Earth, Planets and Space

, Volume 52, Issue 11, pp 959–963 | Cite as

Establishment of the three-dimensional kinematic reference frame by space geodetic measurements

Open Access


The purpose of this research is to provide a new algorithm for fixing the three-dimensional kinematic reference frame of space geodetic stations in which only vertical components of quasi-stable site velocities for every X, Y, Z direction are used. This KRF does not depend upon any geological model and, thus, is free from the hidden errors coming from the uncertainties of the reference plate motion model, errors in survey data of selected sites as reference stations and the misfit between the measurements and the model predictions. The method has been applied to the VLBI data collected during the period from 1979 to 1997 analyzed by NASA. We have used for the analysis the estimated rate of change of 340 baseline vectors between 59 VLBI sites. As it is clear from our numerous experiments, this algorithm gives a fairly stable results which are in a good agreement with the NUVEL-1 NNR plate motion model if we include for fixing of KRF even a few sites (15–20 points). In the worst case our results obtained using various criteria for selection of quasi-stable sites have 1 mm/yr level agreement for all sites in the horizontal and vertical directions. The agreement of our results and the NUVEL-1 NNR model is on the order of a few millimeters per year in each coordinate. The largest discrepancies reach 20 mm/yr in the sites close to the plate boundaries. The uncertainties of vertical direction do not exceed 1 mm/yr for half of the sites. As a final result, we do not find any clear evidence suggesting the change of Earth’s radius, which is considerably less than 1 mm/yr.


Global Position System Very Long Baseline Interferometry Satellite Laser Range North American Plate Baseline Vector 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


  1. Argus, D. F. and R. G. Gordon, No-net-rotation model of current plate velocities incorporating, plate motion model NUVEL-1, Geophys. Res. Lett., 18, 2039–2042, 1991.CrossRefGoogle Scholar
  2. Fallon, F. W. and W. H. Dillinger, Crustal velocities from geodetic very long baseline interferometry, J. Geophys. Res., 97(B5), 7129–7136, 1992.CrossRefGoogle Scholar
  3. Gerasimenko, M. D., Modelling of the change of Earth Dimensions and Deformations from Space Tracking Data, Proc. of the CRCM’93, Kobe, Dec. 6–11, 1993, Special Issue of the J. Geod. Soc. Jap., 215–217, Kyoto, 1994.Google Scholar
  4. Gerasimenko, M. D., A few geodetic arguments in the favour of hypothesis of expanding Earth, Far Eastern Mathematical Reports, 3, 69–79, Vladivostok, 1997.Google Scholar
  5. Heki, K., Horizontal and vertical crustal movements from three-dimensional very long baseline interferometry kinematic reference frame: Implication for the reversal timescalerevision, J. Geophys. Res., 101(B2), 3187–3198, 1996.CrossRefGoogle Scholar
  6. Lutes, A., Geometrical Analysis of Earth Deformation from VLBI Data, Proc. of the 8th Int. Symp. on Deformation Measurements, 25–28 June 1996, Hong Kong, 309–316, 1996.Google Scholar
  7. Ma, C. and J. W. Ryan, NASA Space Geodesy Program—GSFC DATA Analysis—1998, VLBI Geodetic Results 1979–1998, August, 1998.Google Scholar
  8. Ma, C., J. W. Rayn, and D. S. Caprette, NASA space geodesy program—GSFC data analysis—1993, VLBI geodetic results 1979–92, NASA Tech. Memo., 1004605, 1994.Google Scholar
  9. Robbins, J. W., D. E. Smith, and C. Ma, Horizontal crustal deformations and large scale plate motions inferred from space geodetic techniques, in Contributions of Space Geodesy to Geodynamics: Crustal Dynamics, Geodynamics 23, edited by D. E. Smith and D. L. Turcotte, pp. 21–36, AGU, Washington, 1993.CrossRefGoogle Scholar
  10. Takahashi, Y., Relation between the station movements by NUVEL-1 model and those observed by VLBI and SLR, J. Geod. Soc. Jap., 40(3), 243–253, 1994.Google Scholar

Copyright information

© The Society of Geomagnetism and Earth, Planetary and Space Sciences (SGEPSS); The Seismological Society of Japan; The Volcanological Society of Japan; The Geodetic Society of Japan; The Japanese Society for Planetary Sciences. 2000

Authors and Affiliations

  1. 1.Institute of Applied MathematicsVladivostokRussia
  2. 2.Earthquake Research InstituteUniversity of TokyoTokyoJapan

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