The 4.2 day orbit of the newly discovered planet around 51 Pegasi is f
ormally unstable to tidal dissipation. However, the orbital decay time
in this system is longer than the main-sequence lifetime of the centr
al star. Given our best current understanding of tidal interactions, a
planet of Jupiter's mass around a solar-like star could have dynamica
lly survived in an orbit with a period as short as similar to 10 hr. S
ince radial velocities increase with decreasing period, we would expec
t to find those planets close to the tidal limit first, and, unless th
is is a very unusual system, we would expect to find many more. We als
o consider the tidal stability of planets around more evolved stars, a
nd we reexamine in particular the question of whether the Earth can dy
namically survive the red giant phase in the evolution of the Sun.