Note: Highlighted explanatory text is found within the report text.
===============================
LEAST SQUARES ADJUSTMENT REPORT
===============================
Wed Oct 12 10:15:00
2D Geodetic Model.
Input Raw Files:
C:\Carlson Projects\cgstar.cgr
Output File: C:\Carlson Projects\cgstar.RPT
Traverse File: C:\Carlson Projects\cgstar.cls
Curvature, refraction correction: ON
Maximum iterations: 10 , Convergence Limit: 0.002000
1983 State Plane Coordinates, zone:Georgia West - 1002
Elevation factor computed from raw data elevations.
Elevation Units: US Feet
Horizontal Units: US Feet
Confidence Interval: 95.00
Project Geoid Height: 0.000
Default Standard Errors:
Distance: Constant 0.010 ,PPM: 5.000
Horiz. Angle: Pointing 0.0" ,Reading: 5.0"
Vert. Angle: Pointing 0.0" ,Reading: 20.0"
Total Station: Centering 0.010 ,Height: 0.010
Target: Centering 0.010 ,Height: 0.010
Azimuth: 5"
Coordinate Control: N:0.010, E:0.010, Z:0.020,
Horizontal Distance from 2 to 3 exceeds tolerance:
Low: 324.153, High: 324.196, Diff: 0.042
Vertical Distance from 2 to 3 exceeds tolerance:
Low: 6.617, High: 8.362, Diff: 1.745
Vertical Distance from 3 to 4 exceeds tolerance:
Low: 11.463, High: 11.512, Diff: 0.050
Horizontal Distance from 12 to 3 exceeds tolerance:
Low: 144.641, High: 144.661, Diff: 0.020
HORIZONTAL ADJUSTMENT REPORT
============================
Unadjusted Observations
=======================
The control coordinates and azimuths are shown:
Control Coordinates: 2 Observed Points, 0 Fixed Points, 0 Approx. Points
Sta. N: E: StErr N: StErr E:
1 658428.2600 2150182.7000 0.0200 0.0200
4 658863.5500 2149911.0300 0.0200 0.0200
Grid Azimuths: 1 Observations
Occ. Sta. FS Sta. Bearing StErr (Sec.)
1 2 N 45-00'00.0"E 05.0
The first distance listing in the Unadjusted Observation section of the report shows the unadjusted horizontal ground distances
Distances: 14 Observations
From Sta. To Sta. Ground Dist. StErr
1 5 290.450 0.015
1 2 292.213 0.015
2 6 52.388 0.016
2 3 324.186 0.015
3 4 275.603 0.015
3 20 134.663 0.018
20 21 116.073 0.018
21 22 50.115 0.017
4 5 309.647 0.015
5 10 129.985 0.016
10 11 126.010 0.016
10 15 10.000 0.017
11 12 129.426 0.016
12 3 144.651 0.016
Angles: 17 Observations
BS Sta. Occ. Sta. FS Sta. Angle StErr (Sec.)
5 1 2 109-19'13.0" 13.9
1 2 6 190-32'06.0" 51.9
1 2 3 096-03'52.0" 12.9
2 3 30 350-57'34.0" 07.1
2 3 4 124-03'53.0" 14.0
2 3 20 185-23'56.0" 23.7
3 20 21 180-15'26.0" 33.9
20 21 22 183-26'45.0" 61.6
3 4 5 093-02'11.5" 13.3
4 5 10 039-26'40.0" 19.7
5 10 11 241-56'29.0" 30.4
5 10 15 056-23'10.0" 249.9
10 11 12 114-56'27.0" 30.3
11 12 3 140-39'24.5" 29.8
12 3 2 325-54'30.0" 17.8
4 5 30 079-39'33.0" 07.1
4 5 1 117-30'42.5" 13.8
Closure Report if a project closure file has been created and selected:
Traverse Closures
=================
Traverse points:
5,1-5,1
Loop Traverse; Interior direction reference;
Compute angle closure.
Compute vertical closure.
BS IP FS Angle FS H. Dist. FS V. Dist.
5 1 2 109-19'13.0" 292.183 7.566
1 2 3 096-03'52.0" 324.153 6.984
2 3 4 124-03'53.0" 275.575 -11.491
3 4 5 093-02'11.5" 309.615 4.356
4 5 1 117-30'42.5" 290.420 -7.504
Closing Az: S 64-19'13.0"E
Computed Closing Az: S 64-19'21.0"E
Total angular error: 000-00'08.0"
Angular error per point: 000-00'01.6"
Correct Ending Coordinates, North: 658428.260 East: 2150182.700
Ending Coordinates, North: 658428.312 East: 2150182.664
Error, N: 0.052 E: -0.036 Total: 0.064 Brg: S 34-48'25.3"E
Distance Traversed: 1491.946 Closure: 1: 23446
Correct Ending Elevation: 569.850
Ending Elevation: 569.761
Elevation Error: -0.089
Closure After Angle Adjustment
5 1 2 109-19'14.6" 292.183 7.566
1 2 3 096-03'53.6" 324.153 6.984
2 3 4 124-03'54.6" 275.575 -11.491
3 4 5 093-02'13.1" 309.615 4.356
4 5 1 117-30'44.1" 290.420 -7.504
Closing Az: S 64-19'13.0"E
Computed Closing Az: S 64-19'13.0"E
Total angular error: 000-00'00.0"
Angular error per point: 000-00'00.0"
Correct Ending Coordinates, North: 658428.260 East: 2150182.700
Ending Coordinates, North: 658428.310 East: 2150182.654
Error, N: 0.050 E: -0.046 Total: 0.068 Brg: S 42-39'45.7"E
Distance Traversed: 1491.946 Closure: 1: 22059
The reduced, unadjusted grid distances are shown. The grid factor, the elevation factor, and the combined factor used to reduce the ground distance to a grid distance are included in the listing:
Grid Distances: 14 Observations
From Sta. To Sta. Grid Dist. Grid Factor Z Factor Combined Factor
1 5 290.420 0.99992459 0.99997256 0.99989716
1 2 292.183 0.99992452 0.99997256 0.99989708
2 6 52.382 0.99992447 0.99997239 0.99989686
2 3 324.153 0.99992451 0.99997221 0.99989673
3 4 275.575 0.99992459 0.99997232 0.99989692
3 20 134.649 0.99992456 0.99997235 0.99989691
20 21 116.061 0.99992458 0.99997243 0.99989701
21 22 50.110 0.99992460 0.99997223 0.99989683
4 5 309.615 0.99992464 0.99997249 0.99989713
5 10 129.972 0.99992462 0.99997233 0.99989696
10 11 125.997 0.99992459 0.99997225 0.99989684
10 15 9.999 0.99992461 0.99997228 0.99989689
11 12 129.413 0.99992456 0.99997221 0.99989677
12 3 144.636 0.99992455 0.99997213 0.99989667
The reduced, unadjusted horizontal angles with the t-T correction applied are shown. The t-T correction is generally a small correction. For most surveys of limited size the correction is negligible. The t-T correction is displayed in seconds.
Grid Horizontal Angles: 17 Observations
BS Sta. Occ. Sta. FS Sta. Angle StErr (Sec.) t-T
5 1 2 109-19'13.0" 13.9 0.0
1 2 6 190-32'06.0" 51.9 0.0
1 2 3 096-03'52.0" 12.9 0.0
2 3 30 350-57'34.0" 7.1 0.0
2 3 4 124-03'53.0" 14.0 0.0
2 3 20 185-23'56.0" 23.7 0.0
3 20 21 180-15'26.0" 33.9 0.0
20 21 22 183-26'45.0" 61.6 0.0
3 4 5 093-02'11.5" 13.3 -0.0
4 5 10 039-26'40.0" 19.7 -0.0
5 10 11 241-56'29.0" 30.4 0.0
5 10 15 056-23'10.0" 249.9 0.0
10 11 12 114-56'27.0" 30.3 0.0
11 12 3 140-39'24.5" 29.8 0.0
12 3 2 325-54'30.0" 17.8 -0.0
4 5 30 079-39'33.0" 7.1 -0.0
4 5 1 117-30'42.5" 13.8 -0.0
Adjusted Coordinates
====================
The adjusted GRID coordinates are show along with the Delta N and Delta E values of the non-fixed control points:
Adjusted Grid Coordinates
Sta. N: E: StErr N: StErr E: DN DE
1 658428.2529 2150182.7047 0.0163 0.0164 -0.0071 0.0047
4 658863.5571 2149911.0253 0.0163 0.0164 0.0071 -0.0047
2 658634.8548 2150389.3067 0.0192 0.0178
5 658554.0988 2149920.9564 0.0178 0.0177
3 658886.9763 2150185.5926 0.0177 0.0189
20 658999.2069 2150111.1980 0.0246 0.0268
21 659096.2313 2150047.5082 0.0336 0.0401
10 658657.0735 2150000.2729 0.0203 0.0194
11 658636.1786 2150124.5275 0.0221 0.0217
12 658742.8499 2150197.8152 0.0224 0.0191
In the Adjusted Coordinates section of the report there is a section displaying the latitude and longitude of the final adjusted points. Additionally the convergence angle, the grid factor, the elevation factor, and the combined factor are displayed for each point. Also calculated is the Average Combined Scale Factor for the project which is useful if you want to scale the grid coordinates to ground.
Adjusted Geographic Coordinates
Sta. Latitude Longitude Conv. Ang. Grid Factor Z Factor Combined Factor
1 31-48'34.11031"N 84-38'16.70951"W -000-14'54.3" 0.99992455 0.99997274 0.99989729
4 31-48'38.40662"N 84-38'19.87996"W -000-14'56.0" 0.99992464 0.99997259 0.99989724
2 31-48'36.16380"N 84-38'14.32554"W -000-14'53.1" 0.99992448 0.99997238 0.99989686
5 31-48'35.34450"N 84-38'19.74929"W -000-14'56.0" 0.99992464 0.99997238 0.99989702
3 31-48'38.65018"N 84-38'16.69910"W -000-14'54.4" 0.99992455 0.99997205 0.99989660
20 31-48'39.75767"N 84-38'17.56692"W -000-14'54.8" 0.99992457 0.99997265 0.99989723
21 31-48'40.71513"N 84-38'18.30993"W -000-14'55.2" 0.99992459 0.99997220 0.99989680
10 31-48'36.36700"N 84-38'18.83526"W -000-14'55.5" 0.99992461 0.99997228 0.99989689
11 31-48'36.16555"N 84-38'17.39419"W -000-14'54.7" 0.99992457 0.99997222 0.99989679
12 31-48'37.22436"N 84-38'16.55020"W -000-14'54.3" 0.99992454 0.99997221 0.99989675
Average Combined Scale Factor: 0.99989695
Error ellipses shown at 95% confidence interval:
Adjusted Coordinates Error Ellipses, 95% CI
Sta. Semi Major Semi Minor Max. Error Az.
Axis Axis
1 0.0420 0.0379 N 47-22'21.7"E
4 0.0420 0.0379 N 47-22'21.7"E
2 0.0502 0.0399 N 35-00'26.0"E
5 0.0458 0.0408 S 44-05'10.1"E
3 0.0466 0.0430 S 70-27'45.8"E
20 0.0658 0.0600 S 80-48'51.3"E
21 0.1031 0.0758 N 62-59'38.9"E
10 0.0512 0.0459 N 32-30'53.2"E
11 0.0560 0.0512 N 39-41'57.3"E
12 0.0549 0.0467 S 01-00'56.8"E
The adjusted distances, angles and reference azimuths are shown:
Adjusted Observations
=====================
Adjusted Distances
From Sta. To Sta. Distance Residual StdRes. StdDev
1 5 290.430 0.009 0.6 0.013
1 2 292.179 -0.004 0.3 0.013
2 3 324.137 -0.016 1.0 0.013
3 4 275.564 -0.011 0.7 0.013
3 20 134.649 -0.000 0.0 0.018
20 21 116.061 0.000 0.0 0.018
4 5 309.618 0.003 0.2 0.012
5 10 129.980 0.009 0.5 0.014
10 11 125.999 0.002 0.1 0.014
11 12 129.421 0.009 0.5 0.014
12 3 144.644 0.008 0.5 0.015
Root Mean Square (RMS) 0.008
Adjusted Angles
BS Sta. Occ. Sta. FS Sta. Angle Residual StdRes StdDev(Sec.)
5 1 2 109-19'20.1" 07.1 0.5 09.1
1 2 3 096-03'42.4" -09.6 0.7 08.8
2 3 4 124-03'46.7" -06.3 0.4 10.5
2 3 20 185-23'56.0" 00.0 0.0 23.7
3 20 21 180-15'26.0" -00.0 0.0 33.9
3 4 5 093-02'13.7" 02.2 0.2 09.5
4 5 10 039-26'36.3" -03.7 0.2 15.8
5 10 11 241-56'25.3" -03.7 0.1 24.0
10 11 12 114-56'42.1" 15.1 0.5 24.8
11 12 3 140-39'42.9" 18.4 0.6 22.8
12 3 2 325-54'33.0" 03.0 0.2 14.3
4 5 1 117-30'57.1" 14.6 1.1 10.3
Root Mean Square (RMS) 09.1
Adjusted Azimuths
Occ. Sta. FS Sta. Bearing Residual StdRes StdDev(Sec.)
1 2 N 45-00'00.0"E 00.0 0.0 04.7
Root Mean Square (RMS) 00.0
Project Statistics are shown:
Statistics
==========
Solution converged in 2 iterations
Total Observations:28
Total Unknowns:20
Degrees of Freedom:8
Observation Count Sum Squares Std. Error
of StdRes of Unit Wt.
Coordinate 4 0.364 0.564
Azimuths: 1 0.000 0.014
Angles: 12 2.878 0.916
Distances: 11 2.923 0.964 (Horizontal)
Total: 28 6.165 0.878
Reference Variance:0.771
Standard Error Unit Weight: (+/-)0.878
Passed the Chi-Square test at the 95.00 significance level
2.180 <= 6.165 <= 17.535
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 are shown:
Sideshots
=========
From To Bearing Dist. N E StDev. N StDev. E
2 6 N 55-32'06.0"E 52.382 658664.4980 2150432.4944 0.0239 0.0233
21 22 N 29-50'10.6"W 50.110 659139.6992 2150022.5773 0.0376 0.0430
10 15 N 86-00'30.8"W 9.999 658657.7695 2149990.2981 0.0237 0.0260
Elevation adjustment report is shown:
LEAST SQUARES VERTICAL ADJUSTMENT REPORT
Wed Oct 12 10:15:00
2D Geodetic Model.
Input Raw Files:
C:\Carlson Projects\cgstar.cgr
Output File: C:\Carlson Projects\cgstar.RPT
Traverse File: C:\Carlson Projects\cgstar.cls
Curvature, refraction correction: ON
VERTICAL BENCHMARKS
Station Elevation Std. Error
1 569.8500 0.040
4 572.9500 0.040
POINTS TO BE ADJUSTED
Station
2,5,3,10,11,12,30
MEASUREMENT SUMMARY
From To Elev. Diff. StdErr
(unadjusted)
1 5 7.5037 0.0200
1 2 7.5659 0.0201
2 3 6.9843 0.0200
3 4 -11.4907 0.0196
4 5 4.3557 0.0206
5 10 2.2639 0.0168
10 11 1.0931 0.0166
11 12 0.3828 0.0167
12 3 3.3590 0.0174
3 30 -7.3173 0.0354
5 30 -0.0329 0.0527
STATISTICAL SUMMARY
Total Unknown Elevations:7
Total Elev. Routes:11
Total Fixed BM's:0
Total non-fixed BM's:2
Degrees of freedom:4
ADJUSTED ELEVATIONS
Station Adjusted Elev Standard Dev. Error Ellipse at 95% CI
1 569.8432 0.04991 0.09782
4 572.9568 0.04991 0.09782
2 577.4358 0.05800 0.11368
5 577.3168 0.05372 0.10528
3 584.4467 0.05573 0.10923
10 579.5885 0.06275 0.12299
11 580.6892 0.06579 0.12895
12 581.0797 0.06379 0.12503
30 577.1915 0.06931 0.13584
ADJUSTED MEASUREMENT SUMMARY
From To Elev. Diff. Residuals Std. Dev.
(adjusted)
1 5 7.4736 -0.0301 0.037
1 2 7.5926 0.0267 0.038
2 3 7.0109 0.0266 0.038
3 4 -11.4899 0.0008 0.036
4 5 4.3600 0.0043 0.036
5 10 2.2717 0.0077 0.037
10 11 1.1007 0.0077 0.037
11 12 0.3905 0.0077 0.037
12 3 3.3670 0.0080 0.037
3 30 -7.2552 0.0621 0.049
5 30 -0.1253 -0.0924 0.052
Vertical Sideshots
Station Elevation
6 577.135
20 571.777
21 581.262
22 580.151
15 579.588