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An aircraft in flight is free to rotate in three dimensions: yaw, nose left or right about an axis running up and down; pitch, nose up or down about an axis running from wing to wing; and roll, rotation about an axis running from nose to tail. The axes are alternatively designated as vertical, lateral (or transverse), and longitudinal respectively.
In other words, wind axes are not principal axes (the mass is not distributed symmetrically about the yaw and roll axes). Consider the motion of an element of mass in position -z, x in the direction of the y-axis, i.e. into the plane of the paper. If the roll rate is p, the velocity of the particle is: = +
Diagram of how an aileron roll is performed in relation to other common rolls. The aileron roll is an aerobatic maneuver in which an aircraft does a full 360° revolution about its longitudinal axis. When executed properly, there is no appreciable change in altitude and the aircraft exits the maneuver on the same heading as it entered.
Flight dynamics is the science of air-vehicle orientation and control in three dimensions. The critical flight dynamics parameters are the angles of rotation with respect to the three aircraft's principal axes about its center of gravity, known as roll, pitch and yaw.
An aircraft moves at any given moment in one or more of three axes: roll (the axis that runs the length of the fuselage), pitch (the axis running laterally through the wings), and yaw (the vertical axis around which the front of the aircraft turns to the left or right whilst its rear turns toward the opposite direction).
The flight path during a barrel roll has the shape of a horizontal corkscrew and follows a helical path. Aileron roll; 360° revolution about the longitudinal axis at maximum roll rate. It consists of a pitch-up followed by a roll which is uncontrolled in the pitch axis, resulting in an initial climb, and then descent to the original altitude.
Ailerons are used in pairs to control the aircraft in roll (or movement around the aircraft's longitudinal axis), which normally results in a change in flight path due to the tilting of the lift vector. Movement around this axis is called 'rolling' or 'banking'. Considerable controversy exists over credit for the invention of the aileron.
A slow roll is an aerobatic maneuver in which an airplane makes a controlled roll by rotating about its longitudinal axis. It is performed by rolling the aircraft at a constant rate, while manipulating the control surfaces to maintain level flight.