BURKORD® COMPUTATIONAL EXAMPLE
This first section is the "header" section.
BURKORD® COMPUTES 3-D COORDINATE GEOMETRY POSITIONS FOR SPATIAL
DATA UTILIZING GPS VECTORS, LOCAL COORDINATE DIFFERENCES AND
3-D SURVEYING MEASUREMENTS.
COPYRIGHT (C) 1997-00 AND USE OF BURKORD® LICENSED TO:
ALL RIGHTS RESERVED BY: Your Name Goes Here
EARL F. BURKHOLDER Company Name Inc.
P.O. BOX 3162 Street Address
LAS CRUCES, NM 88003-3162 Anytown, State Zip-code
USER: EARL F. BURKHOLDER
DATE: JULY 21, 1997
PROGRAM: BURKORD® - VERSION 8F.01, JULY 1997 S/N 8F797XX1
DATA FILE: TESTFILE.DAT
OUTPUT FILE: JULY21-1.OUT
CLIENT/AGENCY: DEMONSTRATION OF BURKORD® COMPUTATIONAL FEATURES
JOB/PROJECT: GPS POINTS AT OREGON'S INSTITUTE OF TECHNOLOGY
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This next section shows how 3-D points are defined.
DEFINE 1 42 15 16.992940 -121 47 9.354220 1297.8660 M STATION K-785
COVAR MATRIX E/N/U/EN/EU/NU .25E-04 .25E-04 .25E-04 .00E+00 .00E+00 .00E+00 METERS SQD
DEFINE X/Y/Z 2 -2490854.5010 M -4019681.2420 M 4267591.4060 M STATION TRIMBLE
COVAR MATRIX E/N/U/EN/EU/NU .25E-04 .25E-04 .10E-01 .00E+00 .00E+00 .00E+00 METERS SQD
DEFINE 3 42 15 15.610090 -121 47 25.985920 1289.8710 M STA MEDIAN-2
COVAR MATRIX E/N/U/EN/EU/NU .10E-01 .10E-01 .10E-01 .00E+00 .00E+00 .00E+00 METERS SQD
DEFINE X/Y/Z 4 -2490534.8630 M -4019658.1960 M 4267850.8380 M STATION PUB
COVAR MATRIX E/N/U/EN/EU/NU .25E-04 .25E-04 .10E-01 .00E+00 .00E+00 .00E+00 METERS SQD
This next section shows the format of points stored in a BURKORD(TM) data base.
A LISTING OF POINTS IN ACTIVE PROJECT IS:
1 -2490977.0480 -4019738.1878 4267460.3843 .00003 .00003 .00003 .00000 .00000 .00000 STATION K-785
2 -2490854.5010 -4019681.2420 4267591.4060 .00154 .00397 .00454 .00245 -.00262 -.00422 STATION TRIMBLE
3 -2491313.1629 -4019556.6822 4267423.4205 .01000 .01000 .01000 .00000 .00000 .00000 STA MEDIAN-2
4 -2490534.8630 -4019658.1960 4267850.8380 .00154 .00397 .00454 .00245 -.00261 -.00422 STATION PUB
The next section shows an expanded listing of stored points.
AN EXPANDED LISTING OF POINTS 1 TO 4
1 STATION K-785 X Y Z E N U
LAT (N+S-) 42 15 16.992939 X: -2490977.0480 X .25E-04 E .25E-04
LON (E+W-) -121 47 9.354221 Y: -4019738.1878 Y .00E+00 .25E-04 N .00E+00 .25E-04
EL HGT 1297.8660 M Z: 4267460.3843 Z .00E+00 .00E+00 .25E-04 U .00E+00 .00E+00 .25E-04
2 STATION TRIMBLE X Y Z E N U
LAT (N+S-) 42 15 22.596449 X: -2490854.5010 X .15E-02 E .25E-04
LON (E+W-) -121 47 6.118987 Y: -4019681.2420 Y .24E-02 .40E-02 N .00E+00 .25E-04
EL HGT 1302.3653 M Z: 4267591.4060 Z -.26E-02 -.42E-02 .45E-02 U .00E+00 .00E+00 .10E-01
3 STA MEDIAN-2 X Y Z E N U
LAT (N+S-) 42 15 15.610089 X: -2491313.1629 X .10E-01 E .10E-01
LON (E+W-) -121 47 25.985922 Y: -4019556.6822 Y .00E+00 .10E-01 N .00E+00 .10E-01
EL HGT 1289.8710 M Z: 4267423.4205 Z .00E+00 .00E+00 .10E-01 U .00E+00 .00E+00 .10E-01
4 STATION PUB X Y Z E N U
LAT (N+S-) 42 15 32.913540 X: -2490534.8630 X .15E-02 E .25E-04
LON (E+W-) -121 46 54.796867 Y: -4019658.1960 Y .24E-02 .40E-02 N .00E+00 .25E-04
EL HGT 1337.7200 M Z: 4267850.8380 Z -.26E-02 -.42E-02 .45E-02 U .00E+00 .00E+00 .10E-01
The next section shows methods of 3-D traverse point to point.
TRAVERSE TO NEW POINTS:
FORWARD BY 3-D DX/DY/DZ 1 TO 102 122.5471 56.9460 131.0224 STA TRIMBLE
COVAR MATRIX DX/DY/DZ/DXY/DXZ/DYZ .36E-04 .16E-04 .25E-04 .00E+00 .00E+00 .00E+00 METERS SQD
FORWARD BY 3-D DE/DN/DU 102 TO 104 259.5629 318.4064 35.3414 STATION PUB
COVAR MATRIX DE/DN/DU/DEN/DEU/DNU .16E-04 .36E-04 .64E-04 .00E+00 .00E+00 .00E+00 METERS SQD
FORWARD BY SDIST/VA/AZ 1 TO 103 383.7760 -1 11 44.0 263 36 56.0 STA MEDIAN-2
SIGMA DIST/VA/AZI - METERS/SEC/SEC .0050 10.00 5.00
COVAR DE/DN/DU/EN,EU,NU .26E-04 .86E-04 .35E-03 -.34E-04 -.67E-05 -.75E-06 METERS SQD
FORWARD BY SDIST/ZD/AZ 103 TO 1004 893.7231 86 56 6.0 53 14 38.0 STATION PUB2
SIGMA DIST/ZEN/AZI - METERS/SEC/SEC .0050 10.00 5.00
COVAR DE/DN/DU/EN,EU,NU .19E-03 .31E-03 .19E-02 -.20E-03 -.79E-04 -.59E-04 METERS SQD
FORWARD BY DPHI/DLAMBDA/DH 1 TO 10004 15.920600 SEC 14.557340 SEC 39.8540 M STA PUB-3
SIGMA LAT/LONG/UP - SEC/SEC/METERS .000100 .000100 .003
COVAR MATRIX DE/DN/DU/DEN/DEU/DNU .53E-05 .95E-05 .90E-05 .00E+00 .00E+00 .00E+00 METERS SQD
The next section shows inverse data between 3-D points.
INVERSE BETWEEN 3-D POINTS:
1 STA K-785
X = -2490977.0480 LAT (N+S-) 42 15 16.992928 +/- .0050 METERS N
Y = -4019738.1880 LON (E+W-) -121 47 9.354217 +/- .0050 METERS E STANDARD DEVIATIONS
Z = 4267460.3840 EL HGT 1297.8660 M +/- .0050 METERS U
DELTA X/Y/Z WITH SIGMAS 122.5471M +/- .009M 56.9460M +/- .008M 131.0224M +/- .009M
DELTA E/N/U WITH SIGMAS 74.1716M +/- .009M 172.9331M +/- .009M 4.4968M +/- .009M
LOCAL PLANE INV: DIST = 188.1682M +/- .009M N AZI. = 23 12 52.77 +/- 10.0 SEC
102 STA TRIMBLE
X = -2490854.5009 LAT (N+S-) 42 15 22.596459 +/- .0070 METERS N
Y = -4019681.2420 LON (E+W-) -121 47 6.118984 +/- .0074 METERS E STANDARD DEVIATIONS
Z = 4267591.4064 EL HGT 1302.3655 M +/- .0069 METERS U
DELTA X/Y/Z WITH SIGMAS -122.5471M +/- .009M -56.9460M +/- .008M -131.0224M +/- .009M
DELTA E/N/U WITH SIGMAS -74.1734M +/- .009M -172.9322M +/- .009M -4.5023M +/- .009M
LOCAL PLANE INV: DIST = 188.1681M +/- .009M N AZI. = 203 12 54.94 +/- 10.0 SEC
1 STA K-785
X = -2490977.0480 LAT (N+S-) 42 15 16.992928 +/- .0050 METERS N
Y = -4019738.1880 LON (E+W-) -121 47 9.354217 +/- .0050 METERS E STANDARD DEVIATIONS
Z = 4267460.3840 EL HGT 1297.8660 M +/- .0050 METERS U
NOTE! THE FORWARD AND REVERSE COMPUTATIONS ON THE SAME LINE HAVE IDENTICAL DELTA X/Y/Z'S
(WITH THE SIGN CHANGED) BUT DIFFERENT DELTA E/N/U'S. THE TWO LINES ARE IN TWO VERY
SLIGHTLY DIFFERENT PLANES.
The next section shows a Point Of Beginning (P.O.B.) listing.
LISTING OF POINTS WITH RESPECT TO MASTER P.O.B: 1 STATION K-785
(ASSUMING POSITION OF P.O.B. IS ERRORLESS WRT THE NETWORK)
NUMBER NORTH SIGMA EAST SIGMA UP SIGMA STATION
2 172.932 .005 74.172 .005 4.496 .100 STATION TRIMBLE
3 -42.666 .100 -381.313 .100 -8.007 .100 STA MEDIAN-2
4 491.343 .005 333.732 .005 39.826 .100 STATION PUB