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)
342
quasi-geoid passing through the zero level of the
mareograph in Amsterdam is shown in Figure 3.
where:
∆
– height anomaly correction referred to the
Amsterdam system
Figure 3 Normal height correction referred to the
EGM 2008 quasi-geoid to the Amsterdam system.
Table 2 presents differences between the GUGiK
geoid and the EGM 2008 geoid for selected points on
the Baltic shore.
Table 2.
_______________________________________________
B L EGM2008 PL-geoid-2011 Differences
_______________________________________________
54,72 18,46 29,574 29,136 0,438
54,7 18,46 29,595 29,161 0,434
54,69 18,47 29,586 29,153 0,433
54,66 18,46 29,636 29,207 0,429
54,63 18,48 29,632 29,206 0,426
54,64 18,52 29,546 29,119 0,428
54,55 18,56 29,615 29,192 0,423
54,5 18,56 29,710 29,288 0,422
54,44 18,58 29,788 29,371 0,417
54,41 18,66 29,698 29,285 0,413
54,37 18,75 29,626 29,211 0,415
54,35 18,92 29,484 29,057 0,427
54,35 19,18 29,319 28,884 0,435
54,4 19,5 29,045 28,619 0,426
54,34 19,55 29,154 28,731 0,423
54,79 18,42 29,583 29,134 0,449
54,78 18,45 29,533 29,085 0,447
54,75 18,4 29,661 29,216 0,445
54,72 18,41 29,673 29,235 0,439
_______________________________________________
Calculating the height of the sea floor requires the
knowledge of the height difference between the
position of the GNSS antenna and the seabed. It can
be determined with an echo sounder or with other
methods used in underwater mining.
3 SUMMARY AND CONCLUSIONS
The data necessary for the transition between
reference systems is available on the website of the
Head Office of Geodesy and Cartography at the
following address: http://www.gugik.gov.pl/bip/
prawo/modele-danych. The data to determine the
correction to the EGM 2008 geoid in order to calculate
heights in the PL-EVRF2007-NH system can be
extrapolated from the GUGiK model available at
http://www.gugik.gov.pl/__data/assets/text_file/0016/
1843/gugik-evrf2007.txt. The authors estimate that
lthe seabed height in the area of Polish territorial
waters in the PL-EVRF2007-NH frame can be
determined with the accuracy of approximately 10
cm.
LITERATURE
Barlik M., (2000), On the contribution of vertical gravity
gradient anomalies to the separation between the geoid
and Molodensky’s quasigeoid, Reports on Geodesy, no. 2
(50).
Czarnecki K., (2010), Geodezja współczesna w zarysie.
Katowice: Wydawnictwo Gall.
Rogowski J., Specht C., Weintrit A., Leszczyński W., (2015),
Evaluation of Positioning Functionality in ASG EUPOS
for Hydrography and Off-Shore Navigation, TransNav,
the International Journal on Marine Navigation and Safety of
Sea Transportation, Vol. 9 No. 2, pp. 221-227.
Pałczyńska I., (2017), Opracowanie mapy geoidy EGM2008 dla
Zatoki Gdańskiej. (Master’s thesis), Faculty of Navigation,
Gdynia Maritime Academy, Unpublished manuscript.
Przestrzelski P., (2017), Sieciowe pozycjonowanie różnicowe z
wykorzystaniem obserwacji GPS i GLONASS, (Doctoral
dissertation), University of Warmia and Mazury.
Regulation of the Council of Ministers of 15 October 2012 on
the state spatial reference system, Journal of Laws of the
Republic of Poland, Warsaw, 14 November 2012, Item
1247 (in Polish).
Resolution No. 5 of the EUREF Symposium in Tromsø, 22 –
24 June 2000. Available from:
http://www.euref.eu/symposia/book2000/P_340_341.pdf.
Internet sources
http://www.euref.eu/symposia/book2000/P_340_341.pdf.
http://earth-info.nga.mil/GandG/wgs84/gravitymod/
egm2008/.
http://icgem.gfz-potsdam.de/ICGEM/.
http://www.softpedia.com/get/Science-CAD/AllTrans-
EGM2008-Calculator.shtml.
http://www.gugik.gov.pl/bip/prawo/modele-danych.
http://www.gugik.gov.pl/data/assets/text_file/0017/1844/gu
gik-geoid2011.txt
http://www.gugik.gov.pl/data/assets/text_file/0016/1843/gu
gik-evrf2007.txt