A Celestial Mechanics Model of Oscillations of the Poles of a Deformable Earth

Details A Celestial Mechanics Model of Oscillations of the Poles of a Deformable Earth A Celestial Mechanics Model of Oscillations of the Poles of a Deformable Earth

Sep 2005

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2005cosre..43..335a&link_type=abstract

Cosmic Research, Volume 43, Issue 5, pp.335-341

Computer Science

Scientific paper

The problem of Chandler motion of the Earth's poles is studied in the context of the model of a viscoelastic body. The Earth-Moon system is considered as a binary planet rotating around their barycenter. Numerical values of the period and amplitudes of oscillations of the poles are obtained by estimating the elastic deformation of the Earth and the variation of its inertia tensor, and they agree well with observational data. An evolution model of the Earth-Moon-Sun system is constructed by taking into account tidal forces of dissipation character. By means of the method of averaging, the qualitative properties of motion on asymptotically large intervals of time (comparable and essentially longer than the period of precession of the Earth's axis) are established and commented on.

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