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The sun rotates on its axis but it remains stationary at a point (means does not revolve) in space.
It takes 25 to 35 days to revolve on its axis.
It is due to the fact that the sun's center spins faster than its North and South Poles.
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Sun move on its axis. Sun takes 24.47 days to rotate around the Sun and return to the same position.  This period is known as sidereal rotation period, 
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