Abstract
The World Geodetic System 1984 (WGS84) has been consistent with the International Terrestrial Reference Frame (ITRF) since 1994. After the original release of WGS84 in 1987 by the Defense Mapping Agency (since superseded by the National Geospatial-Intelligence Agency, NGA), there have been six subsequent realizations of the frame, designated WGS84 (G730), WGS84 (G873), WGS84 (G1150), WGS84 (G1674), WGS84 (G1762), and WGS84 (G2139). Users of WGS84 often fail to document metadata indicating the realization and epoch related to their data collections. As a result, when transforming between realizations or between other reference frames, the transformation can lead to incorrect results. We aim to bring awareness to the nature of WGS84 and the ambiguity in how it is defined. An internally consistent set of transformation parameters is derived that allows for transformation between the WGS84 realizations and other global reference frames while accounting for nuances and inconsistencies in the published literature. The derivations are based on existing (though not easily discoverable) information. Transformation accuracy is evaluated through comparison to other software and NGA-published GPS tracking station coordinates. After accounting for plate tectonic motion, the estimated uncertainties average horizontally and vertically for transformations involving all realizations other than the original WGS84. Uncertainties are at the meter level for transformations that include the original WGS84. If plate motion is ignored, the horizontal uncertainties can increase by several decimeters, depending on location within a plate.
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Data Availability Statement
All data, models, and code generated or used during the study appear in the published article.
Acknowledgments
We wish to thank Dr. Dana Caccamise of NGS for his comments and suggestions and Jane Darbyshire of Environmental Systems Research Institute for editing the text of this article. We also thank the two anonymous reviewers for their comments which improved this manuscript.
References
Altamimi, Z., L. Métivier, and X. Collilieux. 2012. “ITRF2008 plate motion model.” J. Geophys. Res. Solid Earth 117 (7): B707402. https://doi.org/10.1029/2011JB008930.
Altamimi, Z., P. Rebischung, L. Métivier, and X. Collilieux. 2016. “ITRF2014: A new release of the international terrestrial reference frame modeling nonlinear station motions.” J. Geophys. Res. Solid Earth 121 (8): 6109–6131. https://doi.org/10.1002/2016JB013098.
Altamimi, Z., P. Sillard, and C. Boucher. 2002. “ITRF2000: A new release of the International Terrestrial Reference Frame for earth science applications.” J. Geophys. Res. 107 (10): 2214.
Argus, D. F., and R. G. Gordon. 1991. “No-net-rotation model of current plate velocities incorporating plate motion model NUVEL-1.” Geophys. Res. Lett. 18 (11): 2039–2042. https://doi.org/10.1029/91GL01532.
Argus, D. F., and R. G. Gordon. 1996. “Tests of the rigid-plate hypothesis and bounds on intraplate deformation using geodetic data from very long baseline interferometry.” J. Geophys. Res. Solid Earth 101 (6): 13555–13572. https://doi.org/10.1029/95JB03775.
Boucher, C., Z. Altamimi, and L. Duhem. 1993. “ITRF 92 and its associated velocity field.” Accessed May 25, 2021. https://www.iers.org/SharedDocs/Publikationen/EN/IERS/Publications/tn/TechnNote15/tn15.pdf?__blob=publicationFile&v=1.
Boucher, C., Z. Altamimi, P. Sillard, and M. Feissel-Vernier. 2004. “The ITRF2000.” Accessed May 25, 2021. https://www.iers.org/SharedDocs/Publikationen/EN/IERS/Publications/tn/TechnNote31/tn31.pdf?__blob=publicationFile&v=1.
Deakin, R. E. 2006. A note on the Bursa–Wolf and Molodensky–Badekas transformations, 1–21. Melbourne, Australia: RMIT Univ.
DeMets, C., R. G. Gordon, D. F. Argus, and S. Stein. 1994. “Effect of recent revisions to the geomagnetic reversal time scale on estimates of current plate motions.” Geophys. Res. Lett. 21 (20): 2191–2194. https://doi.org/10.1029/94GL02118.
DMA (Defense Mapping Agency). 1987. “Supplement to department of defense world geodetic system 1984 technical report, Part II: Parameters, formulas, and graphics for the practical application of WGS 84.” Accessed December 28, 2020. https://earth-info.nga.mil/GandG/publications/tr8350.2/TR8350.2-b/DMA%20TR8350.pdf.
DMA (Defense Mapping Agency). 1991. “Department of Defense World Geodetic System 1984: Its definition and relationships with local geodetic systems.” Accessed May 25, 2021. https://apps.dtic.mil/dtic/tr/fulltext/u2/a280358.pdf.
ICSM (Intergovernmental Committee on Surveying and Mapping). 2014. “Geocentric datum of Australia technical manual.” Accessed May 25, 2021. https://www.icsm.gov.au/sites/default/files/2017-09/gda-v_2.4_0.pdf.
IERS (International Earth Rotation and Reference Frame Service). 2020. “IERS technical notes.” Accessed May 25, 2021. https://www.iers.org/IERS/EN/Publications/TechnicalNotes/TechnicalNotes.html.
IGN (Institut Géographique National). 2020. “Transformation parameters.” Accessed May 25, 2021. https://itrf.ign.fr/trans_para.php.
ISO. 2020. “ISO geodetic registry.” Accessed May 25, 2021. https://geodetic.isotc211.org/.
Kreemer, C., W. E. Holt, and A. J. Haines. 2003. “An integrated global model of present-day plate motions and plate boundary deformation.” Geophys. J. Int. 154 (1): 8–34. https://doi.org/10.1046/j.1365-246X.2003.01917.x.
LINZ (Land Information New Zealand). 2008. “New Zealand geodetic datum 2000: LINZG25700.” Accessed May 25, 2021. https://www.linz.govt.nz/regulatory/25700.
Malys, S., and J. Slater. 1994. “Maintenance and enhancement of the world geodetic system 1984.” In Proc., 7th Int. Technical Meeting of the Satellite Division of the Institute of Navigation (ION GPS 1994), 17–24. Salt Lake City, UT: Institute of Navigation.
Malys, S., R. Solomon, J. Drotar, T. Kawakami, and T. Johnson. 2021. “Compatibility of terrestrial reference frames used in GNSS broadcast messages during an 8 week period of 2019.” Adv. Space Res. 67 (2): 834–844.
Malys, S., R. Wong, and S. A. True. 2016. “The WGS 84 terrestrial reference frame in 2016.” Accessed September 2, 2021. https://www.unoosa.org/pdf/icg/2016/icg11/wgd/02wgd.pdf.
McCarthy, D. D. 1992. “IERS standards.” Accessed May 25, 2021. https://www.iers.org/SharedDocs/Publikationen/EN/IERS/Publications/tn/TechnNote13/tn13.pdf?__blob=publicationFile&v=1.
Merrigan, M. J., E. R. Swift, R. F. Wong, and J. T. Saffel. 2002. “A refinement to the World Geodetic System 1984 reference frame.” In Proc., 15th Int. Technical Meeting of the Satellite Division of the Institute of Navigation (ION GPS 2002), 1519–1529. Portland, OR: Institute of Navigation.
Minster, J. B., and T. H. Jordan. 1978. “Present-day plate motions.” J. Geophys. Res. Solid Earth 83 (11): 5331–5354. https://doi.org/10.1029/JB083iB11p05331.
National Coordination Office for Space-Based Positioning, Navigation, and Timing. 2018. “Selective availability.” Accessed May 25, 2021. https://www.gps.gov/systems/gps/modernization/sa/.
NGA (National Geospatial-Intelligence Agency). 2014. “World Geodetic System 1984: Its definition and relationships with local geodetic systems.” Accessed May 25, 2021. https://earth-info.nga.mil/index.php?dir=wgs84&action=wgs84/.
NGA (National Geospatial-Intelligence Agency). 2021. “(U) recent update to WGS 84 reference frame and NGA transition to IGS ANTEX, office of geomatics/GNSS division.” Accessed September 2, 2021. https://earth-info.nga.mil/php/download.php?file=(U)WGS%2084(G2139).pdf.
NGS (National Geodetic Survey). 2021. “HTDP—Horizontal time-dependent positioning.” Accessed May 25, 2021. https://geodesy.noaa.gov/TOOLS/Htdp/Htdp.shtml.
NIMA (National Imagery and Mapping Agency). 2004. “Department of Defense World Geodetic System 1984: Its definition and relationships with local geodetic systems.” Accessed May 25, 2021. ftp://ftp.nga.mil/pub2/gandg/website/publications/tr8350.2/.
Pearson, C., and R. A. Snay. 2012. “Introducing HTDP 3.1 to transform coordinates across time and spatial reference frames.” GPS Solutions 17 (1): 1–15. https://doi.org/10.1007/s10291-012-0255-y.
Petit, G., and B. Luzum. 2010. “IERS conventions (2010).” Accessed May 25, 2021. https://www.iers.org/IERS/EN/Publications/TechnicalNotes/tn36.html?nn=94912.
Rapp, R. H. 1993. “Geometric geodesy: Part II.” Accessed May 25, 2021. https://kb.osu.edu/handle/1811/24409.
Ray, J., Z. Altamimi, X. Collilieux, and T. van Dam. 2008. “Anomalous harmonics in the spectra of GPS position estimates.” GPS Solutions 12 (1): 55–64. https://doi.org/10.1007/s10291-007-0067-7.
Schwarz, C. R., and E. B. Wade. 1990. “The North American datum of 1983: Project methodology and execution.” Bulletin Géodésique 64 (1): 28–62. https://doi.org/10.1007/BF02530614.
Soler, T., and J. Marshall. 2002. “Rigorous transformation of variance–covariance matrices of GPS-derived coordinates and velocities.” GPS Solutions 6 (1–2): 76–90. https://doi.org/10.1007/s10291-002-0019-1.
Steed, J. B., and G. Luton. 2000. “WGS84 and the geocentric datum of Australia.” In Proc., 13th Int. Technical Meeting of the Satellite Division of the Institute of Navigation (ION GPS 2000), 432–437. Salt Lake City, UT: Institute of Navigation.
Swift, E. R. 1994. “Improved WGS 84 coordinates for the DMA and Air Force GPS tracking stations.” In Proc., 7th Int. Technical Meeting of the Satellite Division of the Institute of Navigation (ION GPS 1994), 285–292. Salt Lake City, UT: Institute of Navigation.
Swift, E. R. 2018. “History of satellite orbit determination at NSWCDD.” Accessed May 25, 2021. https://apps.dtic.mil/sti/citations/AD1053094.
Teunissen, P. J. G., and O. Montenbruck. 2017. Springer handbook of global navigation satellite systems. New York: Springer.
True, S. A. 2004. “Planning the future of the World Geodetic System 1984.” In Proc., Position location and navigation symposium (PLANS 2004), 639–648. Monterey, CA: Institute of Electrical and Electronics Engineers.
UNAVCO. 2019. “Plate motion calculator.” Accessed May 25, 2021. https://www.unavco.org/software/geodetic-utilities/plate-motion-calculator/plate-motion-calculator.html.
Wong, R. F., C. M. Rollins, and C. F. Minter. 2012. “Recent updates to the WGS 84 reference frame.” In Proc., 25th Int. Technical Meeting of the Satellite Division of the Institute of Navigation (ION GNSS 2012), 1164–1172. Nashville, TN: Institute of Navigation.
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© 2021 American Society of Civil Engineers.
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Received: May 26, 2021
Accepted: Sep 30, 2021
Published online: Dec 16, 2021
Published in print: May 1, 2022
Discussion open until: May 16, 2022
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