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Star Rotation
This is how the sun, moon and stars rotate above a flat earth.  The sun and moon as shown
below actually travel parallel to the earth but our perspective from our observation point
looks like they travel in an arc pattern.  This helps us understand how the stars move in the
heavens as well.
Polaris rests in a fixed
position above the North
Pole at the center of the
earth.  The stars rotate in
an east to west direction
around Polaris.  But
Polaris and the Northern
Stars can only be seen in
the northern sky.  As we
move closer to the
equator, Polaris drops in
height until it is at the
horizon.  As we continue
southward past the
equator we can no longer
see Polaris and the
northern stars but the
stars in the Southern sky
come into our viewing
Stars always revolve from east to
west.  As we look at the northern
sky, east is on our right so the
stars rotate from right to left in a
counter clockwise direction.   
When we look at the southern
sky, east is on our left so the
stars move from left to right
which appears as a clockwise
direction.  Actually in both the
northern sky and the southern
sky the stars rotate east to west,
but it just appears that they
change direction.
Stars rotating around Polaris
Stars Always rotate from east to west.  We can say that they
rotate right to left or left to right, clockwise, or counter
clockwise, but that's only because of our perception.
The sun makes one rotation above the flat earth every 24 hours.  The moon takes 24 hours
and 50 minutes.  The stars take 23 hours and 56 minutes.  Each has their own rotation and
speed.  This is what produces day/night, seasons, moon phases, and different stars visible
at different times.    God created them with such precision that for thousands of years
forward or backward, they maintain their constant orbits and times.    Yet there are those
that still think that this precision "just happened."
A good video that explains the star rotation in more detail can be found Here.