GPS Network report

Note: The following section shows the report generated by the least squares adjustment of the GPS network.  The 3D adjustment model MUST be used when processing GPS vectors. Explanations of the report are included in the report section and are in bold text.


     ===============================
     LEAST SQUARES ADJUSTMENT REPORT
     ===============================

Wed Oct 12 10:59:51 2016
3D Geodetic Model.
Input Raw Files:
    C:\data\gpsonly\control.cgr
    C:\data\gpsonly\chapt16.gps
Output File: C:\data\gpsonly\gpsOnly.RPT
Traverse File: C:\data\gpsonly\gpsLoops.cls
Curvature, refraction correction: OFF
Maximum iterations: 10 , Convergence Limit: 0.002000
1983 State Plane Coordinates, zone:Wisconsin South - 4803
Horizontal Units: Meters
Confidence Interval: 95.00
Geoid Height computed from geoid grid files using the GEOID99 model.
Default Standard Errors:
  Distance: Constant 0.010 ,PPM: 5.000
  Horiz. Angle: Pointing 10.0" ,Reading: 3.0"
  Vert. Angle: Pointing 3.0" ,Reading: 3.0"
  Total Station: Centering 0.005 ,Height: 0.010
  Target: Centering 0.010 ,Height: 0.010
  Azimuth: 5"
  Coordinate Control: N:0.001, E:0.001, Z:0.030,
  GPS: Centering:0.003, Vector Err. Factor:7.0


     3-DIMENSIONAL ADJUSTMENT REPORT
     ===============================

The following section shows the unadjusted measurements that make up the network. The control coordinates are displayed first followed by the GPS vectors. The control coordinates are displayed as latitude/longitude, SPC Grid XYZ, and geocentric XYZ. If geoid modeling is set both ellipsoid and orthometric elevations are displayed, ellipsoid elevation in the latitude/longitude section and orthometric elevation in the SPC section. The GPS vector section shows the unadjusted delta XYZ, variances and covariances of the vectors.


Unadjusted Observations
=======================

Control Coordinates:     0 Observed Points,    2 Fixed Points,    0 Approx. Points
 Sta.         Latitude          Longitude           Z (Ellip.)     StErr N:   StErr E:   StErr Z:NE
 A           43-15'46.28901"N  89-59'42.16399"W      1348.23       FIXED      FIXED      FIXED
 B           43-23'46.36261"N  89-54'00.75701"W      1200.63       FIXED      FIXED      FIXED

Grid XYZ
 Sta.             N:            E:            Z (Geoid): StErr N:   StErr E: StErr Z:                               
 A            140291.2060   600402.2380       1382.62      FIXED       FIXED     FIXED
 B            155110.5390   608083.9250       1235.46      FIXED       FIXED     FIXED

Geocentric XYZ
 Sta.            X:            Y:              Z:        StErr X(m): StErr Y(m): StErr Z(m):
 A               402.3489  -4652970.2600 4349737.2110       FIXED       FIXED     FIXED
 B              8085.9876  -4642687.5392 4360415.1538       FIXED       FIXED     FIXED

The GPS vectors are shown (Delta X, Delta Y and Delta Z values). Also shown are the bearing, horizontal distance and vertical difference of each vector:

GPS Vectors:   13 Observations (Meters)
Multiplication factor applied to Variance and Covariance values:  128 (2 to  7 power)

 From Sta.        Delta X   Variance Delta X   Covariance XY   Bearing  
 To   Sta.        Delta Y   Variance Delta Y   Covariance XZ   H.Distance
                  Delta Z   Variance Delta Z   Covariance YZ   V.Distance

 A               11644.223          0.126        -0.001226   N 67-00'00.4"E
 C                3601.217           0.12         0.001219    12650.1512
                  3399.255         0.1258        -0.001219     -292.0672

 A               -5321.716        0.02764       -0.0002688   N 47-56'12.9"W
 E                3634.075        0.02458        0.0002765     7167.7644
                  3173.665        0.02568       -0.0002688     -471.6711

 B                3960.544        0.02952       -0.0002854   S 21-46'39.9"E
 C               -6681.247        0.03261         0.000265    10643.7341
                 -7279.015        0.02884       -0.0002854     -141.2376

 B              -11167.608        0.03458        -0.000352   S 85-18'14.1"W
 D                -394.520        0.03485        0.0003648    11205.8960
                  -907.959        0.03419       -0.0003482     -351.2707

 D               15128.165        0.01872        -0.000183   S 59-25'16.9"E
 C               -6286.705        0.02068        0.0001715    17576.6958
                 -6371.058        0.01676       -0.0001843      184.8828

 D               -1837.746        0.01577       -0.0001523   S 11-24'12.6"W
 E               -6253.853        0.01636        0.0001562     9273.8256
                 -6596.670        0.01644       -0.0001549       14.2116

 F               -1116.452       0.009586       -0.0001011   S 10-01'41.1"W
 A               -4596.161       0.008457        0.0001126     6420.1982
                 -4355.906       0.009766       -0.0001037      355.1552

 F               10527.785        0.03288        -0.000288   S 82-31'36.9"E
 C                -994.938         0.0277        0.0003072    10617.6451
                  -956.625         0.0307       -0.0002906       70.0452

 F               -6438.136         0.0121       -0.0001178   S 76-43'39.1"W
 E                -962.069        0.01277        0.0001331     6615.1455
                 -1182.230        0.01132       -0.0001139     -112.6820

 F               -4600.379        0.01196       -0.0001267   N 31-16'31.7"W
 D                5291.779        0.01266        0.0001152     8857.9833
                  5414.431        0.01543       -0.0001267     -136.3798

 F                6567.231       0.008521       -8.32E-005   N 37-41'59.1"E
 B                5686.293       0.009573       8.832E-005    10742.1697
                  6322.392       0.007759      -8.192E-005      202.1754

 B               -6567.231       0.007073      -8.064E-005   S 37-45'19.5"W
 F               -5686.303       0.009582       7.808E-005    10741.8133
                 -6322.381       0.008503      -8.064E-005     -220.2601

 A                1116.458        0.00849       -0.0001024   N 10-01'07.3"E
 F                4596.155         0.0104        0.0001152     6419.8396
                  4355.914        0.01202        -0.000105     -361.6188

The optional Traverse Closure section shows the GPS loop closures for the GPS loops defined in the closure, .CLS file.

Traverse Closures
=================

GPS Loop Points:
A,E,F,A

GPS Loop Closure;

 Misclosure, X:   -0.0323   Y:   -0.0162   Z:   -0.0105
  Closure error:    0.0376   Perimeter: 20229.3858
  Precision: 1: 537594

GPS Loop Points:
C,F,D,B,C

GPS Loop Closure;

 Misclosure, X:   -0.0121   Y:   -0.0101   Z:    0.0002
  Closure error:    0.0158   Perimeter: 41332.9807
  Precision: 1: 2622216

GPS Loop Points:
F,D,B,F

GPS Loop Closure;

 Misclosure, X:   -0.0022   Y:   -0.0044   Z:    0.0097
  Closure error:    0.0109   Perimeter: 30814.5047
  Precision: 1: 2833226


Following are the final adjusted coordinates. Included in the report are point grid factor, elev. factor and the combined factor. Following the adjusted coordinates are the error ellipses, followed by the adjusted measurements section.


Adjusted Geographic Coordinates
 Sta.         Latitude          Longitude          Z (Ellip.)   Conv. Ang.    Grid Factor   Z Factor   Combined Factor
 C          43-18'26.10221"N  89-51'05.56799"W       1068.43   000-06'07.2"   0.99993389   0.99983235   0.99976625
 E          43-18'21.80297"N  90-03'38.24477"W        880.40  -000-02'30.0"   0.99993392   0.99986185   0.99979578
 D          43-23'16.34105"N  90-02'16.89840"W        859.36  -000-01'34.1"   0.99993257   0.99986515   0.99979774
 F          43-19'11.10720"N  89-58'52.60718"W        989.61   000-00'46.3"   0.99993355   0.99984472   0.99977828

                                                        Average Combined Scale Factor: 0.99978451

Adjusted Grid Coordinates, (Meters)
 Sta.             N:            E:            Z (Geoid): StErr N:   StErr E: StErr Z:     DN         DE         DZ  
 C            145233.5291   612043.7357         1103.09  0.0962     0.0972   0.0973           
 E            145091.9273   595081.6287          914.80  0.0831     0.0837   0.0840           
 D            154179.9652   596918.9980          894.01  0.0812     0.0791   0.0819           
 F            146611.7765   601518.4253         1024.16  0.0447     0.0427   0.0452           


Adjusted Geocentric Coordinates, (Metric)
 Sta.            X:            Y:              Z:        StErr X(m): StErr Y(m): StErr Z(m):
 C             12046.5393  -4649368.8693      4353136.26  0.0962     0.0966   0.0979
 E             -4919.3737  -4649336.0614      4352910.73  0.0831     0.0833   0.0844
 D             -3081.6241  -4643082.1683      4359507.34  0.0812     0.0801   0.0810
 F              1518.7615  -4648373.9615      4354092.93  0.0447     0.0437   0.0442


Adjusted Grid Coordinates (N,E) Error Ellipses, 95% CI
 Sta.               Semi Major     Semi Minor      Max. Error Az.        Elev.
                       Axis           Axis
 C                    0.2380          0.2355          N 89-13'58.4"E      0.1919
 E                    0.2050          0.2033          N 86-52'01.5"E      0.1655
 D                    0.1989          0.1937          N 00-18'30.1"E      0.1588
 F                    0.1094          0.1046          N 00-33'33.6"E      0.0867


The adjusted observations are shown:

Adjusted Observations
=====================

GPS Vectors:   13 Observations (Meters)
 From Sta.          Delta X    Residual    StdRes    StdDev
 To   Sta.          Delta Y    Residual    StdRes    StdDev
                    Delta Z    Residual    StdRes    StdDev

 A                  11644.3130    0.0898        0.3     0.0972
 C                   3601.4692    0.2527        0.7     0.0962
                     3399.2263   -0.0287        0.1     0.0973

 A                  -5321.6362    0.0802        0.5     0.0837
 E                   3634.2495    0.1741        1.1     0.0831
                     3173.6413   -0.0239        0.1     0.0840

 B                   3960.4857   -0.0585        0.3     0.0972
 C                  -6681.3803   -0.1336        0.7     0.0962
                    -7278.9822    0.0326        0.2     0.0973

 B                 -11167.6912   -0.0836        0.4     0.0791
 D                   -394.6781   -0.1577        0.8     0.0812
                     -907.9287    0.0306        0.2     0.0819

 D                  15128.1635   -0.0012        0.0     0.0989
 C                  -6286.7011    0.0043        0.0     0.0981
                    -6371.0766   -0.0183        0.1     0.0993

 D                  -1837.7496   -0.0037        0.0     0.0883
 E                  -6253.8932   -0.0398        0.3     0.0892
                    -6596.6118    0.0579        0.5     0.0900

 F                  -1116.4126    0.0397        0.4     0.0427
 A                  -4596.2985   -0.1375        1.5     0.0447
                    -4355.7192    0.1870        1.9     0.0452

 F                  10527.7779   -0.0073        0.0     0.0966
 C                   -994.9079    0.0298        0.2     0.0954
                     -956.6675   -0.0429        0.2     0.0964

 F                  -6438.1351    0.0013        0.0     0.0795
 E                   -962.1000   -0.0306        0.3     0.0789
                    -1182.2028    0.0277        0.3     0.0797

 F                  -4600.3856   -0.0069        0.1     0.0749
 D                   5291.7932    0.0147        0.1     0.0773
                     5414.4090   -0.0221        0.2     0.0779

 F                   6567.2261   -0.0050        0.1     0.0427
 B                   5686.4222    0.1296        1.3     0.0447
                     6322.2236   -0.1681        1.9     0.0452

 B                  -6567.2263    0.0048        0.1     0.0427
 F                  -5686.4224   -0.1191        1.2     0.0447
                    -6322.2237    0.1570        1.7     0.0452

 A                   1116.4126   -0.0451        0.5     0.0427
 F                   4596.2983    0.1430        1.4     0.0447
                     4355.7191   -0.1950        1.8     0.0452


The final section displays a variety statistical measures, followed by sideshots if there are any. Side shots would be a point that has only a single GPS vector going to or from the point.

Statistics
==========

 Solution converged in 2 iterations

 Total Observations:39
 Total Unknowns:12
 Degrees of Freedom:27

  Observation Count    Sum Squares  Std. Error
                       of StdRes    of Unit Wt.
  Vectors:       39       25.231     0.967

  Total:         39       25.231     0.967

 Reference Variance:0.934
 Standard Error Unit Weight: (+/-)0.967
 Passed the Chi-Square test at the 95.00 significance level
 14.573 <= 24.955 <= 43.195

  All confidence regions were computed using the following factors:
  Variance factor: 1.0000
  1-D Expansion Factor: 1.9600
  2-D Expansion Factor: 2.4477
  Expansion factors for 95.00 confidence regions taken from normal distribution table


Sideshots
=========