Solution to the rotation of the elastic earth by method of rigid dynamics

Details Solution to the rotation of the elastic earth by method of rigid dynamics Solution to the rotation of the elastic earth by method of rigid dynamics

Jun 1990

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1990cemda..50..165k&link_type=abstract

Celestial Mechanics and Dynamical Astronomy, Volume 50, Issue 2, pp.165-187

Astronomy and Astrophysics

Astronomy

1

Rotation Of Earth, Elastic Earth, Rigid Dynamics

Scientific paper

Hamiltonian mechanics is applied to the problem of the rotation of the elastic Earth. We first show the process for the formulation of the Hamiltonian for rotation of a deformable body and the derivation of the equations of motion from it. Then, based on a simple model of deformation, the solution is given for the period of Euler motion, UT1 and the nutation of the elastic Earth. In particular it is shown that the elasticity of the Earth acts on the nutation so as to decrease the Oppolzer terms of the nutation of the rigid Earth by about 30 per cent. The solution is in good agreement with results which have been obtained by other, different approaches.

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