX    DY    DZ    RX    RY    RZ    SCALE   RMS                       
-0.019 0.001-0.002  -1.6   2.5   3.4     -0.3  0.83  cod0680-->esa0680    
 0.011 0.023 0.007  -0.8   0.3   0.3      0.0  0.30  cod0680-->emr0680    
 0.029 0.010 0.123  -2.2   0.9  -1.3     -0.1  0.41  cod0680-->sio0680    
-0.018-0.031 0.010   0.1   1.4  -1.2      0.3  0.41  cod0680-->jpl0680    
                                                                          
 0.029 0.021 0.009   0.8  -2.2  -3.0      0.3  0.81  esa0680-->emr0680    
 0.044 0.007 0.128  -0.6  -1.6  -4.8      0.2  0.88  esa0680-->sio0680    
 0.000-0.032 0.012   1.8  -1.1  -4.5      0.5  0.82  esa0680-->jpl0680    
                                                                          
 0.017-0.011 0.117  -1.4   0.5  -1.7     -0.1  0.43  emr0680-->sio0680    
-0.029-0.054 0.003   0.9   1.1  -1.5      0.2  0.35  emr0680-->jpl0680    

-0.044-0.042-0.110   2.4   0.5   0.2      0.4  0.55  sio0680-->jpl0680    

------------------------------------------------------------------------  
ORBIT COMPARISON FOR DAY 5 OF GPS WEEK 680 (day 1 is Sunday)              
------------------------------------------------------------------------  
                                              Translations, RMS - meters  
MODIFIED JULIAN DATE      DAY   MONTH   YEAR  Rotations - mas             
       49008              21      1     1993  Scale - ppb                 
------------------------------------------------------------------------  
                                                                          
    DX    DY    DZ    RX    RY    RZ    SCALE   RMS                       
-0.053-0.006-0.022  -1.4  -1.1   1.8     -0.7  0.71  cod0680-->esa0680    
 0.001-0.001 0.010  -0.4  -1.2   0.1     -0.3  0.28  cod0680-->emr0680    
-0.003 0.003 0.083  -1.1   0.4  -1.8      0.5  0.41  cod0680-->sio0680    
-0.005-0.023 0.026   0.1   0.0   0.1      0.2  0.36  cod0680-->jpl0680    
                                                                          
 0.054 0.005 0.032   0.9  -0.1  -1.6      0.4  0.63  esa0680-->emr0680    
 0.047 0.008 0.107   0.3   1.5  -3.6      1.1  0.73  esa0680-->sio0680    
 0.048-0.018 0.048   1.5   1.1  -1.6      0.8  0.65  esa0680-->jpl0680    
                                                                          
-0.006 0.006 0.073  -0.7   1.6  -1.9      0.7  0.42  emr0680-->sio0680    
-0.006-0.023 0.016   0.6   1.2   0.0      0.5  0.28  emr0680-->jpl0680    

 0.004-0.028-0.057   1.3  -0.3   1.9     -0.4  0.51  sio0680-->jpl0680    

------------------------------------------------------------------------  
ORBIT COMPARISON FOR DAY 6 OF GPS WEEK 680 (day 1 is Sunday)              
------------------------------------------------------------------------  
                                              Translations, RMS - meters  
MODIFIED JULIAN DATE      DAY   MONTH   YEAR  Rotations - mas             
       49009              22      1     1993  Scale - ppb                 
------------------------------------------------------------------------  
                                                                          
    DX    DY    DZ    RX    RY    RZ    SCALE   RMS                       
 0.042-0.102-0.037  -1.5  -0.5   2.3     -0.3  0.78  cod0680-->esa0680    
 0.095-0.061-0.050   1.1  -1.1  -0.9      0.0  0.43  cod0680-->emr0680    
 0.015 0.074 0.010   0.0   2.1  -2.9      0.2  0.55  cod0680-->sio0680    
 0.110-0.098-0.040   1.0   0.3  -1.0      0.2  0.45  cod0680-->jpl0680    
                                                                          
 0.053 0.040-0.012   2.5  -0.5  -3.1      0.4  0.66  esa0680-->emr0680    
-0.030 0.176 0.050   1.4   2.7  -5.3      0.5  0.86  esa0680-->sio0680    
 0.067 0.004-0.003   2.5   0.8  -3.3      0.6  0.65  esa0680-->jpl0680    
                                                                          
-0.080 0.135 0.061  -1.1   3.2  -2.1      0.1  0.60  emr0680-->sio0680    
 0.014-0.036 0.009  -0.1   1.4  -0.1      0.2  0.29  emr0680-->jpl0680    

 0.098-0.174-0.048   1.0  -1.8   2.0      0.1  0.61  sio0680-->jpl0680    

------------------------------------------------------------------------  
ORBIT COMPARISON FOR DAY 7 OF GPS WEEK 680 (day 1 is Sunday)              
------------------------------------------------------------------------  
                                              Translations, RMS - meters  
MODIFIED JULIAN DATE      DAY   MONTH   YEAR  Rotations - mas             
       49010              23      1     1993  Scale - ppb                 
------------------------------------------------------------------------  
                                                                          
    DX    DY    DZ    RX    RY    RZ    SCALE   RMS                       
-0.045 0.042-0.134  -0.8  -2.2   3.1     -0.4  0.75  cod0680-->esa0680    
-0.009-0.002-0.086   1.0  -2.0  -0.1      0.4  0.32  cod0680-->emr0680    
-0.007 0.005-0.020   0.4   0.7  -1.8      0.8  0.41  cod0680-->sio0680    
 0.018-0.052-0.074   0.7  -1.1   0.1      0.8  0.33  cod0680-->jpl0680    
                                                                          
 0.036-0.044 0.048   1.8   0.1  -3.2      0.8  0.69  esa0680-->emr0680    
 0.034-0.034 0.113   1.2   2.7  -5.0      1.2  0.78  esa0680-->sio0680    
 0.062-0.093 0.060   1.5   1.1  -3.1      1.2  0.69  esa0680-->jpl0680    
                                                                          
 0.000 0.007 0.066  -0.6   2.6  -1.8      0.4  0.39  emr0680-->sio0680    
 0.027-0.050 0.012  -0.3   1.0   0.1      0.4  0.19  emr0680-->jpl0680    

 0.029-0.055-0.052   0.3  -1.6   1.9     -0.1  0.39  sio0680-->jpl0680    

------------------------------------------------------------------------