  We reexamine the popular belief that a telluric planet or satellite on an
eccentric orbit can, outside a spin-orbit resonance, be captured in a
quasi-static tidal equilibrium called pseudosynchronous rotation. The existence
of such configurations was deduced from oversimplified tidal models assuming
either a constant tidal torque or a torque linear in the tidal frequency. A
more accurate treatment requires that the torque be decomposed into the
Darwin-Kaula series over the tidal modes, and that this decomposition be
combined with a realistic choice of rheological properties of the mantle. This
development demonstrates that there exist no stable equilibrium states for
solid planets and moons, other than spin-orbit resonances.
