Abstract
Based on an analysis of the VLBI observations performed in 1985–2010 within the framework of international geodetic programs on global networks of stations, we have obtained statistically significant corrections to the parameters of lunisolar tides—the nominal complex Love/Shida numbers. The new integral (frequency-independent) values of these parameters (in 10−4) are h (0) = (6113 ± 3) − (33 ± 2)i, l (0) = (843 ± 1) − (5 ± 2)i for a total tide; h (0) = (6106 ± 3) − (10 ± 6)i, l (0) = (843 ± 1) − (8 ± 1)i for diurnal tides; and h (0) = (6106 ± 3) − (24 ± 3)i, l (0) = (843 ± 1) + (3 ± 1)i for semi-diurnal tides. We have detected a new effect of asymmetry in the horizontal tidal displacements in the direction of tectonic motions for 50 VLBI stations. We have determined upper limits for the influence of the frequency-dependent resonance effects whose estimation accuracy is limited by an abundance of close frequencies in their harmonic expansion. The influence of the transfer function for tides on the VLBI observations has turned out to be lower than the measurement accuracy. In future, positional GPS/GLONASS measurements are planned to be used to refine the resonance effects and the transfer function.
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References
D. E. Cartwright and A. C. Edden, Geophys. J. Ros. Astron. Soc. 33, 253 (1973).
G. H. Darwin, The Tides and Kindred Phenomena in the Solar System (Lowell Institute, Boston, MA, 1897; Nauka, Moscow, 1965), p. 185.
V. Dehant, Subroutine to Compute Tidal Corrections of Station Displacements Caused by Lunar and Solar Gravitational Attraction (2010), http://tai.bipm.org/iers/conv2010/conv 2010.c7.html
A. Dziewonski and D. L. Anderson, Phys. Earth Planet. Inter. 25, 297 (1981).
V. S. Gubanov, Generalized Least-Squares Method. Theory and Applications to Astrometry (Nauka, Moscow, 1997), p. 40 [in Russian].
V. S. Gubanov, S. L. Kurdubov, and I. F. Surkis, Tr. IPA RAN 16, 105 (2007).
M. M. Mashimov, Theoretical Geodesy (Nedra, Moscow, 1991), p. 16 [in Russian].
P. M. Mathews, B. A. Buffet, and I. I. Shapiro, Geophys. Res. Lett. 22, 579 (1995); doi: 10.1029/95GL00161.
G. Petit and B. Luzum, IERS Techn. Note 36 (2010, in press). http://www.iers.org/IERS/EN/Publications/TechnicalNotes/tn36.html.
L. Petrov, http://astrogeo.org/petrov/love_numbers.html (2000).
R. D. Ray, R. J. Eanes, and F. G. Lemoine, Geophys. J. Int. 144, 471 (2001).
M. Ryle and V. Elsmore, Mon. Not. R. Astron. Soc. 164, 223 (1973).
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Original Russian Text © V.S. Gubanov, S.L. Kurdubov, 2012, published in Pis’ma v Astronomicheskiĭ Zhurnal, 2012, Vol. 38, No. 6, pp. 452–464.
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Gubanov, V.S., Kurdubov, S.L. Tidal deformations of the earth from VLBI observations. Astron. Lett. 38, 399–410 (2012). https://doi.org/10.1134/S1063773712050027
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DOI: https://doi.org/10.1134/S1063773712050027