Application of the method of determination of coordinates according to GNSS-observations with binding to the network of active reference stations

Volume І(43), 2022, pp.48-54

Authors:

S. SAVCHUK1, I. PRODANETS2, A. FEDORCHUK1
1 Department of geodesy and astronomy, Lviv Polytechnic National University, 12, S. Bandery str., Lviv, 79013, Ukraine, e-mail alina.v.fedorchuk@lpnu.ua
2 Transcarpathian regional branch of SE “UKRDAGP”, 39, Hrushevskoho str., Mukachevo, Zakarpattia region, 89600, Ukraine

Abstract:

One of the main tasks of geodesy is to determine coordinates with high accuracy using GNSS-observations. To perform such tasks in geodesy usually use the relative method of determining the coordinates in static mode. The technique of the relative method is based on determining the coordinates of an unknown point relative to a known one. The coordinates of the base point must be known, often precisely specified on the basis of the State Geodetic Networks. Static mode of observation is most often used to build geodetic networks, because it has the highest accuracy. In this study, the base points were active reference stations, the coordinates of which are set from the weekly combined solution of the GNSS-network. The purpose of the work is to investigate the accuracy of the application of the method of determining the coordinates according to GNSS-observations with reference to the network of active reference stations. Methodology. The data of GNSS-observations performed at the triangulation points of the State Geodetic Network and data of reference stations are used in the work. Based on these data, conditional GNSS-networks were formed for their processing in the software package, which consisted of three reference stations and one triangulation point. The data processing process assumed that the nearest reference stations were taken as a control point, the specified coordinates of which were recorded as control and set in the ETRS2000 system. The obtained sets of coordinates of the same points and stations were transformed into the USK2000 system. The accuracy of the coordinates determined in this way was analyzed on the basis of coordinate differences and their standard deviations. Differences for reference stations were determined relative to the refined weekly coordinates, and for triangulation points relative to the mean. Results. The obtained differences at the points of the state network are within 1–2 cm, acquiring both positive and negative values. The only exception is the fifth observation session, where the differences are 2–4 cm with a positive sign. At the KOVL reference station, the coordinate differences vary from –1.2 cm to +1.8 cm, and at the MEL2 station from 0 cm to 5.4 cm. Coordinate changes at triangulatio points were estimated by standard deviations of 2.1 cm, 1.1 cm, and 1.9 cm for XYZ, respectively. The accuracy of all other coordinates of the reference stations is 0.3–1.6 cm, with an average range from –2.7 cm to +1 cm. Scientific novelty and practical significance. The paper shows the method of determining the coordinates in the system USK2000 according to GNSS-observations with reference to the network of active reference stations. The proposed technique allows the use of satellite methods to determine the coordinates in the state system USK2000 with an accuracy of 1–2 cm, as well as significantly speed up and speed up the process of field work.

Keywords

GNSS; coordinates; stations; network; accuracy; points.

References

  1. Araszkiewicz A., Bogusz J., Mariusz F., Szafranek K. (2010). Application of Short-time gnss solutions to geodynamical studies. Acta Geodyn. Geomater, 7, 295–302.
  2. Dong-feng R., Yun-peng L., Zhen-li M. (2009). Test and analysis on the errors of GPS observation in mining field. Procedia Earth and Planetary Science 1(1), 1233–1236. DOI: 10.1016/j.proeps.2009.09.189.
  3. Fedorchuk A. (2018). Vykorystannia danykh GNSS-sposterezhen dlia vyznachennia vysot punktiv na fizychnii poverkhni Zemli. Tezy dopovidei “GEOFORUM 2018”. 23-a Mizhnar. nauk.-tekhn. konfer., prysviachena profesiinomu sviatu pratsivnykiv heolohii, heodezii i kartohrafii Ukrainy, 18–20 kvitnia 2018 r., Lviv – Briukhovychi – Iavoriv. Lviv: Vydavnytstvo Lvivskoi politekhniky, 31–32.
  4. Hofmann-Wellenhof B., Lichtenegger H., & Wasle E. (2007). GNSS-global navigation satellite systems: GPS, GLONASS, Galileo, and more. Springer Science & Business Media, 546.
  5. Norman L. J. (2016). Consumer GNSS Receiver Performance for Position and Trajectory Length Estimation (Master’s thesis, Graduate Studies). DOI:10.11575/PRISM/25432.
  6. Savchuk S., Kablak N., Kalynych I., Prodanets I. (2007). Do pytannia tochnosti GPS-sposterezhen. Heodeziia, kartohrafiia i aerofotoznimannia, Vyp. 68, 104–107.
  7. Savchuk S., Zademleniuk A., Vovk R. (2012). Vyznachennia koordynat punktiv u systemi USK2000 iz GPSsposterezhen. Cuchasni dosiahnennia heodezychnoi nauky ta vyrobnytstva, Vyp. II (24), 57–60.
  8. Seeber G. (2003). Satellite Geodesy: 2nd completely revised and extended edition. Günter Seeber. Berlin, New York: Walter de Gruyter, 592.
  9. Stvorennia ta rekonstruktsiia Miskykh heodezychnykh merezh v USK-2000. Instruktsiia / Ukrheodezkartohrafiia. Kyiv, 2007.
  10. Verkhovna Rada Ukrainy (“Pro zatverdzhennia Instruktsii z topohrafichnoho znimannia u masshtabakh 1:5000, 1:2000, 1:1000 ta 1:500” (HKNTA-2.04-02-98)). Ukrheodezkartohrafiia. Nakaz, Instruktsiia vid 9.04.1998 No. 56. URL: https://zakon.rada.gov.ua/ (Access date: May 2021).
  11. Verkhovna Rada Ukrainy (“Pro zatverdzhennia osnovnykh polozhen stvorennia Derzhavnoi heodezychnoi merezhi Ukrainy”). Postanova Kabinetu Ministriv Ukrainy. Polozhennia vid 08.06.1998 No. 844. URL:
    https://zakon.rada.gov.ua/ (Access date: May 2021).
  12. Verkhovna Rada Ukrainy (“Pro zatverdzhennia Poriadku vykorystannia Derzhavnoi heodezychnoi referentsnoi systemy koordynat USK-2000 pry zdiisnenni robit iz zemleustroiu”). Minahropolityky Ukrainy. Nakaz, Poriadok vid 02.12.2016 No. 509. URL: https://zakon.rada.gov.ua/ (Access date: April 2021)
  13. Zaiets I. M. (2013). Obchyslennia parametriv zviazku mizh Derzhavnoiu heodezychnoiu systemoiu UKS2000 ta mizhnarodnymy systemamy ITRS/ITRF2000 i ETRS89/ETRF2000. Heodeziia, kartohrafiia i aerofotoznimannia, Vyp. 77, 106–111.

Full text  pdf  Download