Solution to the rotation of the elastic earth by method of rigid dynamics
Abstract
The rotation of a deformable body is examined by applying Hamiltonian dynamics to the case of the rotation of the earth and thereby deriving the equations of motion. A deformation model is employed to solve for the period of Euler motion and the nutation of the elastic earth. The results are compared to those of different approaches and are found to agree; the Oppolzer terms of the nutation of the rigid earth are found to be diminished by the effect of the elasticity of the earth.
 Publication:

Celestial Mechanics and Dynamical Astronomy
 Pub Date:
 1991
 Bibcode:
 1991CeMDA..50..165K
 Keywords:

 Earth Rotation;
 Equations Of Motion;
 Hamiltonian Functions;
 Rotating Bodies;
 Celestial Mechanics;
 Earth Tides;
 Elastic Properties;
 Euler Equations Of Motion;
 Nutation;
 Geophysics