Having such a big Hill radius is one way of explaining why Jupiter has a lot of moons and can affect the orbits of passing comets so strongly. ... system is that the Earth itself does not synchronously rotate (nor do any of the planets) about the Sun like the Moon and other satellites do around the planets. read more
No moons of Jupiter or Saturn have moons that orbit their moons, although there may have been in the past. However, it is completely possible for such a system to exist because artificial satellites have been put around the moon. This makes them artificial satellites of a satellite. read more