Sun
The closest thing the Sun has to a North polar star is HD 176668, a faint (magnitude 6.50) star in the constellation Draco. It is about 2.3 degrees off the Sun's polar axis. A better choice for putative Sun dwellers, assuming they could see the sky, would be δ Draconis, which is much brighter (magnitude 3.07; it is the fourth brightest star in that constellation) although 4.3 degrees off. The Sun's South polar star turns out to be 34 Carinae, also a faint (magnitude 6.03) star, 2.2 degrees off, with the bright star α Pictoris (magnitude 3.24), 4.1 degrees away, as competing choice.
Read more about this topic: Extraterrestrial Skies
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“Thir dread commander: he above the rest
In shape and gesture proudly eminent
Stood like a Towr; his form had yet not lost
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Of Glory obscurd: As when the Sun new risn
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Shorn of his Beams, or from behind the Moon
In dim Eclips disastrous twilight sheds
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—G.C. (Georg Christoph)
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—Ben Jonson (c. 15721637)