Hamiltonian theory for the non-rigid Earth: Semidiurnal terms

The purpose of this paper is to determine the contributions to the nutation series arising from the triaxiality of a non-rigid Earth model composed of a rigid mantle and a liquid core. With this aim, the canonical formulation of the rotation of the non-rigid Earth developed by Getino and Ferrándiz is applied in order to study the semidiurnal terms arising from the C22 and S22 geopotential coefficients. Once the corresponding generating function is calculated, analytical expressions of the Andoyer and figure planes are derived. We also provide numerical nutation series based on the analytical formulae.