Abstract
Local ties (LTs) at co-located sites are currently used to combine different single-technique solutions to determine global terrestrial reference frames (TRFs). We assess by simulations the impact of different LT standard deviations, biased LTs and a selection of LTs on the datum realization of global TRFs. The simulations are based on Global Positioning System (GPS), Satellite Laser Ranging, and Very Long Baseline Interferometry (VLBI) observations covering the time span 2008–2014. We find that LT standard deviations of 1 cm and better yield differences in the TRF-defining parameters below 1 mm. VLBI is most affected by altering the LT standard deviations, especially in the translations since VLBI is inherently not sensitive to the origin of the TRF. Altering the standard deviations of the LTs applied in ITRF2005, ITRF2008, ITRF2014 results in small differences reaching a maximum of 0.6 mm at the VLBI stations. Simulating technique-wise biased LT stations shows the largest differences in the TRF-defining parameters of more than 2 mm, if all GPS LT stations are biased by 1 cm, proving that GPS plays the major role in the connection of the three techniques. Simulating single biased LT stations by 1 cm in either the north, east, or height component indicates small differences of less than 0.8 mm in the TRF-defining parameters, the largest differences result at LT stations located on the southern hemisphere. The selection of LTs demonstrates that the southern hemisphere LTs are very important, especially for the realization of the scale.
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Abbondanza C, Chin TM, Gross RS, Heflin MB, Parker JW, Soja BS, van Dam T, Wu X (2017) JTRF2014, the JPL Kalman filter and smoother realization of the International Terrestrial Reference System. J Geophys Res Solid Earth 122(10):8474–8510. https://doi.org/10.1002/2017JB014360
Altamimi Z, Collilieux X (2009) IGS contribution to the ITRF. J Geod 83(3):375–383. https://doi.org/10.1007/s00190-008-0294-x
Altamimi Z, Sillard P, Boucher C (2002) ITRF2000: A new release of the International Terrestrial Reference Frame for earth science applications. J Geophys Res 107(B10):2214. https://doi.org/10.1029/2001JB000561
Altamimi Z, Collilieux X, Legrand J, Garayt B, Boucher C (2007) ITRF2005: A new release of the International Terrestrial Reference Frame based on time series of station positions and Earth Orientation Parameters. J Geophys Res 112(B09):401. https://doi.org/10.1029/2007JB004949
Altamimi Z, Collilieux X, Métivier L (2011) ITRF2008: an improved solution of the International Terrestrial Reference Frame. J Geod 85(8):457–473. https://doi.org/10.1007/s00190-011-0444-4
Altamimi Z, Rebischung P, Métivier L, Collilieux X (2016a) ITRF2014: A new release of the International Terrestrial Reference Frame modeling nonlinear station motions. J Geophys Res Solid Earth. https://doi.org/10.1002/2016JB013098
Altamimi Z, Rebischung P, Métivier L, Collilieux X (2016b) ITRF2014 and the IGS contribution. In: IGS Workshop, Sydney, 8–12 February 2016.http://www.igs.org/assets/pdf/W2016%20-%20PY0606%20-%20Altamimi.pdf. Accessed 20 Aug 2018
Bar-Sever Y, Haines B, Heflin M, Kuang D, Sibois A, Nerem R (2015) GRASP 2015—revised design and data analysis for a mission to improve the terrestrial reference frame. In: Abstract IUGG-4145 presented at 26th IUGG general assembly 2015, Prague, Czech Republic, June 22–July 2. http://tinyurl.com/gvpo3fh. Accessed 20 Aug 2018
Biancale R (2016) E-GRASP/Eratosthenes: a satellite mission proposal submitted to the ESA/Earth Explorer-9 call. In: Abstract presented at first international workshop on VLBI observations of near-field targets 2016, Bonn, Germany, October 5–October 6. http://www3.mpifr-bonn.mpg.de/div/meetings/vonft/pdf-files/talks/EGRASP_Eratosthenes_Biancale.pdf. Accessed 20 Aug 2018
Bizouard C, Gambis D (2011) Combined solution C04 for Earth Rotation Parameters consistent with International Terrestrial Reference Frame 2014. http://hpiers.obspm.fr/iers/eop/eopc04/C04.guide.pdf. Accessed 20 Aug 2018
Boucher C, Pearlman M, Sarti P (2015) Global geodetic observatories. Adv Space Res 55(1):24–39. https://doi.org/10.1016/j.asr.2014.10.011
Dow J, Neilan R, Rizos C (2009) The International GNSS Service in a changing landscape of Global Navigation Satellite Systems. J Geod 83(3):191–198. https://doi.org/10.1007/s00190-008-0300-3
Glaser S, Fritsche M, Sośnica K, Rodríguez-Solano CJ, Wang K, Dach R, Hugentobler U, Rothacher M, Dietrich R (2015) A consistent combination of GNSS and SLR with minimum constraints. J Geod 89(12):1165–1180. https://doi.org/10.1007/s00190-015-0842-0
Glaser S, Fritsche M, Sośnica K, Rodríguez-Solano CJ, Wang K, Dach R, Hugentobler U, Rothacher M, Dietrich R (2015) Validation of components of local ties. Springer, Cham, pp 21–28. https://doi.org/10.1007/1345_2015_190
Glaser S, Ampatzidis D, König R, Nilsson T, Heinkelmann R, Flechtner F, Schuh H (2016) Simulation of VLBI observations to determine a global TRF for GGOS. In: Freymueller JT, Sánchez L (eds) International Symposium on Earth and Environmental Sciences for Future Generations. International Association of Geodesy Symposia, vol 147. Springer, Cham, pp 3–9. https://doi.org/10.1007/1345_2016_256
Glaser S, König R, Ampatzidis D, Nilsson T, Heinkelmann R, Flechtner F, Schuh H (2017) A Global Terrestrial Reference Frame from simulated VLBI and SLR data in view of GGOS. J Geod 91(7):723–733. https://doi.org/10.1007/s00190-017-1021-2
Gross R, Beutler G, Plag HP (2009) Integrated scientific and societal user requirements and functional specifications for the GGOS. In: Plag H-P, Pearlman M (eds) Global Geodetic Observing System: meeting the requirements of a global society on a changing planet in 2020. Springer, Berlin, pp 209–224. https://doi.org/10.1007/978-3-642-02687-4_7
Kallio U, Poutanen M (2012) Can we really promise a mm-accuracy for the local ties on a geo-VLBI antenna. Springer, Berlin, pp 35–42. https://doi.org/10.1007/978-3-642-20338-1_5
Koch KR (1999) Parameter estimation and hypothesis testing in linear models, 2nd edn. Springer, Berlin. https://doi.org/10.1007/978-3-662-03976-2 (original German edition published by Dümmler, Bonn)
Lösler M, Haas R, Eschelbach C (2016) Terrestrial monitoring of a radio telescope reference point using comprehensive uncertainty budgeting. J Geod 90(5):467–486. https://doi.org/10.1007/s00190-016-0887-8
Männel B, Thaller D, Rothacher M, Böhm J, Müller J, Glaser S, Dach R, Biancale R, Bloßfeld M, Kehm A, Herrera Pinzón I, Hofmann F, Andritsch F, Coulot D, Pollet A (2018) Recent activities of the GGOS standing committee on performance simulations and architectural trade-offs (PLATO). Springer, Berlin, pp 1–4. https://doi.org/10.1007/1345_2018_30
Niemeier W (2008) Ausgleichungsrechnung: statistische Auswertemethoden. Walter de Gruyter, Berlin. ISBN 978-3-11-020678-4. https://www.degruyter.com/view/product/21668
Nilsson T, Soja B, Karbon M, Heinkelmann R, Schuh H (2015) Application of Kalman filtering in VLBI data analysis. Earth Planets Space 67(1):1–9. https://doi.org/10.1186/s40623-015-0307-y
Nothnagel A et al (2015) The IVS data input to ITRF2014. International VLBI service for geodesy and astrometry, GFZ data services. https://doi.org/10.5880/GFZ.1.1.2015.002
Pearlman M, Degnan J, Bosworth J (2002) The International Laser Ranging Service. Adv Space Res 30(2):135–143. https://doi.org/10.1016/S0273-1177(02)00277-6
Ray J, Altamimi Z (2005) Evaluation of co-location ties relating the VLBI and GPS reference frames. J Geod 79(4–5):189–195. https://doi.org/10.1007/s00190-005-0456-z
Sarti P, Sillard P, Vittuari L (2004) Surveying co-located space-geodetic instruments for ITRF computation. J Geod 78(3):210–222. https://doi.org/10.1007/s00190-004-0387-0
Sarti P, Abbondanza C, Altamimi Z (2013) Local ties and co-location sites: some considerations after the release of ITRF2008. In: Altamimi Z, Collilieux X (eds) Reference Frames for Applications in Geosciences. International Association of Geodesy Symposia, vol 138. Springer, Berlin, Heidelberg, pp 75–80. https://doi.org/10.1007/978-3-642-32998-2_13
Schuh H, Behrend D (2012) VLBI: A fascinating technique for geodesy and astrometry. J Geodyn 61:68–80. https://doi.org/10.1016/j.jog.2012.07.007
Schuh H, König R, Ampatzidis D, Glaser S, Flechtner F, Heinkelmann R, Nilsson TJ (2015) GGOS-SIM: simulation of the reference frame for the global geodetic observing system. In: van Dam T (ed) REFAG 2014. International Association of Geodesy Symposia, vol 146. Springer, Cham, pp 95–100. https://doi.org/10.1007/1345_2015_217
Seitz M, Angermann D, Bloßfeld M, Drewes H, Gerstl M (2012) The 2008 DGFI realization of the ITRS: DTRF2008. J Geod 86(12):1097–1123. https://doi.org/10.1007/s00190-012-0567-2
Seitz M, Angermann D, Blofeld M, Gerstl M, Müller H (2015) ITRS Combination Centres-Deutsches Geodätisches Forschungsinstitut (DGFI). In: Dick WR, Thaller D (eds) International Earth Rotation and Reference Systems Service, Central Bureau. Frankfurt am Main: Verlag des Bundesamts für Kartographie und Geodäsie, pp 130–135. ISBN 978-3-86482-087-8. https://www.iers.org/IERS/EN/Publications/AnnualReports/AnnualReport2015.html
Seitz M, Bloßfeld M, Angermann D, Schmid R, Gerstl M, Seitz F (2016) The new DGFI-TUM realization of the ITRS: DTRF2014 (data). Deutsches Geodätisches Forschungsinstitut, Munich. https://doi.org/10.1594/PANGAEA.864046
Thaller D, Dach R, Seitz M, Beutler G, Mareyen M, Richter B (2011) Combination of GNSS and SLR observations using satellite co-locations. J Geod 85(5):257–272. https://doi.org/10.1007/s00190-010-0433-z
Zhu S, Reigber C, König R (2004) Integrated adjustment of CHAMP, GRACE, and GPS data. J Geod 78(1–2):103–108. https://doi.org/10.1007/s00190-004-0379-0
Acknowledgements
This work has been supported by the German Research Foundation (DFG) under Grant Number SCHU 1103/8-1 (GGOS-SIM, Simulation of the Global Geodetic Observing System) and by the Helmholtz-Gemeinschaft Deutscher Forschungszentren e.V. under Grant Number ZT-0007 (ADVANTAGE, Advanced Technologies for Navigation and Geodesy). The IGS (Dow et al. 2009), the IVS (Schuh and Behrend 2012; Nothnagel et al. 2015), and the ILRS (Pearlman et al. 2002) are acknowledged for providing data used within this study. The authors would like to thank Claudio Abbondanza and two anonymous reviewers for their valuable comments on the manuscript.
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Glaser, S., König, R., Neumayer, K.H. et al. On the impact of local ties on the datum realization of global terrestrial reference frames. J Geod 93, 655–667 (2019). https://doi.org/10.1007/s00190-018-1189-0
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DOI: https://doi.org/10.1007/s00190-018-1189-0