  We examine in detail 15 Babylonian observations of lunar appulses and
occultations made between 80 and 419 BC for the purpose of setting useful
limits on Earth's clock error, as quantified by $\Delta$T, the difference
between Terrestrial Time and Universal time. Our results are generally in
agreement with reconstructions of $\Delta$T using untimed solar eclipse
observations from the same period. We suggest a revised version of the simple
quadratic fit to $\Delta$T in light of the new results.
