The angular displacement – also called angle of rotation, rotational displacement, or rotary displacement – of a physical body is the angle through which the body rotates around a centre or axis of rotation. Angular displacement may be signed, indicating the sense of rotation ; it may also be greater than a full turn.
Rotation of a rigid body P about a fixed axis O.
Figure 1: Euler's rotation theorem. A great circle transforms to another great circle under rotations, leaving always a diameter of the sphere in its original position.
Rotation or rotational motion is the circular movement of an object around a central line, known as axis of rotation. A plane figure can rotate in either a clockwise or counterclockwise sense around a perpendicular axis intersecting anywhere inside or outside the figure at a center of rotation. A solid figure has an infinite number of possible axes and angles of rotation, including chaotic rotation, in contrast to rotation around a fixed axis.
Star trails caused by the Earth's rotation during the camera's long exposure time