Astrophysical fluid bodies that orbit close to one another induce tidal distortions and flows
that are subject to dissipative processes. The spin and orbital motions undergo a coupled
evolution over astronomical timescales, which is relevant for many types of binary star, short-
period extrasolar planetary systems, and the satellites of the giant planets in the Solar
System. I review the principal mechanisms that have been discussed for tidal dissipation in
stars and giant planets in both linear and nonlinear regimes. I also compare the …

In this lecture opening the session focused on tides in stellar and planetary systems, I will
review the Jean-Paul Zahn's key contributions to the theory of tidal dissipation in stars and
fluid planetary layers. I will first recall the general principles of tidal friction in celestial
bodies. Then, I will focus on the theories of the stellar equilibrium and dynamical tides
founded by Jean-Paul and their predictions for the evolution of binary stars. I will underline
their essential legacy for ongoing studies of tidal dissipation in stars hosting planets and in …