Astronomy and Astrophysics – Astronomy
Scientific paper
Oct 1993
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1993cemda..57..279f&link_type=abstract
Celestial Mechanics and Dynamical Astronomy (ISSN 0923-2958), vol. 57, no. 1-2, p. 279-292
Astronomy and Astrophysics
Astronomy
8
Dynamic Models, Earth Planetary Structure, Earth Rotation, Earth Tides, Geopotential, Periodic Variations, Satellite Tracking, Temporal Distribution, Deformation, Earth Mantle, Hamiltonian Functions, Mathematical Models
Scientific paper
In this paper analytical expressions are derived for the temporal variations of J2 and J22 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 delta-u T1. For delta-J2 and delta-J22 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.
Ferrándiz José Manuel
Getino Juan
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