On the Effect of the Mantle Elasticity on the Earth's Rotation
Abstract
Starting from the Hamiltonian model for a solid Earth with an elastic mantle previously developped by the authors, analytical expressions are derived which give the nutation series corresponding to the plane perpendicular to the angular momentum vector, to the plane perpendicular to the rotational axis and to the equator of figure, as well as the series that give the polar motion. The effects of the different perturbations — solid Earth, centrifugal and tidal potentials — are calculated separately. The corrections due to the elasticity of the mantle, which mostly correspond to the Oppolzer terms, are calculated with an accuracy of 10^{6} arc sec., given that the intrinsic observational accuracy has reached 0.01 mas.
 Publication:

Celestial Mechanics and Dynamical Astronomy
 Pub Date:
 June 1995
 DOI:
 10.1007/BF00048513
 Bibcode:
 1995CeMDA..61..117G
 Keywords:

 Elastic Earth;
 Earth's rotation;
 nutations;
 tides;
 Chandler's period