The Apollo asteroid 4179 Toutatis passed within 0.0242 AU of Earth in
December 1992, and photometry was obtained by observers from at least
25 sites around the world, at solar phase angles between 121 degrees a
nd 0.2 degrees. The phase curve is well described in the H, G system w
ith a mean H of 15.3 and a slope parameter G of 0.10 +/- 0.10. However
, the rotational lightcurve is very unusual. The amplitude is large (1
.2 magnitudes) and the rotation period is extremely long (several days
). Most remarkably, the lightcurve does not appear to be periodic: it
is unlikely that a single rotation period can account for the lightcur
ve even when the rapidly changing viewing and illumination geometry du
ring the close Earth approach is taken into account, though strong lig
htcurve minima recurred approximately every 7.3 days. The likely expla
nation is that Toutatis has complex, tumbling, rotation with a charact
eristic period between 3 and 7 days. As noted by A. W. Harris (1994 Ic
arus 107, 209-211), the damping time scale from complex to simple rota
tion for a small, slowly rotating asteroid like Toutatis is so long th
at complex rotation is expected, but Toutatis is the first asteroid to
show such strong observational evidence for complex rotation. (C) 199
5 Academic Press, Inc.