Barnard's Star
The radial velocity of Barnard's Star towards the Sun is measured from its blueshift to be −110km/s. Combined with its proper motion, this gives a space velocity (actual velocity relative to the Sun) of −142.6 ± 0.2km/s. Barnard's Star will make its closest approach to the Sun around 11,800 CE, when it will approach to within about 3.75 light-years.