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  • 11
    Electronic Resource
    Electronic Resource
    Springer
    Journal of geodesy 70 (1996), S. 603-621 
    ISSN: 1432-1394
    Source: Springer Online Journal Archives 1860-2000
    Topics: Architecture, Civil Engineering, Surveying
    Notes: Summary "Pathological oscillations" of rotating fluids occur when the period of oscillations with respect to a mobile reference frame exceeds half of a rotational period. The oscillations of such kind play an important role in the theory of nutation of a real Earth model with compressible, heterogeneous outer liquid core and solid inner core. In this paper we try to present a sufficiently rigorous description of such oscillations. The full system of two-dimensional solutions is found numerically. Results are presented in form of infinite matrices which connect the coefficients of spherical harmonic expansions of the boundary conditions, pressure, and horizontal components of tidal velocities. The substitution of these known solutions in the three-dimensional equations of motion results in an infinite set of ordinary differential equations which describe the conditions of equilibrium in the radial direction. Below we analize"pathological" oscillations of different kind which are described by this set of equations.
    Type of Medium: Electronic Resource
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  • 12
    Electronic Resource
    Electronic Resource
    Springer
    Journal of geodesy 70 (1996), S. 603-621 
    ISSN: 1432-1394
    Source: Springer Online Journal Archives 1860-2000
    Topics: Architecture, Civil Engineering, Surveying
    Notes: Summary. "Pathological oscillations" of rotating fluids occur when the period of oscillations with respect to a mobile reference frame exceeds half of a rotational period. The oscillations of such kind play an important role in the theory of nutation of a real Earth model with compressible, heterogeneous outer liquid core and solid inner core. In this paper we try to present a sufficiently rigorous description of such oscillations. The full system of two-dimensional solutions is found numerically. Results are presented in form of infinite matrices which connect the coefficients of spherical harmonic expansions of the boundary conditions, pressure, and horizontal components of tidal velocities. The substitution of these known solutions in the three-dimensional equations of motion results in an infinite set of ordinary differential equations which describe the conditions of equilibrium in the radial direction. Below we analize "pathological" oscillations of different kind which are described by this set of equations.
    Type of Medium: Electronic Resource
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  • 13
    Electronic Resource
    Electronic Resource
    Springer
    Journal of geodesy 70 (1996), S. 622-632 
    ISSN: 1432-1394
    Source: Springer Online Journal Archives 1860-2000
    Topics: Architecture, Civil Engineering, Surveying
    Notes: Summary. The domain of the possible values of the mantle's anelasticity parameters and Love numbers based on modern VLBI-data is found. A new method of the joint analysis of VLBI- and tidal data is suggested, which gives possibility to obtain better estimations of the Q-factor of the free core nutation.
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  • 14
    Electronic Resource
    Electronic Resource
    Springer
    General relativity and gravitation 24 (1992), S. 719-727 
    ISSN: 1572-9532
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract In this paper, using a quasi-isotropic from the Kerr metric, we have deduced the equations of motion of a neutral test particle in the gravitational field of a spherical homogeneous rotating body. The perturbation equations of the particle's orbit have also been derived.
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  • 15
    ISSN: 1573-0956
    Source: Springer Online Journal Archives 1860-2000
    Topics: Geosciences , Physics
    Notes: Abstract The cause- or causes-of the excitation of the Chandler wobble is one of the most intriguing problems in geophysics. As a result of one of the most valuable examples of an international programme, the positions of the pole have been determined since the late 19th century with remarkable accuracy. These data have always been accepted as of great importance in the study of the atmosphere, oceans and solid Earth. Recently, new techniques have greatly improved the accuracy with which the polar motion can be determined. Interpretation of the older data was made much more difficult because of their errors-for example the interesting suggestion that earthquakes were a cause of the excitation (by D. E. Smylie and L. Manshinha) could not be tested because their effects, if any, were lost in the noise. With the great improvement in the data it is now possible to suppose that comparable advances will be made in the theoretical interpretation. A discussion meeting at the Royal Astronomical Society on 8 May, 1987 on this topic was held and the following gives a short survey of this topic, consisting of brief summaries given by the speakers. This review is therefore a collective one which it is hoped will make more widely known these great technical advances and to fundamental interest of the phenomena of thepolar motion.
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  • 16
    Electronic Resource
    Electronic Resource
    Springer
    Astrophysics and space science 177 (1991), S. 409-426 
    ISSN: 1572-946X
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract The transition from local horizon and terrestrial BIH-systems to celestial reference frames is well known to be affected by various geodetic parameters such as polar motion (xp(t), yp(t)), UT1-TUC (where UT1 is basically dependent on variations in UT0 and t=time), plumb line deflections (ξ, η) of observation stations, global and local tidal deformations etc. Variations of such quantities with (relative) resolution of the order of 0″.001 and better, such as VLBI, demand the application of continuous high-precision (world-wide) geodynamic surveys whenever global theories and sufficient models are not available and the introduction of improved local and global models (geophysical and relativistic) is needed in order to match astrometric observations related to different reference frames. Prediction of parameters for immediate transformation from one system of reference into the other is sometimes of interest. The paperreviews recent results of different observations,points out a number of still open and unresolved problems in observations and modeling, anddiscusses related consequences. Conclusions for geodynamics drawn from comparison of observed data with models based on astronomical and geophysical observations give way to new understanding of basic phenomena of relevance for various disciplines.
    Type of Medium: Electronic Resource
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  • 17
    Electronic Resource
    Electronic Resource
    Springer
    Studia geophysica et geodaetica 43 (1999), S. 20-34 
    ISSN: 1573-1626
    Keywords: Earth's deep interior ; outer core ; Earth's rotation ; geodynamics ; ocean loading ; core-mantle-boundary ; tidal friction in ocean ; turbulence
    Source: Springer Online Journal Archives 1860-2000
    Topics: Architecture, Civil Engineering, Surveying , Geosciences , Physics
    Notes: Abstract As is known, the secular deceleration of the Earth's diurnal rotation is explained mainly by the tidal friction in the ocean. Below we consider this mechanism in some detail, taking into account also elastic deformations of the mantle under the action of ocean loading and the interaction between the tide-generating body, ocean tidal wave, liquid outer core, and solid inner core. It is shown that elastic displacements of the core-mantle boundary under the action of ocean loading are of about the same amplitude and phase as the elastic loading displacements of the Earth's outer surface. As a result, side by side with the mechanism of secular deceleration of diurnal rotation of the mantle, there are also (1) the opposite mechanism of secular acceleration of diurnal rotation of the outer liquid core and of the solid inner core and (2) the mechanism of excitation of differential rotation in the liquid core. Taking these effects into account, we compare theoretical and modern observed data on the eastward drift of the solid inner core. It is shown that the best agreement may be obtained if the turbulent viscosity of the liquid core is about 2 × 10 3 Poise
    Type of Medium: Electronic Resource
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  • 18
    Electronic Resource
    Electronic Resource
    Springer
    Studia geophysica et geodaetica 38 (1994), S. 117-130 
    ISSN: 1573-1626
    Source: Springer Online Journal Archives 1860-2000
    Topics: Architecture, Civil Engineering, Surveying , Geosciences , Physics
    Notes: Summary Based on the 127th Colloquium Report of the subgroup on coordinate frames and origins of the IAU working group on reference systems, in this paper, the possibility of taking the Celestial Departure Point as the origin of right-ascension on the instantaneous true equator is analysed in view of high-precision geodesy and astrometry. The properties and the applications of the celestial and terrestrial departure points in various aspects of practice and theory are generally reviewed. We have found that, referred to the ideal barycentric reference system proposed in the 127th IAU Colloquium, the Celestial Departure Point of a Quasi-Inertial Geocentric Equatorial Coordinate System may be a matchable origin on the moving geocentric true equator.
    Type of Medium: Electronic Resource
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  • 19
    Electronic Resource
    Electronic Resource
    Springer
    Studia geophysica et geodaetica 43 (1999), S. 129-146 
    ISSN: 1573-1626
    Keywords: Earth rotation ; nutation
    Source: Springer Online Journal Archives 1860-2000
    Topics: Architecture, Civil Engineering, Surveying , Geosciences , Physics
    Notes: Abstract The influence of inerial forces in the mantle on its tidal deformations is considered. It is shown that the main role is played the corrections, described by spheroidal deformations, which result in corrections of nutational amplitudes of about −0.076 mas for the prograde semi-annual component, −0.056 mas for the retrograde annual component, 0.099 mas for the retrograde 19-year component, and −0.024 mas for the prograde 14-day component. These values exceed the errors of modem VLBI-measurements significantly (being of the order of 0.02-0.03 mas with the exception of the main nutational component); the effect of toroidal deformations is negligibly smalt in comparison with the accuracy of the VLBI-measurements, and for any practical purposes need not be considered.
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  • 20
    Electronic Resource
    Electronic Resource
    Springer
    Studia geophysica et geodaetica 43 (1999), S. 275-283 
    ISSN: 1573-1626
    Keywords: Earth rotation ; LOD ; Wavelet ; Fourier ; Maximum entropy
    Source: Springer Online Journal Archives 1860-2000
    Topics: Architecture, Civil Engineering, Surveying , Geosciences , Physics
    Notes: Abstract More than two years of almost continuous polar motion data (obtained by reprocessing GPS-Observations) have been used to analyse the daily/subdaily variations in Earth rotation based on the complex Wavelet-Technique. Systematic and spectral analytical investigations of the degree of variability of periods including tidal have been carried out. Relevant indications of oceanic effects, besides atmospheric components, have been observed.
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