COLUMBUS 3D Geodetic Network Adjustment Software

COLUMBUS:       Full - Ver 3.5.1.119
Report File:    D:\Surveying\OPUS Adjustment\Combining Using Contrived Zero Observations\Columbus Report.rpt
Document:       D:\Surveying\OPUS Adjustment\Combining Using Contrived Zero Observations\OPUS positions with contrived 0 observations.txt
DATE:           07/04/2004   TIME:  23:40:55

NAD 83          Major = 6378137.0000   1/f = 298.25722210   
Linear  Units:  Meters
Angular Units:  Degrees

Hgt Update   :  Ortho Hgt Update (fix ghgt, float ellip hgt)
Settings     :  Geoid Hgt Update (float ortho, fix ellip hgt)
             :  Ellip Hgt Update (float ortho, fix geoid hgt)


3D GEODETIC NETWORK ADJUSTMENT SUMMARY

Datum                 NAD 83          1D Expansion Factor       1.95937
Linear  Units         Meters          2D Expansion Factor       2.44788
Angular Units         Degrees         3D Expansion Factor       2.79532

Field Observations    9               A Priori     Variance     1.00000
Coord Observations    0               A Posteriori Variance     1.00000
TOTAL OBSERVATIONS    9               Confidence Level         95.0
                                      Chi Square Test On Variance Factor
Num Stations          4                 0.415 < 1.0 < 4.845  (Passes)
Fixed In 1D           0               Variance Factor Used      1.00000
Fixed In 2D           0
Fixed In 3D           3               No Check Observations    0
Float Coord Parms     3               Stan Res Rejections      0
                                        ( Tau Stat = 2.266 )
Direction Parms       0               Resid/SD Rejections      0
Scale Parms           0               Residual Rejections      0
Rotation Parms N      0               TOTAL OUTLIER OBS        0
Rotation Parms E      0
Rotation Parms Up     0               Iterations               2
TOTAL PARMS           3               Convergence Criteria      0.0010000
                                      Zenith Angle Refraction   0.00000
                                      Rotate Bearings           No
Degrees Of Freedom    6               Use Full Covariance       Yes



Adjusted Coordinates

  Station
  Latitude           SD       Longitude          SD         Ellip Hgt   SD

  NLIB
  N  41-46-17.70035  0.0023   W  91-34-29.59242  0.0017      208.09148  0.0087

  OPUS095
3 N  41-46-17.70051  0.0000   W  91-34-29.59230  0.0000      208.07966  0.0000

  OPUS096
3 N  41-46-17.70028  0.0000   W  91-34-29.59241  0.0000      208.09357  0.0000

  OPUS097
3 N  41-46-17.70027  0.0000   W  91-34-29.59258  0.0000      208.10287  0.0000

1 - 1D Fixed    2 - 2D Fixed    3 - 3D Fixed



GPS Local NEU Residuals


Stations             Field Observations         Local NEU Residual

AT  OPUS095          Delta X          0.00001   Delta N    -0.00484
TO  NLIB             Delta Y          0.00000   Delta E    -0.00277
                     Delta Z          0.00000   Delta Up    0.01182

AT  OPUS096          Delta X          0.00000   Delta N     0.00223
TO  NLIB             Delta Y          0.00000   Delta E    -0.00018
                     Delta Z          0.00000   Delta Up   -0.00209

AT  OPUS097          Delta X          0.00000   Delta N     0.00247
TO  NLIB             Delta Y          0.00000   Delta E     0.00361
                     Delta Z          0.00000   Delta Up   -0.01139



 Chi Square Test - Confid 95.000                 9 Residuals, 0 Out Of Range 
 0.00 <   4.96 < 21.02  Passes        |                             ALL OBS  
                                      |                                      
R                                     |                                      
e .4                    ####         *|#### ####                             
l                       ####     *    |####*####                             
                        ####   *      |#### ####                             
F .3                    ####  *       |#### ####                             
r                       #### *        |#### ####                             
e                       ####*         |#### ####*                            
q .2                    ####          |#### #### *                           
u                       #### #### ####|#### ####   *  ####                   
e                      *#### #### ####|#### ####     *####                   
n .1                 *  #### #### ####|#### ####      ####                   
c                 *     #### #### ####|#### ####      ####*                  
y        *    *         #### #### ####|#### ####      ####    *    *         
 --|----|----|----|----|----|----|----|----|----|----|----|----|----|----|-- 
CNT    0    0    0    0    2    1    1    2    2    0    1    0    0    0    
STD    -3        -2        -1         0         1         2         3        



 Chi Square Test - Confid 95.000                 3 Residuals, 0 Out Of Range 
 0.00 <   9.93 < 21.02  Passes        |                             Delta X  
                        ^^^^      ^^^^|               ^^^^                   
R                       ####      ####|               ####                   
e .4                    ####      ####|*              ####                   
l                       ####     *####|    *          ####                   
                        ####   *  ####|      *        ####                   
F .3                    ####  *   ####|       *       ####                   
r                       #### *    ####|        *      ####                   
e                       ####*     ####|         *     ####                   
q .2                    ####      ####|          *    ####                   
u                       ####      ####|            *  ####                   
e                      *####      ####|              *####                   
n .1                 *  ####      ####|               ####                   
c                 *     ####      ####|               ####*                  
y        *    *         ####      ####|               ####    *    *         
 --|----|----|----|----|----|----|----|----|----|----|----|----|----|----|-- 
CNT    0    0    0    0    1    0    1    0    0    0    1    0    0    0    
STD    -3        -2        -1         0         1         2         3        



 Chi Square Test - Confid 95.000                 3 Residuals, 0 Out Of Range 
 0.00 <   4.59 < 21.02  Passes        |                             Delta Y  
                        ^^^^          |^^^^ ^^^^                             
R                       ####          |#### ####                             
e .4                    ####         *|#### ####                             
l                       ####     *    |####*####                             
                        ####   *      |#### ####                             
F .3                    ####  *       |#### ####                             
r                       #### *        |#### ####                             
e                       ####*         |#### ####*                            
q .2                    ####          |#### #### *                           
u                       ####          |#### ####   *                         
e                      *####          |#### ####     *                       
n .1                 *  ####          |#### ####       *                     
c                 *     ####          |#### ####          *                  
y        *    *         ####          |#### ####              *    *         
 --|----|----|----|----|----|----|----|----|----|----|----|----|----|----|-- 
CNT    0    0    0    0    1    0    0    1    1    0    0    0    0    0    
STD    -3        -2        -1         0         1         2         3        



 Chi Square Test - Confid 95.000                 3 Residuals, 0 Out Of Range 
 0.00 <   3.19 < 21.02  Passes        |                             Delta Z  
                             ^^^^     |^^^^ ^^^^                             
R                            ####     |#### ####                             
e .4                         ####    *|#### ####                             
l                            ####*    |####*####                             
                             ####     |#### ####                             
F .3                         ####     |#### ####                             
r                            ####     |#### ####                             
e                           *####     |#### ####*                            
q .2                       * ####     |#### #### *                           
u                        *   ####     |#### ####   *                         
e                      *     ####     |#### ####     *                       
n .1                 *       ####     |#### ####       *                     
c                 *          ####     |#### ####          *                  
y        *    *              ####     |#### ####              *    *         
 --|----|----|----|----|----|----|----|----|----|----|----|----|----|----|-- 
CNT    0    0    0    0    0    1    0    1    1    0    0    0    0    0    
STD    -3        -2        -1         0         1         2         3        


Adjusted 3D GPS XYZ Inverses

AT               TO
Delta X          Delta Y        Delta Z

OPUS095          NLIB
     -0.0031          -0.0120          0.0043

OPUS096          NLIB
     -0.0001           0.0030          0.0003

OPUS097          NLIB
      0.0039           0.0100         -0.0057



Connected Station Height Confidence Intervals

Confidence Level  0.950
Expansion  1D     Chi Square  1.959

AT               TO               Height Confidence Interval

OPUS095          NLIB             0.01708   

OPUS096          NLIB             0.01708   

OPUS097          NLIB             0.01708   



Distance Errors (connected stations)

Confidence Level  0.950
Expansion  1D     Chi Square  1.959

AT               TO     Distance   Stan Dev           PPM Ratio

OPUS095          NLIB     0.0131     0.0158  1213064.0579   1:1

OPUS096          NLIB     0.0031     0.0131  4277680.9520   1:0

OPUS097          NLIB     0.0122     0.0160  1311069.3563   1:1


Adjusted Coordinates

  Station                          Covariance Matrix

  NLIB
  Latitude    N  41-46-17.70035    0.000005443   
  Longitude   W  91-34-29.59242   -0.000000477    0.000003017   
  Ellip Hgt           208.09148   -0.000005907    0.000003986    0.000076012

  OPUS095
F Latitude    N  41-46-17.70051    0.000000000   
F Longitude   W  91-34-29.59230   -0.000000000    0.000000000   
F Ellip Hgt           208.07966   -0.000000000    0.000000000    0.000000000

  OPUS096
F Latitude    N  41-46-17.70028    0.000000000   
F Longitude   W  91-34-29.59241   -0.000000000    0.000000000   
F Ellip Hgt           208.09357   -0.000000000    0.000000000    0.000000000

  OPUS097
F Latitude    N  41-46-17.70027    0.000000000   
F Longitude   W  91-34-29.59258   -0.000000000    0.000000000   
F Ellip Hgt           208.10287   -0.000000000    0.000000000    0.000000000

F - Fixed Component


Adjusted Geodetic To Cartesian (Vertical Used: Ellip Hgt)

Station             Geodetic        To   GPS XYZ

NLIB             N  41-46-17.70035       -130933.9351
                 W  91-34-29.59242      -4762293.0960
                         208.0915        4226854.7353

OPUS095          N  41-46-17.70051       -130933.9320
                 W  91-34-29.59230      -4762293.0840
                         208.0797        4226854.7310

OPUS096          N  41-46-17.70028       -130933.9350
                 W  91-34-29.59241      -4762293.0990
                         208.0936        4226854.7350

OPUS097          N  41-46-17.70027       -130933.9390
                 W  91-34-29.59258      -4762293.1060
                         208.1029        4226854.7410