A huge gas giant, Jupiter has at least sixty-seven moons including Io, Ganymede, Europa and Callisto. Many of these moons had been colonised by the time Red Dwarf left the solar system.
Red Dwarf was a vessel operated by the Jupiter Mining Corporation, but whether this company was based on Jupiter, operated around the planet or was simply named for it was never established.
One of Dave Lister's most impressive photographs was a picture of Jupiter rising over another planet, which he showed to the Cat who was wowed by it, but Lister dismissed it by saying "it's just the Jupiter Rise" and that "everyone takes that shot." (RD: Future Echoes).