All the stars that we can see in the sky are relatively close by, within about a hundred light years (the galaxy is a hundred _thousand_ light years across). This local group of stars travels around the center of the galaxy at about the same speed, so the speed of the Sun relative to the nearby stars is low, compared with the distance to these stars. Also distances in space are very, very large. Unimaginably large. You literally have no idea how big interstellar space is.
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