We consider the precession rates of eccentric discs in close binaries, and
compare theoretical predictions with the results of numerical disc simulati
ons and with observed superhump periods. A simple dynamical model for prece
ssion is found to be inadequate. For mass ratios less than or similar to 1/
4 a linear dynamical model does provide an upper limit for disc precession
rates. Theory suggests that pressure forces have a significant retrograde i
mpact upon the precession rate. We find that the disc precession rates for
three systems with accurately known mass ratios are significantly slower th
an predicted by the dynamical theory, and we attribute the difference to pr
essure forces. By assuming that pressure forces of similar magnitude occur
in all superhumping systems, we obtain an improved fit to superhump observa
tions.