Because of precession (see yesterday's Beakful), pole stars are not permanent. Polaris, the current north star, will eventually lose its navigational usefulness as the direction that the north pole points starts to drift away from it. Our next north star will be Gamma Cephei, aka Errai, a binary star known to have a planet. You have about 900 years to wait before the pole stars change over, and another millennium beyond that before the north pole points most closely to Gamma Cephei.
There is a south star, Sigma Octantis, but it is too dim to be of much practical use in navigation. In a couple millennia, the southern hemisphere will get a better pole star.
Mars currently has a south star, Kappa Velorum.
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