Orateur
Description
The modeling of solid tides plays a central role in understanding the long-term dynamical evolution of planetary and satellite systems. In this presentation, we review the development of tidal models in celestial mechanics, tracing the progression from the simple constant time-delay prescription to more physically grounded approaches based on rheological properties of planetary bodies. Special attention is given to the Newtonian creep model introduced by Sylvio Ferraz-Mello, which provides an elegant and physically motivated framework for tidal dissipation. We discuss the advantages and limitations of each approach, examine how these models are incorporated into the equations of motion of the N-body problem, and explore their implications for the long-term dynamical evolution of planetary systems — including spin-orbit resonances, orbital circularization, and the equilibrium configurations of deformable bodies.