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Rotation or rotational motion is the circular movement of an object around a central line, known as an 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.
The axis of rotation is the imaginary line around which an object or system rotates. It is the fixed point or line that an object pivots or spins around as it undergoes rotational motion.
The axis is the unit vector (unique except for sign) which remains unchanged by the rotation. The magnitude of the angle is also unique, with its sign being determined by the sign of the rotation axis. The axis can be represented as a three-dimensional unit vector and the angle by a scalar θ.
The axis of rotation is a line of its fixed points. They exist only in n > 2. The plane of rotation is a plane that is invariant under the rotation. Unlike the axis, its points are not fixed themselves. The axis (where present) and the plane of a rotation are orthogonal.
Definition. Axis, as applied to aviation, is defined as "an imaginary line about which a body rotates". Discussion. An aircraft in flight manoeuvres in three dimensions. To control this movement, the pilot manipulates the flight controls to cause the aircraft to rotate about one or more of its three axes of rotation.
The meaning of AXIS OF ROTATION is the straight line through all fixed points of a rotating rigid body around which all other points of the body move in circles.
For each time $t$, the axis of rotation of $R (t)$ defines the axis of rotation of the rigid body. Notice that this rotation does not depend on the reference point fixed in the body that we choose. We could pick either the center of mass, or any other point in the body, but the description will remain the same.
