Star chart of surrounding area.
Epsilon Eridani (also 18 Eridani) was a spectral class K2V star located about 10.5 light years from Sol in the constellation of Eridanus.
On several occasions in 2364, viewscreen readouts aboard the USS Enterprise-D showed the location of Epsilon Eridani, in the form of charts from the Enterprise library computer. (TNG: "The Naked Now", "The Last Outpost", "Conspiracy")
Background
The Enterprise computer's star chart was a drawing by Rick Sternbach that had originally been published, years earlier, on page 77 of the reference titled Spaceflight Chronology. This chart showed Earth commercial and exploration routes in the 2050s and 2060s, but no text attesting to this fact was included in the portion used onscreen, just the labeled names of the stars.
Epsilon Eridani is currently the closest star system to the Sun known to possess an extrasolar planet, 1.5 times the mass of Jupiter, which orbits its star every 6.9 years. A second planet may exist at roughly Pluto's distance.[1]