Question

why pole star does not appear to move ?

Answer 1

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$\huge\mathfrak{\blue{Answer→}}$Earth spins under the sky once a day. Earth's spin causes the sun in the daytime – and the stars at night – to rise in the east and set in the west. But the North Star is a special case. Because it lies almost exactly above Earth's northern axis, it's like the hub of a wheel.
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Answer 2

for example take great bear it will move but pole star won't movein great bear there will be 7 stars those 7 stars will move but pole star won't move it is like a pole to great bear.