Nereid, a satellite of Neptune, is peculiar in several ways:
Its orbit is retrograde and highly elliptical (1.4 x 9.7 million kilometers)
Its brightness changes by a factor of four as it rotates
Its diameter, according to M.W. and B.E. Schaefer (Nature, 333:436, 1988) is thought to be at least 660 kilometers.
None of these facts taken alone is anomalous, but (2) and (3) taken together seem incompatible. If the large brightness changes are due to a highly irregular shape, Nereid's 660-kilometer size is too large, because astronomers agree that gravitational forces will
sphericize all objects larger than 400 kilometers. On the other hand, if Nereid is two-faced, like Saturn's moon Iapetus (it's carbon-black on one side, light-colored on the other), astronomers are again faced with trying to explain how such a large solar-system object can acquire so much carbonaceous material on one side only. Also, Nereid's eccentric, retrograde orbit surely hints at a history of capture or orbit disruption.
(Weisburd, S.; "Neptune's Nereid: Another Mysterious Moon," Science News, 133:374, 1988. Also: Veverka, J.; "Taking a Dim View of Nereid," Nature, 333:391, 1988.)
"Before opening the book, I set certain standards that a volume which treads into dangerous grounds grounds like this must meet. The author scrupulously met, or even exceeded those standards. Each phenomenon is exhaustively documented, with references to scientific journals [..] and extensive quotations" -- "Book Review: The moon and planets: a catalog of astronomical anomalies", The Sourcebook Project, 1985., Corliss, W. R., Journal of the Royal Astronomical Society of Canada>, Vol. 81, no. 1 (1987), p. 24., 02/1987