Kinetic energy of a non-spherical elastic Earth mantle with Andoyer variables (Q1805149)

We study the rotation of a deformable Earth with an elastic spherical mantle. Taking an axisymmetrical, slightly ellipsoidal Earth, the modification due to the ellipticity is introduced into the solution for the displacement vector for both spheroidal and toroidal modes, and, after defining the adequate variables, we give the canonical formulation of the corresponding increase in the kinetic energy.