Hello,
There is currently no "south star". The "north star" is called
Polaris, but it is really just a coincidence that there happens to be
a star very near to the North Celestial Pole, the point on the sky
around which all stars in the northern hemisphere appear to rotate.
In fact, the position of the North Celestial Pole changes constantly,
because the Earth is wobbling, like a spinning top. The Earth's
rotation axis wobbles once around every 26,000 years. In just a few
thousand years, there won't be a "north star" either! Not for a
while, anyway...in 12,000 years or so, the bright star Vega will
briefly be the North star, and various dim stars also happen to lie in
the path of the North Celestial Pole...the same is true for the South
Celestial Pole.
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