Precession of the Nonrigid Earth: Effect of the Fluid Outer Core

A note on the periodic orbits of a self excited rigid body

“…in the open set Ω = {(R, Z) ∈ R 2 / 0 < R < +∞, 0 < Z < +∞} with F 1 (R, Z) and F 2 (R, Z) given by (3). Hence Theorem 1 is proved.…”

“…This idea has been used in previous works as an integrability criterium and for obtaining approximation solutions to real problems, see for instance [3,4,5,6]. In order to present our results we need some preliminary definitions and notation.…”

Earth’s Rotation: A Challenging Problem in Mathematics and Physics

“…(13) provides the precession. The non-rigidity effects on precession are so small (WILLIAMS 1994) that is not difficult to read that the precession is independent of the considered Earth model, which is not really true (FERRÁ NDIZ et al 2004NDIZ et al , 2007.…”

Hamiltonian of a Second Order Two-Layer Earth Model

“…In view of dynamical formation of structures at the core-mantle boundary, Hansen & Stemmer (2006) apply fully three dimensional models in cartesian and spherical geometry, in order to study the evolving patterns at the lower boundary in convection with strongly temperature-dependent viscosity at high Rayleigh number. Getino & Ferrandiz (2001) calculated the nutation series of a 2-layer Earth model (at a first order), Ferrandiz et al (2004) calculated precession for a free core nutation (FCN),they mentioned the computation of precession due to secular part of a second order term of the transformed Hamiltonian. In this work, we will deduce a second order Hamiltonian of a 2-layer Earth model including the tidal effect produces by the attraction of Moon and Sun.…”