Olsztyn, 24.12.2010
Uniwersytet Warmińsko - Mazurski
Wydział Geodezji i Gospodarki Przestrzennej
Instytut Geodezji
Sprawozdanie 1
Wykonały:
Katarzyna Bagińska
Paulina Budzich
Obliczenia w programie Ashtech Solutions
Punkt R001 przyjęty został jako punkt stały.
Raport z obliczenia współrzędnych
Site Positions
Horizontal Coordinate System: World Geodetic Sys. 1984 Date: 11/08/10
Height System: Ellips. Ht. Project file: spr1.spr
Desired Horizontal Accuracy: 0,020m + 1ppm
Desired Vertical Accuracy: 0,040m + 2ppm
Confidence Level: 95% Err.
Linear Units of Measure: Meters
______________________________________________________________________________________
Site 95% Fix Position
ID Site Descriptor Position Error Status Status
1 2316 Lat. 51° 32' 24,35343” N 0,002 Processed
Lon. 16° 06' 48,13399” E 0,002
Elv. 166,073 0,002
2 BAR1 Lat. 51° 31' 53,23254” N 0,002 Processed
Lon. 16° 11' 08,64900” E 0,002
Elv. 190,212 0,004
3 BAR3 Lat. 51° 31' 45,89768” N 0,002 Processed
Lon. 16° 10' 53,52414” E 0,002
Elv. 181,418 0,002
4 R001 Lat. 51° 32' 13,82067” N 0,000 Fixed Processed
Lon. 16° 10' 27,50965” E 0,000 Fixed
Elv. 198,663 0,000 Fixed
5 R002 Lat. 51° 32' 23,17462” N 0,010 Processed
Lon. 16° 10' 38,54541” E 0,012
Elv. 207,898 0,012
6 R003 Lat. 51° 32' 33,75477” N 0,004 Processed
Lon. 16° 10' 54,97028” E 0,002
Elv. 182,760 0,004
7 ZUK1 Lat. 51° 32' 46,72779” N 0,004 Processed
Lon. 16° 08' 25,36182” E 0,004
Elv. 168,008 0,004
8 ZUK2 Lat. 51° 32' 44,52402” N 0,006 Processed
Lon. 16° 08' 10,26747” E 0,006
Elv. 168,708 0,008
9 ZUK4 Lat. 51° 32' 28,94981” N 0,010 Processed
Lon. 16° 06' 25,68541” E 0,010
Elv. 179,322 0,014
Site Elevation
ID Site Descriptor Factor
1 2316 0,99997398
2 BAR1 0,99997020
3 BAR3 0,99997158
4 R001 0,99996888
5 R002 0,99996743
6 R003 0,99997137
7 ZUK1 0,99997368
8 ZUK2 0,99997357
9 ZUK4 0,99997191
Obliczenia po zmianie wartości punktu stałego R001
B= +0,1 ”
L=-0,1 ”
h =+2 m
Raport z obliczenia współrzędnych
Site Positions
Horizontal Coordinate System: World Geodetic Sys. 1984 Date: 11/08/10
Height System: Ellips. Ht. Project file: spr1.spr
Desired Horizontal Accuracy: 0,020m + 1ppm
Desired Vertical Accuracy: 0,040m + 2ppm
Confidence Level: 95% Err.
Linear Units of Measure: Meters
______________________________________________________________________________________
Site 95% Fix Position
ID Site Descriptor Position Error Status Status
1 2316 Lat. 51° 32' 24,45338” N 0,002 Processed
Lon. 16° 06' 48,03392” E 0,002
Elv. 168,075 0,002
2 BAR1 Lat. 51° 31' 53,33257” N 0,002 Processed
Lon. 16° 11' 08,54900” E 0,002
Elv. 192,211 0,004
3 BAR3 Lat. 51° 31' 45,99771” N 0,002 Processed
Lon. 16° 10' 53,42414” E 0,002
Elv. 183,416 0,002
4 R001 Lat. 51° 32' 13,92067” N 0,000 Fixed Processed
Lon. 16° 10' 27,40965” E 0,000 Fixed
Elv. 200,663 0,000 Fixed
5 R002 Lat. 51° 32' 23,27463” N 0,010 Processed
Lon. 16° 10' 38,44540” E 0,012
Elv. 209,898 0,012
6 R003 Lat. 51° 32' 33,85478” N 0,004 Processed
Lon. 16° 10' 54,87028” E 0,002
Elv. 184,759 0,004
7 ZUK1 Lat. 51° 32' 46,82776” N 0,004 Processed
Lon. 16° 08' 25,26176” E 0,004
Elv. 170,009 0,004
8 ZUK2 Lat. 51° 32' 44,62400” N 0,006 Processed
Lon. 16° 08' 10,16741” E 0,006
Elv. 170,709 0,008
9 ZUK4 Lat. 51° 32' 29,04977” N 0,010 Processed
Lon. 16° 06' 25,58533” E 0,010
Elv. 181,324 0,014
Site Elevation
ID Site Descriptor Factor
1 2316 0,99997367
2 BAR1 0,99996989
3 BAR3 0,99997127
4 R001 0,99996856
5 R002 0,99996712
6 R003 0,99997106
7 ZUK1 0,99997337
8 ZUK2 0,99997326
9 ZUK4 0,99997159
Porównanie powyższych obliczeń:
|
GPPS I wyrównanie |
GPPS II wyrównanie |
||||
Nr punktu |
X |
Y |
Z |
X |
Y |
Z |
2316 |
51° 32' 24,35336'' |
16° 06' 48,23384'' |
166,072 |
51° 32' 24,45336'' |
16° 06' 48,03384'' |
168,072 |
BAR1 |
51 °31' 53,23253'' |
16 °11' 08,64901'' |
190,214 |
51 °31' 53,33253'' |
16 °11' 08,54901'' |
192,214 |
BAR3 |
51 °31' 45,89767'' |
16 °10' 53,52415'' |
181,417 |
51 °31' 45,99767'' |
16 °10' 53,42415'' |
183,417 |
R001 |
51 °32' 13,82067'' |
16° 10' 27,50965'' |
198,663 |
51 °32' 13,92067'' |
16° 10' 27,40965'' |
200,663 |
R002 |
51 °32' 23,06789'' |
16 °10' 38,55021'' |
207,894 |
51 °32' 23,16789'' |
16 °10' 38,45021'' |
209,894 |
R003 |
51 °32' 33,75476'' |
16 °10' 54,97024'' |
182,759 |
51 °32' 33,85476'' |
16 °10' 54,87024'' |
184,759 |
ZUK1 |
51 °32' 46,72773'' |
16 °08' 25,36172'' |
168,009 |
51 °32' 46,82773'' |
16 °08' 25,26172'' |
170,009 |
ZUK2 |
51 °32' 44,52403'' |
16 °08' 10,26641'' |
168,696 |
51 °32' 44,62403'' |
16 °08' 10,16641'' |
170,696 |
ZUK4 |
51 °32' 28,94974'' |
16 °06' 25,68529'' |
179,324 |
51 °32' 29,04974'' |
16 °06' 25,58529'' |
181,324 |
Wektor |
Składowa X |
Składowa Y |
Składowa Z |
Długość wektora |
||||||||
|
I |
II |
Δ=I-II |
I |
II |
Δ=I-II |
I |
II |
Δ=I-II |
I |
II |
Δ=I-II |
ZUK4 - 2316 |
-21,099 |
-21,099 |
0,000 |
444,227 |
444,227 |
0,000 |
-98,727 |
-98,727 |
0,000 |
455,555 |
455,555 |
0,000 |
ZUK4 - BAR1 |
-679,939 |
-679,939 |
0,000 |
5481,018 |
5481,018 |
0,000 |
-678,106 |
-678,107 |
0,001 |
5564,504 |
5564,504 |
0,000 |
ZUK4 - BAR3 |
-433,479 |
-433,479 |
0,000 |
5248,957 |
5248,957 |
0,000 |
-826,016 |
-826,016 |
0,000 |
5331,206 |
5331,206 |
0,000 |
R001 - ZUK4 |
932,401 |
932,401 |
0,000 |
-4582,096 |
-4582,096 |
0,000 |
275,681 |
275,682 |
-0,001 |
4684,119 |
4684,119 |
0,000 |
ZUK4 - R002 |
-1203,543 |
-1203,547 |
0,004 |
4724,909 |
4724,907 |
0,002 |
-88,641 |
-88,642 |
0,001 |
4876,590 |
4876,590 |
0,000 |
ZUK4 - R003 |
-1552,677 |
-1552,677 |
0,000 |
4953,211 |
4953,211 |
0,000 |
95,056 |
95,055 |
0,001 |
5191,738 |
5191,738 |
0,000 |
ZUK4 - ZUK1 |
-1060,585 |
-1060,585 |
0,000 |
2094,125 |
2094,125 |
0,000 |
332,847 |
332,847 |
0,000 |
2370,862 |
2370,862 |
0,000 |
ZUK4 - ZUK2 |
-928,082 |
-928,082 |
0,000 |
1829,663 |
1829,663 |
0,000 |
291,039 |
291,039 |
0,000 |
2072,127 |
2072,127 |
0,000 |
2316 - BAR1 |
-658,840 |
-658,840 |
0,000 |
5036,791 |
5036,791 |
0,000 |
-579,379 |
-579,379 |
0,000 |
5112,633 |
5112,633 |
0,000 |
2316 - BAR3 |
-412,380 |
-412,380 |
0,000 |
4804,730 |
4804,730 |
0,000 |
-727,288 |
-727,288 |
0,000 |
4876,929 |
4876,929 |
0,000 |
R001 - 2316 |
911,302 |
911,302 |
0,000 |
-4137,869 |
-4137,868 |
-0,001 |
176,954 |
176,954 |
0,000 |
4240,724 |
4240,724 |
0,000 |
2316 - R002 |
-1182,447 |
-1182,447 |
0,000 |
4280,681 |
4280,681 |
0,000 |
10,088 |
10,088 |
0,000 |
4441,004 |
4441,003 |
0,001 |
2316 - R003 |
-1531,578 |
-1531,578 |
0,000 |
4508,985 |
4508,985 |
0,000 |
193,785 |
193,785 |
0,000 |
4765,945 |
4765,945 |
0,000 |
2316 - ZUK1 |
-1039,486 |
-1039,486 |
0,000 |
1649,899 |
1649,899 |
0,000 |
431,576 |
431,575 |
0,001 |
1997,237 |
1997,237 |
0,000 |
2316 - ZUK2 |
-906,983 |
-906,983 |
0,000 |
1385,437 |
1385,437 |
0,000 |
389,768 |
389,768 |
0,000 |
1701,168 |
1701,168 |
0,000 |
BAR1 - BAR3 |
246,460 |
246,460 |
0,000 |
-232,061 |
-232,061 |
0,000 |
-147,910 |
-147,910 |
0,000 |
369,422 |
369,422 |
0,000 |
R001 - BAR1 |
252,461 |
252,461 |
0,000 |
898,921 |
898,921 |
0,000 |
-402,424 |
-402,424 |
0,000 |
1016,731 |
1016,731 |
0,000 |
BAR1 - R002 |
-523,605 |
-523,605 |
0,000 |
-756,109 |
-756,109 |
0,000 |
589,464 |
589,464 |
0,000 |
1092,397 |
1092,397 |
0,000 |
BAR1 - R003 |
-872,738 |
-872,738 |
0,000 |
-527,808 |
-527,808 |
0,000 |
773,158 |
773,159 |
-0,001 |
1279,854 |
1279,854 |
0,000 |
BAR1 - ZUK1 |
-380,646 |
-380,646 |
0,000 |
-3386,893 |
-3386,893 |
0,000 |
1010,953 |
1010,953 |
0,000 |
3554,991 |
3554,991 |
0,000 |
BAR1 - ZUK2 |
-248,144 |
-248,143 |
-0,001 |
-3651,356 |
-3651,356 |
0,000 |
969,143 |
969,143 |
0,000 |
3785,923 |
3785,923 |
0,000 |
ZUK2 - BAR3 |
494,604 |
494,603 |
0,001 |
3419,293 |
3419,293 |
0,000 |
-1117,055 |
-1117,055 |
0,000 |
3630,979 |
3630,979 |
0,000 |
R001 - ZUK2 |
4,319 |
4,319 |
0,000 |
-2752,430 |
-2752,430 |
0,000 |
566,720 |
566,720 |
0,000 |
2810,171 |
2810,171 |
0,000 |
ZUK2 - R002 |
-275,464 |
-275,464 |
0,000 |
2895,245 |
2895,245 |
0,000 |
-379,677 |
-379,678 |
0,001 |
2932,998 |
2932,998 |
0,000 |
ZUK2 - R003 |
-624,596 |
-624,596 |
0,000 |
3123,533 |
3123,533 |
0,000 |
-196,006 |
-196,007 |
0,001 |
3191,394 |
3191,394 |
0,000 |
ZUK2 - ZUK1 |
-132,503 |
-132,503 |
0,000 |
264,461 |
264,461 |
0,000 |
41,808 |
41,808 |
0,000 |
298,738 |
298,738 |
0,000 |
ZUK1 - BAR3 |
627,106 |
627,106 |
0,000 |
3154,832 |
3154,832 |
0,000 |
-1158,862 |
-1158,863 |
0,001 |
3418,945 |
3418,945 |
0,000 |
R001 - ZUK1 |
-128,184 |
-128,184 |
0,000 |
-2487,971 |
-2487,971 |
0,000 |
608,528 |
608,528 |
0,000 |
2564,515 |
2564,515 |
0,000 |
ZUK1 - R002 |
-142,957 |
-142,957 |
0,000 |
2630,785 |
2630,785 |
0,000 |
-421,487 |
-421,487 |
0,000 |
2668,167 |
2668,167 |
0,000 |
ZUK1 - R003 |
-492,093 |
-492,093 |
0,000 |
2859,085 |
2859,085 |
0,000 |
-237,793 |
-237,793 |
0,000 |
2910,854 |
2910,854 |
0,000 |
R001 - BAR3 |
498,922 |
498,922 |
0,000 |
666,860 |
666,860 |
0,000 |
-550,334 |
-550,335 |
0,001 |
998,245 |
998,245 |
0,000 |
BAR3 - R002 |
-770,065 |
-770,065 |
0,000 |
-524,049 |
-524,048 |
-0,001 |
737,375 |
737,375 |
0,000 |
1188,002 |
1188,002 |
0,000 |
BAR3 - R003 |
-1119,198 |
-1119,198 |
0,000 |
-295,746 |
-295,746 |
0,000 |
921,070 |
921,070 |
0,000 |
1479,338 |
1479,338 |
0,000 |
R001 - R002 |
-271,145 |
-271,145 |
0,000 |
142,812 |
142,812 |
0,000 |
187,041 |
187,041 |
0,000 |
359,026 |
359,026 |
0,000 |
R001 - R003 |
-620,277 |
-620,276 |
-0,001 |
371,114 |
371,114 |
0,000 |
370,733 |
370,733 |
0,000 |
812,349 |
812,349 |
0,000 |
R002 - R003 |
-349,139 |
-349,139 |
0,000 |
228,259 |
228,259 |
0,000 |
183,627 |
183,627 |
0,000 |
455,762 |
455,762 |
0,000 |
Wnioski:
Wyrównane współrzędne różnią się miedzy sobą o wartości które zostały dodane/ odjęte od współrzędnych punktu stałego R001.
Wartości wektorów między poszczególnymi punktami w obu wyrównaniach różnią się nie znacznie lub w ogóle.
Obliczenia w programie GPPS i porównanie z wynikami z programu Ashtech Solutions
Wektor |
Składowa X |
Składowa Y |
Składowa Z |
Długość wektora |
||||||||
|
Ashteh |
GPPS |
|
Ashteh |
GPPS |
|
Ashteh |
GPPS |
|
Ashteh |
GPPS |
|
ZUK4 - 2316 |
-21,0990 |
-21,1003 |
0,0013 |
444,2270 |
444,2260 |
0,0010 |
-98,7270 |
-98,7293 |
0,0023 |
455,5550 |
455,5540 |
0,0010 |
ZUK4 - BAR1 |
-679,9390 |
-679,9374 |
-0,0016 |
5481,0180 |
5481,0195 |
-0,0015 |
-678,1060 |
-678,1019 |
-0,0041 |
5564,5040 |
5564,5046 |
-0,0006 |
ZUK4 - BAR3 |
-433,4790 |
-433,4790 |
0,0000 |
5248,9570 |
5248,9571 |
-0,0001 |
-826,0160 |
-826,0142 |
-0,0018 |
5331,2060 |
5331,2057 |
0,0003 |
R001 - ZUK4 |
932,4010 |
932,4020 |
-0,0010 |
-4582,0960 |
-4582,0965 |
0,0005 |
275,6810 |
275,6808 |
0,0002 |
4684,1190 |
4684,1202 |
-0,0012 |
ZUK4 - R002 |
-1203,5430 |
-1203,5483 |
0,0053 |
4724,9090 |
4724,9081 |
0,0009 |
-88,6410 |
-88,6405 |
-0,0005 |
4876,5900 |
4876,5912 |
-0,0012 |
ZUK4 - R003 |
-1552,6770 |
-1552,6784 |
0,0014 |
4953,2110 |
4953,2094 |
0,0016 |
95,0560 |
95,0542 |
0,0018 |
5191,7380 |
5191,7366 |
0,0014 |
ZUK4 - ZUK1 |
-1060,5850 |
1060,5843 |
-0,0007 |
2094,1250 |
-2094,1255 |
0,0005 |
332,8470 |
-332,8493 |
0,0023 |
2370,8620 |
2370,8626 |
-0,0006 |
ZUK4 - ZUK2 |
-928,0820 |
-928,0850 |
0,0030 |
1829,6630 |
1829,6473 |
0,0157 |
291,0390 |
291,0358 |
0,0032 |
2072,1270 |
2072,1131 |
0,0139 |
2316 - BAR1 |
-658,8400 |
-658,8375 |
-0,0025 |
5036,7910 |
5036,7932 |
-0,0022 |
-579,3790 |
-579,3730 |
-0,0060 |
5112,6330 |
5112,6339 |
-0,0009 |
2316 - BAR3 |
-412,3800 |
-412,3789 |
-0,0011 |
4804,7300 |
4804,7310 |
-0,0010 |
-727,2880 |
-727,2856 |
-0,0024 |
4876,9290 |
4876,9294 |
-0,0004 |
R001 - 2316 |
911,3020 |
911,3020 |
0,0000 |
-4137,8690 |
-4137,8705 |
0,0015 |
176,9540 |
176,9521 |
0,0019 |
4240,7240 |
4240,7258 |
-0,0018 |
2316 - R002 |
-1182,4470 |
-1182,4484 |
0,0014 |
4280,6810 |
4280,6823 |
-0,0013 |
10,0880 |
10,0885 |
-0,0005 |
4441,0040 |
4441,0052 |
-0,0012 |
2316 - R003 |
-1531,5780 |
-1531,5785 |
0,0005 |
4508,9850 |
4508,9835 |
0,0015 |
193,7850 |
193,7833 |
0,0017 |
4765,9450 |
4765,9434 |
0,0016 |
2316 - ZUK1 |
-1039,4860 |
1039,4839 |
-0,0021 |
1649,8990 |
-1649,8995 |
0,0005 |
431,5760 |
-431,5782 |
0,0022 |
1997,2370 |
1997,2368 |
0,0002 |
2316 - ZUK2 |
-906,9830 |
-906,9853 |
0,0023 |
1385,4370 |
1385,4204 |
0,0166 |
389,7680 |
389,7658 |
0,0022 |
1701,1680 |
1701,1553 |
0,0127 |
BAR1 - BAR3 |
246,4600 |
-246,4588 |
0,0012 |
-232,0610 |
232,0616 |
-0,0006 |
-147,9100 |
147,9117 |
-0,0017 |
369,4220 |
369,4217 |
0,0003 |
R001 - BAR1 |
252,4610 |
252,4639 |
-0,0029 |
898,9210 |
898,9222 |
-0,0012 |
-402,4240 |
-402,4219 |
-0,0021 |
1016,7310 |
1016,7313 |
-0,0003 |
BAR1 - R002 |
-523,6050 |
-523,6093 |
0,0043 |
-756,1090 |
-756,1077 |
-0,0013 |
589,4640 |
589,4625 |
0,0015 |
1092,3970 |
1092,3972 |
-0,0002 |
BAR1 - R003 |
-872,7380 |
-872,7389 |
0,0009 |
-527,8080 |
-527,8092 |
0,0012 |
773,1580 |
773,1550 |
0,0030 |
1279,8540 |
1279,8533 |
0,0007 |
BAR1 - ZUK1 |
-380,6460 |
380,6467 |
0,0007 |
-3386,8930 |
3386,8935 |
-0,0005 |
1010,9530 |
-1010,951 |
-0,0011 |
3554,9910 |
3554,9913 |
-0,0003 |
BAR1 - ZUK2 |
-248,1440 |
-248,1446 |
0,0006 |
-3651,3560 |
-3651,3669 |
0,0109 |
969,1430 |
969,1386 |
0,0044 |
3785,9230 |
3785,9326 |
-0,0096 |
ZUK2 - BAR3 |
494,6040 |
-494,6059 |
-0,0019 |
3419,2930 |
-3419,3099 |
0,0169 |
-1117,055 |
1117,0496 |
0,0054 |
3630,9790 |
3630,9937 |
-0,0147 |
R001 - ZUK2 |
4,3190 |
4,3188 |
0,0002 |
-2752,4300 |
-2752,4445 |
0,0145 |
566,7200 |
566,7171 |
0,0029 |
2810,1710 |
2810,1846 |
-0,0136 |
ZUK2 - R002 |
-275,4640 |
-275,4679 |
0,0039 |
2895,2450 |
2895,2474 |
-0,0024 |
-379,6770 |
-379,6795 |
0,0025 |
2932,9980 |
2933,0013 |
-0,0033 |
ZUK2 - R003 |
-624,5960 |
624,5920 |
-0,0040 |
3123,5330 |
-3123,5652 |
0,0322 |
-196,0060 |
195,9807 |
0,0253 |
3191,3940 |
3191,4234 |
-0,0294 |
ZUK2 - ZUK1 |
-132,5030 |
132,4999 |
-0,0031 |
264,4610 |
-264,4765 |
0,0155 |
41,8080 |
-41,8135 |
0,0055 |
298,7380 |
298,7514 |
-0,0134 |
ZUK1 - BAR3 |
627,1060 |
627,1053 |
0,0007 |
3154,8320 |
3154,8315 |
0,0005 |
-1158,862 |
-1158,863 |
0,0015 |
3418,9450 |
3418,9454 |
-0,0004 |
R001 - ZUK1 |
-128,1840 |
-128,1823 |
-0,0017 |
-2487,9710 |
-2487,9710 |
0,0000 |
608,5280 |
608,5301 |
-0,0021 |
2564,5150 |
2564,5154 |
-0,0004 |
ZUK1 - R002 |
-142,9570 |
-142,9637 |
0,0067 |
2630,7850 |
2630,7843 |
0,0007 |
-421,4870 |
-421,4896 |
0,0026 |
2668,1670 |
2668,1676 |
-0,0006 |
ZUK1 - R003 |
-492,0930 |
-492,0939 |
0,0009 |
2859,0850 |
2859,0838 |
0,0012 |
-237,7930 |
-237,7960 |
0,0030 |
2910,8540 |
2910,8527 |
0,0013 |
R001 - BAR3 |
498,9220 |
498,9231 |
-0,0011 |
666,8600 |
666,8607 |
-0,0007 |
-550,3340 |
-550,3333 |
-0,0007 |
998,2450 |
998,2456 |
-0,0006 |
BAR3 - R002 |
-770,0650 |
-770,0682 |
0,0032 |
-524,0490 |
-524,0473 |
-0,0017 |
737,3750 |
737,3742 |
0,0008 |
1188,0020 |
1188,0031 |
-0,0011 |
BAR3 - R003 |
-1119,1980 |
-1119,1990 |
0,0010 |
-295,7460 |
-295,7475 |
0,0015 |
921,0700 |
921,0675 |
0,0025 |
1479,3380 |
1479,3371 |
0,0009 |
R001 - R002 |
-271,1450 |
-271,1452 |
0,0002 |
142,8120 |
142,8146 |
-0,0026 |
187,0410 |
187,0409 |
0,0001 |
359,0260 |
359,0265 |
-0,0005 |
R001 - R003 |
-620,2770 |
-620,2754 |
-0,0016 |
371,1140 |
371,1134 |
0,0006 |
370,7330 |
370,7349 |
-0,0019 |
812,3490 |
812,3491 |
-0,0001 |
R002 - R003 |
-349,1390 |
349,1322 |
0,0068 |
228,2590 |
-228,3002 |
0,0412 |
183,6270 |
-183,6912 |
0,0642 |
455,7620 |
455,8034 |
-0,0414 |
|
Ashteh |
GPPS |
||||
Nr punktu |
X |
Y |
Z |
X |
Y |
Z |
2316 |
51°32'24,45338” |
16°06'48,03392 |
168,075 |
51° 32' 24,45336'' |
16° 06' 48,03384'' |
168,072 |
BAR1 |
51°31'53,33257” |
16°11'08,54900 |
192,211 |
51 °31' 53,33253'' |
16 °11' 08,54901'' |
192,214 |
BAR3 |
51°31'45,99771” |
16°10'53,42414” |
183,416 |
51 °31' 45,99767'' |
16 °10' 53,42415'' |
183,417 |
R001 |
51°32'13,92067” |
16°10'27,40965” |
200,663 |
51 °32' 13,92067'' |
16° 10' 27,40965'' |
200,663 |
R002 |
51°32'23,27463” |
16°10'38,44540” |
209,898 |
51 °32' 23,16789'' |
16 °10' 38,45021'' |
209,894 |
R003 |
51°32'33,85478” |
16°10'54,87028” |
184,759 |
51 °32' 33,85476'' |
16 °10' 54,87024'' |
184,759 |
ZUK1 |
51°32'46,82776” |
16°08'25,26176” |
170,009 |
51 °32' 46,82773'' |
16 °08' 25,26172'' |
170,009 |
ZUK2 |
51°32'44,62400” |
16°08'10,16741” |
170,709 |
51 °32' 44,62403'' |
16 °08' 10,16641'' |
170,696 |
ZUK4 |
51°32'29,04977” |
16 06'25,58533” |
181,324 |
51 °32' 29,04974'' |
16 °06' 25,58529'' |
181,324 |
Nr punktu |
ΔX |
ΔY |
ΔZ |
2316 |
0,00002” |
0,00008” |
0,003 |
BAR1 |
0,00004” |
-0,00001” |
-0,003 |
BAR3 |
0,00004” |
-0,00001” |
-0,001 |
R001 |
0,00000” |
0,00000” |
0,000 |
R002 |
0,00674” |
-0,00481” |
0,004 |
R003 |
0,00002” |
0,00004” |
0,000 |
ZUK1 |
0,00003” |
0,00004” |
0,000 |
ZUK2 |
-0,00003” |
0,00100” |
0,013 |
ZUK4 |
0,00003” |
0,00004” |
0,000 |
Różnice między współrzędnymi X i Y są nieznaczne, jedynie na punkcie R002 te różnice są większe niż w pozostałych przypadkach. Różnice między współrzędnymi Z wahają się w granicach 3- 4 milimetrach, jedynie na punkcie ZUK2 różnica ta wynosi 13 centymetrów.
Wyrównanie sieci GPS
Dane:
|
ΔX |
ΔY |
ΔZ |
R001 - ZUK1 (R-1) |
-128,18230 |
-2487,97100 |
608,53010 |
R001 - BAR3 (R-2) |
498,92310 |
666,86070 |
-550,33330 |
ZUK1 - BAR3 (1-2) |
627,10530 |
3154,83150 |
-1158,86350 |
|
Współrzędna X |
Współrzędna Y |
Współrzędna Z |
R001 (R) |
3818177,74 |
1107426,815 |
4971091,518 |
ΔX1-R = XR - X1
ΔY1-R = YR - Y1
ΔZ1-R = ZR - Z1
ΔX2-R = XR - X2
ΔY2-R = YR - Y2
ΔZ2-R = ZR - Z2
ΔX1-2 = X2 - X1
ΔY1-2 = Y2 - Y1
ΔZ1-2 = Z2 - Z1
Obliczenie współrzędnych punktów BAR3 i ZUK1
Macierz A
-1 |
0 |
0 |
0 |
0 |
0 |
0 |
-1 |
0 |
0 |
0 |
0 |
0 |
0 |
-1 |
0 |
0 |
0 |
0 |
0 |
0 |
-1 |
0 |
0 |
0 |
0 |
0 |
0 |
-1 |
0 |
0 |
0 |
0 |
0 |
0 |
-1 |
-1 |
0 |
0 |
1 |
0 |
0 |
0 |
-1 |
0 |
0 |
1 |
0 |
0 |
0 |
-1 |
0 |
0 |
1 |
Macierz L
-3818049,55720 |
-1104938,84380 |
-4971700,04820 |
-3818676,66260 |
-1108093,67550 |
-4970541,18480 |
627,1053 |
3154,8315 |
-1158,8635 |
Macierz P
-0,6878 |
0,6804 |
0,7372 |
0,0000 |
0,0000 |
0,0000 |
0,0000 |
0,0000 |
0,0000 |
0,6804 |
-0,6732 |
0,7293 |
0,0000 |
0,0000 |
0,0000 |
0,0000 |
0,0000 |
0,0000 |
0,7372 |
0,7293 |
-0,7902 |
0,0000 |
0,0000 |
0,0000 |
0,0000 |
0,0000 |
0,0000 |
0,0000 |
0,0000 |
0,0000 |
-0,6878 |
0,6804 |
0,7372 |
0,0000 |
0,0000 |
0,0000 |
0,0000 |
0,0000 |
0,0000 |
0,6804 |
-0,6732 |
0,7293 |
0,0000 |
0,0000 |
0,0000 |
0,0000 |
0,0000 |
0,0000 |
0,7372 |
0,7293 |
-0,7902 |
0,0000 |
0,0000 |
0,0000 |
0,0000 |
0,0000 |
0,0000 |
0,0000 |
0,0000 |
0,0000 |
-0,6878 |
0,6804 |
0,7372 |
0,0000 |
0,0000 |
0,0000 |
0,0000 |
0,0000 |
0,0000 |
0,6804 |
-0,6732 |
0,7293 |
0,0000 |
0,0000 |
0,0000 |
0,0000 |
0,0000 |
0,0000 |
0,7372 |
0,7293 |
-0,7902 |
Obliczenie macierzy X
X= -( ATPA)-1ATPL
-3818049,56 |
-1104938,84 |
-4971700,05 |
-3818676,66 |
-1108093,68 |
-4970541,18 |
Macierz V (poprawki)
0,00003 |
0,00007 |
0,00003 |
-0,00003 |
-0,00007 |
-0,00003 |
-0,00003 |
-0,00007 |
-0,00003 |
Wyrównane współrzędne:
X (ZUK1) |
3818049,557 |
Y (ZUK1) |
1104938,844 |
Z (ZUK1) |
4971700,048 |
X (BAR3) |
3818676,663 |
Y (BAR3) |
1108093,675 |
Z (BAR3) |
4970541,185 |
Porównanie współrzędnych punktów obliczonych w programie GPPS i obliczonych powyżej:
Nazwa |
Obliczone |
DPPS |
Δ |
X (ZUK1) |
3818049,55723 |
3818049,55730 |
-0,000067 |
Y (ZUK1) |
1104938,84387 |
1104938,84380 |
0,000067 |
Z (ZUK1) |
4971700,04823 |
4971700,04820 |
0,000033 |
X (BAR3) |
3818676,66257 |
3818676,66260 |
-0,000033 |
Y (BAR3) |
1108093,67543 |
1108093,67550 |
-0,000067 |
Z (BAR3) |
4970541,18477 |
4970541,18480 |
-0,000033 |
Transformacja wysokości elipsoidalnych na wysokości normalne
Dane:
Nazwa punktu |
X |
Y |
wysokość normalna hN |
|
PUNKTY ŁĄCZNE |
||||
302 |
5905432,900 |
4548377,840 |
157,671 |
|
4601 |
5875656,340 |
4541305,510 |
168,280 |
|
4602 |
5875039,830 |
4505969,380 |
151,430 |
|
4603 |
5846168,310 |
4526610,430 |
215,770 |
|
4703 |
5885852,720 |
4575811,070 |
190,980 |
|
4706 |
5842321,300 |
4579446,040 |
119,240 |
|
5604 |
5930106,200 |
4534264,590 |
105,170 |
|
5605 |
5919946,680 |
4504943,640 |
147,738 |
|
układ kartezjański |
||||
|
X |
Y |
Z |
|
302 |
3524523,267 |
1329693,458 |
5129846,189 |
|
4601 |
3549435,600 |
1331903,751 |
5112198,396 |
|
4602 |
3562597,204 |
1299106,768 |
5111466,620 |
|
4603 |
3576818,206 |
1326893,316 |
5094564,240 |
|
4703 |
3529287,256 |
1361058,753 |
5118450,614 |
|
4706 |
3560497,248 |
1377261,534 |
5092521,024 |
|
5604 |
3511015,872 |
1309204,681 |
5144195,680 |
|
5605 |
3529230,471 |
1284864,216 |
5137960,472 |
|
290 |
3540929,042 |
1321014,295 |
5120781,432 |
|
kort |
3541200,085 |
1321072,823 |
5120588,208 |
|
220 |
3541420,551 |
1321239,670 |
5120405,355 |
|
60 |
3541385,835 |
1321066,481 |
5120475,693 |
|
20 |
3541223,103 |
1320851,835 |
5120646,579 |
|
280 |
3541065,186 |
1320643,350 |
5120780,662 |
Wykorzystane wzory i stałe:
a=6 378 137 m
b=6 356 752,314 245 m
e2=0,0066943800
e'2=0,0067394968
Obliczenie B i hE wszystkich punktów
Nazwa punktu |
θ |
B |
λ |
N |
hE |
302 |
0,939000 |
0,940600 |
0,360758 |
6392117,674 |
187,049 |
4601 |
0,934312 |
0,935916 |
0,358984 |
6392021,702 |
198,322 |
4602 |
0,934122 |
0,935727 |
0,349667 |
6392017,805 |
181,481 |
4603 |
0,929650 |
0,931258 |
0,355233 |
6391925,973 |
246,274 |
4703 |
0,935964 |
0,937567 |
0,368072 |
6392055,550 |
220,545 |
4706 |
0,929133 |
0,930742 |
0,369090 |
6391915,347 |
149,354 |
5604 |
0,942844 |
0,944439 |
0,356915 |
6392196,147 |
133,956 |
5605 |
0,941167 |
0,942764 |
0,349148 |
6392161,934 |
177,052 |
290 |
0,936600 |
0,938202 |
0,357078 |
6392068,581 |
137,194 |
kort |
0,936548 |
0,938150 |
0,357067 |
6392067,503 |
143,607 |
220 |
0,936497 |
0,938099 |
0,357088 |
6392066,469 |
152,768 |
60 |
0,936515 |
0,938118 |
0,357048 |
6392066,843 |
154,463 |
20 |
0,936560 |
0,938162 |
0,357010 |
6392067,758 |
157,766 |
280 |
0,936600 |
0,938203 |
0,356973 |
6392068,585 |
135,342 |
Obliczenie Δh dla punktów łącznych
Nazwa punktu |
hE |
hN |
Δh=hN-hE |
302 |
187,049 |
157,671 |
-29,378 |
4601 |
198,322 |
168,280 |
-30,042 |
4602 |
181,481 |
151,430 |
-30,051 |
4603 |
246,274 |
215,770 |
-30,504 |
4703 |
220,545 |
190,980 |
-29,565 |
4706 |
149,354 |
119,240 |
-30,114 |
5604 |
133,956 |
105,170 |
-28,786 |
5605 |
177,052 |
147,738 |
-29,314 |
Obliczenie współczynników a, b, c transformacji
|
1 |
3524523,267 |
1329693,458 |
|
29,378 |
|
1 |
3549435,600 |
1331903,751 |
|
30,042 |
|
1 |
3562597,204 |
1299106,768 |
|
30,051 |
A= |
1 |
3576818,206 |
1326893,316 |
L= |
30,504 |
|
1 |
3529287,256 |
1361058,753 |
|
29,565 |
|
1 |
3560497,248 |
1377261,534 |
|
30,114 |
|
1 |
3511015,872 |
1309204,681 |
|
28,786 |
|
1 |
3529230,471 |
1284864,216 |
|
29,314 |
X=-(ATA)-1ATL
|
55,2974723 |
a |
X= |
-2,3049E-05 |
b |
|
-2,52807E-06 |
c |
Obliczenie wysokości normalnych
Nazwa punktu |
Δh |
hN =Δh+ hE |
290 |
-29,657 |
107,537 |
kort |
-29,663 |
113,944 |
220 |
-29,669 |
123,099 |
60 |
-29,668 |
124,796 |
20 |
-29,663 |
128,102 |
280 |
-29,659 |
105,683 |