We have combined Hipparcos proper-motion and parallax data for nearby stars
with ground-based radial velocity measurements to find stars that may have
passed (or will pass) close enough to the Sun to perturb the Oort cloud. C
lose stellar encounters could deflect large numbers of comets into the inne
r solar system, which would increase the impact hazard at Earth. We find th
at the rate of close approaches by star systems (single or multiple stars)
within a distance D (in parsecs) from the Sun is given by N = 3.5D(2.12) MY
r(-1), less than the number predicted by a simple stellar dynamics model. H
owever, this value is clearly a lower limit because of observational incomp
leteness in the Hipparcos data set. One star, Gliese 710, is estimated to h
ave a closest approach of less than 0.4 pc 1.4 Myr in the future, and sever
al stars come within 1 pc during a +/- 10 Myr interval. We have performed d
ynamical simulations that show that none of the passing stars perturb the O
ort cloud sufficiently to create a substantial increase in the long-period
comet flux at Earth's orbit.