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ISPITIVANJE PRECIZNOSTI GNSS RTK
MJERNIH SUSTAVA PREMA NORMI ISO
17123-8:2007 PRIMJENOM CROPOS-A
Mladen Zrinjski, uro Barkovi, Lovre Vuli
3. CROPOS konferencija
Opatija, 24.-25. listopada 2013.
3. CROPOS konferencija
Opatija, 24.-25. 10. 2013.
2
Uvod
Norme su isprave dostupne javnosti koje su
odobrile ustanove za normizaciju na
odgovarajuoj razini
Isprave za opu i viekratnu primjenu
Donesene konsenzusom
Jame najbolji stupanj ureenosti u
odreenim okolnostima
Norme su conditio sine qua non suvremenog
poslovanja i trgovine
Broj Oznaka norme Izvorni naziv norme
1. ISO 9849:2000 Optics and optical instruments -- Geodetic and surveying instruments --
Vocabulary
2. ISO 12858-1:1999 Optics and optical instruments -- Ancillary devices for geodetic instruments --
Part 1: Invar levelling staffs
3. ISO 12858-2:1999 Optics and optical instruments -- Ancillary devices for geodetic instruments --
Part 2: Tripods
4. ISO 12858-3:2005 Optics and optical instruments -- Ancillary devices for geodetic instruments --
Part 3: Tribrachs
5. ISO 16331-1:2012 Optics and optical instruments -- Laboratory procedures for testing surveying and
construction instruments -- Part 1: Performance of handheld laser distance meters
6. ISO 17123-1:2010 Optics and optical instruments -- Field procedures for testing geodetic and
surveying instruments -- Part 1: Theory
7. ISO 17123-2:2001 Optics and optical instruments -- Field procedures for testing geodetic and
surveying instruments -- Part 2: Levels
8. ISO 17123-3:2001 Optics and optical instruments -- Field procedures for testing geodetic and
surveying instruments -- Part 3: Theodolites
9. ISO 17123-4:2012
Optics and optical instruments -- Field procedures for testing geodetic and
surveying instruments -- Part 4: Electro-optical distance meters (EDM
measurements to reflectors)
10. ISO 17123-5:2012 Optics and optical instruments -- Field procedures for testing geodetic and
surveying instruments -- Part 5: Total stations
11. ISO 17123-6:2012 Optics and optical instruments -- Field procedures for testing geodetic and
surveying instruments -- Part 6: Rotating lasers
12. ISO 17123-7:2005 Optics and optical instruments -- Field procedures for testing geodetic and
surveying instruments -- Part 7: Optical plumbing instruments
13. ISO 17123-8:2007
Optics and optical instruments -- Field procedures for testing geodetic and
surveying instruments -- Part 8: GNSS field measurement systems in real-time
kinematic (RTK)
3. CROPOS konferencija
Opatija, 24.-25. 10. 2013.
4
Norma ISO 17123-8:2007
28
22
22
RTKGNSSISO
yx
yxxy
rrsss
28
2
RTKGNSSISO
h
h
rs
xyxys 15.1RTKGNSSISO hhs 22.1RTKGNSSISO
70.1~59.0 2RTKGNSSISO
2
RTKGNSSISO
xy
xy
s
s13.2~47.0 2
RTKGNSSISO
2
RTKGNSSISO
h
h
s
s
s xy = 11 mm , s h = 21 mm
5138067.949 523603.217 -206.409 11 21
D j h j Di,j h,i,j
i j k x y h [m] [m] [mm] [mm]
1 1 1 1 5070432.481 459660.027 114.380
2 1 1 2 5070415.560 459670.693 114.390 20.002 0.010 8 -10
3 1 2 1 5070432.471 459660.026 114.382
4 1 2 2 5070415.573 459670.691 114.411 19.982 0.029 -12 9
5 1 3 1 5070432.469 459660.028 114.380
6 1 3 2 5070415.566 459670.688 114.405 19.984 0.025 -11 5
7 1 4 1 5070432.475 459660.024 114.382
8 1 4 2 5070415.556 459670.689 114.393 20.000 0.011 5 -9
9 1 5 1 5070432.468 459660.025 114.385
10 1 5 2 5070415.555 459670.695 114.400 19.997 0.015 3 -5
11 2 6 1 5070432.467 459660.028 114.396
12 2 6 2 5070415.552 459670.681 114.412 19.990 0.016 -4 -4
13 2 7 1 5070432.474 459660.024 114.390
14 2 7 2 5070415.557 459670.689 114.418 19.998 0.028 4 8
15 2 8 1 5070432.472 459660.023 114.371
16 2 8 2 5070415.551 459670.688 114.393 20.002 0.022 7 2
17 2 9 1 5070432.470 459660.026 114.377
18 2 9 2 5070415.554 459670.685 114.412 19.994 0.035 0 15
19 2 10 1 5070432.478 459660.022 114.377
20 2 10 2 5070415.562 459670.683 114.396 19.995 0.019 1 -1
21 3 11 1 5070432.470 459660.023 114.389
22 3 11 2 5070415.555 459670.690 114.414 19.998 0.025 3 5
23 3 12 1 5070432.467 459660.027 114.400
24 3 12 2 5070415.556 459670.685 114.412 19.989 0.012 -5 -8
25 3 13 1 5070432.460 459660.021 114.397
26 3 13 2 5070415.545 459670.684 114.402 19.995 0.005 1 -15
27 3 14 1 5070432.470 459660.025 114.399
28 3 14 2 5070415.551 459670.686 114.418 19.998 0.019 3 -1
29 3 15 1 5070432.468 459660.013 114.389
30 3 15 2 5070415.557 459670.678 114.413 19.993 0.024 -1 4
39 74
Odstupanje
Granina vrijednost [mm]
Mjerenje
[m]
Serijski broj instrumenta: SNo: 4641123721 A priori standardno odstupanje:
Broj
mjerenja
Sesija SetToka r o v e r a
Horizontalna
duljina
Visinska
razlika
Potpuni test za GNSS RTK instrumente prema normi HRN ISO 17123-8:2008 (prva serija mjerenja)
Mjerenja obavio: Lovre Vuli Vremenske prilike: oblano, 3 C
h *= 0,020 m
Datum mjerenja: 26.01.2012. Nominalna horizontalna duljina: D *= 19,995 m
Tip instrumenta: Trimble R8 GNSS Nominalna visinska razlika:
i j k x y h r x r y r h r x r y r h
1 1 1 1 5070432.481 459660.027 114.380 10 3 -6 100 9 36
2 1 1 2 5070415.560 459670.693 114.390 3 6 -16 9 36 256
3 1 2 1 5070432.471 459660.026 114.382 0 2 -4 0 4 16
4 1 2 2 5070415.573 459670.691 114.411 16 4 5 256 16 25
5 1 3 1 5070432.469 459660.028 114.380 -2 4 -6 4 16 36
6 1 3 2 5070415.566 459670.688 114.405 9 1 -1 81 1 1
7 1 4 1 5070432.475 459660.024 114.382 4 0 -4 16 0 16
8 1 4 2 5070415.556 459670.689 114.393 -1 2 -13 1 4 169
9 1 5 1 5070432.468 459660.025 114.385 -3 1 -1 9 1 1
10 1 5 2 5070415.555 459670.695 114.400 -2 8 -6 4 64 36
11 2 6 1 5070432.467 459660.028 114.396 -4 4 10 16 16 100
12 2 6 2 5070415.552 459670.681 114.412 -5 -6 6 25 36 36
13 2 7 1 5070432.474 459660.024 114.390 3 0 4 9 0 16
14 2 7 2 5070415.557 459670.689 114.418 0 2 12 0 4 144
15 2 8 1 5070432.472 459660.023 114.371 1 -1 -15 1 1 225
16 2 8 2 5070415.551 459670.688 114.393 -6 1 -13 36 1 169
17 2 9 1 5070432.470 459660.026 114.377 -1 2 -9 1 4 81
18 2 9 2 5070415.554 459670.685 114.412 -3 -2 6 9 4 36
19 2 10 1 5070432.478 459660.022 114.377 7 -2 -9 49 4 81
20 2 10 2 5070415.562 459670.683 114.396 5 -4 -10 25 16 100
21 3 11 1 5070432.470 459660.023 114.389 -1 -1 3 1 1 9
22 3 11 2 5070415.555 459670.690 114.414 -2 3 8 4 9 64
23 3 12 1 5070432.467 459660.027 114.400 -4 3 14 16 9 196
24 3 12 2 5070415.556 459670.685 114.412 -1 -2 6 1 4 36
25 3 13 1 5070432.460 459660.021 114.397 -11 -3 11 121 9 121
26 3 13 2 5070415.545 459670.684 114.402 -12 -3 -4 144 9 16
27 3 14 1 5070432.470 459660.025 114.399 -1 1 13 1 1 169
28 3 14 2 5070415.551 459670.686 114.418 -6 -1 12 36 1 144
29 3 15 1 5070432.468 459660.013 114.389 -3 -11 3 9 121 9
30 3 15 2 5070415.557 459670.678 114.413 0 -9 7 0 81 49
1 5070432.471 459660.024 114.386
2 5070415.557 459670.687 114.406
984 482 2393
5.93 4.15 9.24
Broj
mjerenja
Sesija SetToka r o v e r a
Rezidual
[mm]
Mjerenje
[m]
Suma kvadrata reziduala
Empirijsko standardno odstupanje, s
Kvadrat reziduala
[mm]
Srednja vrijednost
s xy = 11 mm , s h = 21 mm
5138067.949 523603.217 -206.409 11 21
D j h j Di,j h,i,j
i j k x y h [m] [m] [mm] [mm]
1 1 1 1 5070432.478 459660.023 114.387
2 1 1 2 5070415.558 459670.689 114.390 20.001 0.003 6 -19
3 1 2 1 5070432.474 459660.026 114.382
4 1 2 2 5070415.576 459670.692 114.415 19.983 0.033 -12 11
5 1 3 1 5070432.469 459660.028 114.380
6 1 3 2 5070415.562 459670.688 114.405 19.987 0.025 -8 3
7 1 4 1 5070432.473 459660.025 114.384
8 1 4 2 5070415.556 459670.687 114.392 19.997 0.008 2 -14
9 1 5 1 5070432.468 459660.025 114.385
10 1 5 2 5070415.559 459670.695 114.396 19.994 0.011 -1 -11
11 2 6 1 5070432.471 459660.026 114.391
12 2 6 2 5070415.550 459670.682 114.414 19.997 0.023 2 1
13 2 7 1 5070432.470 459660.024 114.389
14 2 7 2 5070415.557 459670.689 114.418 19.995 0.029 0 7
15 2 8 1 5070432.472 459660.023 114.371
16 2 8 2 5070415.553 459670.687 114.390 19.999 0.019 4 -3
17 2 9 1 5070432.474 459660.026 114.377
18 2 9 2 5070415.554 459670.685 114.403 19.998 0.026 3 4
19 2 10 1 5070432.473 459660.026 114.375
20 2 10 2 5070415.558 459670.683 114.400 19.992 0.025 -3 3
21 3 11 1 5070432.470 459660.023 114.389
22 3 11 2 5070415.558 459670.688 114.417 19.994 0.028 -1 6
23 3 12 1 5070432.471 459660.022 114.396
24 3 12 2 5070415.551 459670.685 114.412 20.000 0.016 5 -6
25 3 13 1 5070432.464 459660.018 114.390
26 3 13 2 5070415.549 459670.683 114.404 19.996 0.014 2 -8
27 3 14 1 5070432.475 459660.022 114.395
28 3 14 2 5070415.555 459670.685 114.422 20.000 0.027 5 5
29 3 15 1 5070432.465 459660.017 114.384
30 3 15 2 5070415.554 459670.679 114.424 19.992 0.040 -3 18
39 74Granina vrijednost