Yes. It's part of the Milky Way galaxy, but appears to be motionless to the human eye.
North
The only star that does not appear to move in the Sky is Polaris, the North Star. (Actually it does move in a TINY circle, but the apparent motion is too small to notice.)
Polaris.
North star
No, planets cannot move by themselves. Their motion is governed by gravity, which is the force that keeps them in orbit around a star like our sun. This motion is a delicate balance between the planet's velocity and the gravitational pull of the star.
no stars move.its the earth spinning that makes it look like they more. the north star is directly abouve us so it doenst appear to move.
Precession. This VERY slow wobble is what causes the Earth's rotational axis to move in a 26,000 year circle. The fact that Polaris is the north star is entirely accidental and fortuitous; in another 13,000 years Vega will be the "north star".
When in the northern hemisphere, looking north toward the celestial "axis" or North Star (aka Polaris), stars acan be oberserved to move all directions. To the south of Polaris (looking "above" it), the stars and other things move East to West across the sky. To the north of Polaris (looking "below" it), the stars and other things move West to East across the sky. Both are true for short distances, because in fact, the direction it moves is actually in a smaller and smaller circle the closer the star appears to be to Polaris. With a camera that can take long exposures (10-20 minutes or even hours) this circular motion can easily be seen.
If you are standing at the North Pole, the constellations will appear to rotate counterclockwise around the North Star (Polaris). This is because the North Star is directly above the North Pole, and as the Earth rotates on its axis, the stars appear to move in circles around it.
Examples of objects that move in circular motion include a yo-yo being swung in a circle, a planet orbiting around a star, a swinging pendulum, and a car negotiating a roundabout.
Stars near the north celestial pole appear to move in a counter-clockwise circle because of the Earth's rotation. This effect is known as the diurnal motion of stars due to the Earth's rotation on its axis. Polaris, the North Star, remains nearly stationary as other stars appear to revolve around it.
The Pole Star appears stationary in the night sky because it lies almost directly above the Earth's North Pole. As the Earth rotates on its axis, the North Pole always points in the same direction towards the Pole Star. This makes the Pole Star visible every night, regardless of the Earth's revolution around the Sun.