E-47011 Valladolid, Spain.
E-mail: pabmar@wmatem.eis.uva.es
E-47005 Valladolid, Spain.
E-mail: getino@hp9000.uva.es
The variation of the different terms of the geopotential due to the tidal deformation of the Earth is usually studied by means of the well--known Love numbers, which are defined in a global way. Starting from the solutions of the elastic equations for the Earth interior, Ferrandiz and Getino (1993, 1994) obtained the tidal variation corresponding to the deformation of the mantle, for a generic term of arbitrary order of the potential. This variation is expressed through some coefficients which can be computed by means of integrals depending on the rheological parameters and functions of them, as the F(r),G(r) and K(r) used by Takeuchi (1951). In this paper, the previous results are extended in order to take into account the effect of the liquid outer core (LOC) and the solid inner core (SIC). Using a similar method, analogous functions F(r),G(r) and K(r) are computed numerically for the LOC and SIC, which is possible due to the so--called ''gyrostatic rigidity'' of the liquid core (Poincare, 1910). With the help of these functions the relevant expressions can be integrated, obtaining the coefficients responsible of the tidal variation of the geopotential due to the deformation of the whole Earth. These coefficients can be considered as extensions of the usual Love numbers. The obtained variations depend entirely on the Earth model used, and can be calculated with a high accuracy. Due to this fact, they could be used as another source of information for the refinement of those models, since they affect directly to observable phenomena, like the orbital motion of satellites.
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