Back in 2005, a suite of six instruments on the Cassini spacecraft detected what was thought to be an extensive debris disk around Saturn's moon Rhea, and while there was no visible evidence, researchers thought that perhaps there was a diffuse ring around the moon. This would have been the first ring ever found around a moon. New observations, however, have nixed the idea of a ring, but there's still something around Rhea that is causing a strange, symmetrical structure in the charged-particle environment around Saturn's second-largest moon.

Dunno about Saturn, but it IS 2010, so maybe there's a monolith floating around Jupiter.