Celestial Mechanics and Dynamical Astronomy

, Volume 57, Issue 1–2, pp 279–292 | Cite as

On the tidal variation of the geopotential

  • José M. Ferrándiz
  • Juan Getino


In this paper analytical expressions are derived for the temporal variations ofJ2 andJ22 due to the tides of the solid Earth, taking into account only the deformation of the mantle, and employing a procedure already used by the authors in their Hamiltonian theory of the Earth's rotation, which obtain the necessary parameters in a direct way by integration of those provided by a selected model of Earth interior.

Numerical tables giving the periodic variation of coefficients are given, as well as a new prediction for ΔUT1. For δJ2 and δJ22 the amplitudes reach such a magnitude that both two variations should not be ignored in studies involving the analysis of highly precise satellite tracking data. Moreover, the possibility of improving our knowledge of the value of those harmonic coefficients in only a more exact digit appears as to be strongly dependent on the limitations in the theoretical modeling of the variations of the inertia tensor due to solid tides.

Key words

Solid tides Earth potential artificial satellites 


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Copyright information

© Kluwer Academic Publishers 1993

Authors and Affiliations

  • José M. Ferrándiz
    • 1
  • Juan Getino
    • 2
  1. 1.Departamento de Matematica Aplicada a la IngenieríaE.T.S. de Ingenieros IndustrialesValladolidSpain
  2. 2.Departamento de Matemática Aplicada FundamentalFacultad de CienciasValladolidSpain

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