The large change in brightness of the ground-based observations presents problems concerning the physical na-Observations of Nereid with the 200-in. telescope on Palomar Mountain over three contiguous nights in July 1995 show no ture of Nereid. If the photometric variations are due to an evidence for the large photometric variations seen by earlier elongated shape, the ratio of the shortest to the longest observers. Total brightness variations within a single night principal axis (if the shape of the satellites is modeled as are less than 10%. Our results suggest that Nereid may have a triaxial ellipsoid where a, b, and c are the principal axes) a long rotational period, perhaps on the order of weeks. Our would be 1 : 4. Similarly, if the variations were attributed observations were not obtained close enough to Nereid's to albedo changes on the satellite, the differences would apoapsis to determine whether its rotation state is chaotic, as amount to a factor of 4. Voyager 2 imaging measurements suggested by Dobrovolskis (1993, Icarus 118, 181-198). ยฉ 1997 show that Nereid does not depart from sphericity by more Academic Press than 20%, and there is no evidence of large albedo variegations (although the entire surface was not imaged; see 225