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Estonian Journal of Earth Sciences
ISSN 1736-7557 (Electronic)
ISSN 1736-4728 (Print)
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Estimation of the local tidal parameters h2, l2 for the Riga satellite laser ranging station based on LAGEOS data; pp. 199–205

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Marcin Jagoda, Miłosława Rutkowska


The paper presents estimates of local tidal parameters (Love and Shida numbers) h2, l2 for the Riga (No. 18844401, Latvia) satellite laser ranging station based on LAGEOS-1 and LAGEOS-2 data for a period of 15 years (01.01.2004–01.01.2019). The adjusted values for h2 = 0.6891 ± 0.0009 and l2 = 0.1043 ± 0.0004 are discussed and compared with the nominal values of h2 = 0.6078 and l2 = 0.0847 given in International Earth Rotation and Reference Systems Service standards. The differences of the coordinates of the Riga station in International Terrestrial Reference Frame ITRF2014 evaluated using the nominal and adjusted values of the tidal parameters are 4.4 mm for the X component, 4.7 mm for the Y component and 6.9 mm for the Z component.


Altamimi, Z., Rebischung, P., Métivier, L. & Collilieux, X. 2016. ITRF2014: a new release of the International Terrestrial Reference Frame modeling nonlinear station motions. Journal of Geophysical Research, 121, 6109–6131.

Bizouard, C., Lambert, S., Becker, O. & Richard, J. Y. 2017. Combined Solution C04 for Earth Rotation Parameters Consistent with International Terrestrial Reference Frame 2014. IERS Earth Orientation Product Centre, Observatoire de Paris, France, 15 pp.

Carrère, L., Lyard, F., Cancet, M., Guillot, A. & Picot, N. 2016. Finite element solution FES 2014, a new tidal model – Validation results and perspectives for improvements. Presentation at the ESA Living Planet Conference, Prague 2016.

Folkner, W. M., Charlot, P., Finger, M. H., Williams, J. G., Sovers, O. J., Newhall, X. X. & Standish, E. M. Jr. 1994. Determination of the extragalactic-planetary frame tie from joint analysis of radio interferometric and lunar laser ranging measurements. Astronomy and Astrophysics, 287, 279–289.

Jagoda, M. 2019. Influence of use of different values of tidal parameters h2, l2 on determination of coordinates of SLR stations. Studia Geophysica et Geodaetica, 63, 71–82.

Jagoda, M. & Rutkowska, M. 2016. Estimation of the Love numbers: k2, k3 using SLR data of the LAGEOS1, LAGEOS2, STELLA and STARLETTE satellites. Acta Geodaetica et Geophysica, 51, 493–504.

Jagoda, M., Rutkowska, M. & Kraszewska, K. 2017. The evaluation of time variability of tidal parameters h and l using SLR technique. Acta Geodynamica et Geomaterialia, 14, 153–158.

Jagoda, M., Rutkowska, M., Kraszewska, K. & Suchocki, C. 2018. Time changes of the potential Love tidal parameters k2 and k3. Studia Geophysica et Geodaetica, 62, 586–595.

Lejba, P. & Schillak, S. 2011. Determination of station positions and velocities from laser ranging observations to Ajisai, Starlette and Stella satellites. Advances in Space Research, 47, 654–662.

McCarthy, J. J., Rowton, S., Moore, D., Pavlis, D. E., Luthcke, S. B. & Tsaoussi, L. S. 1993. GEODYN II System Operation Manual, Vols 1–5. STX System Corp. Lanham MD 20706, USA.

Mendes, V. B. & Pavlis, E. C. 2004. High-accuracy zenith delay prediction at optical wavelengths. Geophysical Research Letters, 31, L14602.

Petit, G. & Luzum, B. (eds). 2010. IERS Conventions (IERS Technical Note No. 36). Verlag des Bundesamts für Kartographie und Geodesie, Frankfurt am Main, 179 pp.

Pearlman, M. R., Degnan, J. J. & Bosworth, J. M. 2002. The International Laser Ranging Service. Advances in Space Research, 30, 135–143.

Pearlman, M., Arnold, D., Davis, M., Barlier, F., Biancale, R., Vasiliev, V., Ciufolini, I., Paolozzi, A., Pavlis, E. C., Sośnica, K. & Bloßfeld, M. 2019. Laser geodetic satellites: a high-accuracy scientific tool. Journal of Geodesy,

Ray, R. D. & Ponte, R. M. 2003. Barometric tides from ECMWF operational analyses. Annales Geophysicae, 21, 1897–1910.

Rutkowska, M. & Jagoda, M. 2010. Estimation of the elastic Earth parameters (h2, l2) using SLR data. Advances in Space Research, 46, 859–871.

Rutkowska, M. & Jagoda, M. 2015. SLR technique used for description of the Earth elasticity. Artificial Satellites, 50, 127–141.

Schillak, S. 2004. Analysis of the process of the determination of station coordinates by satellite laser ranging based on results of the Borowiec SLR station in 1993.5-2000.5. Part 2: Determination of the station coordinates. Artificial Satellites, 39, 265–287.

Tapley, B. D., Flechtner, F., Bettadpur, S. V. & Watkins, M. M. 2013. The status and future prospect for GRACE after the first decade. American Geophysical Union, Fall Meeting 2013, abstract G32A-01.

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