The roll angle (also known as bank angle) of an aircraft about the lateral axis, which is perpendicular to the longitudinal axis, represents the angle at which the aircraft’s wings are tilted relative to the horizon. Roll angle is an essential parameter in understanding and controlling an aircraft’s orientation during maneuvers.
The formula for roll angle (φ) can be defined as follows:
- Roll Angle (φ) is the roll angle in radians (rad).arctan is the inverse tangent function.
- ax is the acceleration in the longitudinal (forward-backward) direction, typically measured in meters per second squared (m/s²).
- ay is the acceleration in the lateral (side-to-side) direction, typically measured in meters per second squared (m/s²).
- az is the acceleration in the vertical (up-and-down) direction, also measured in meters per second squared (m/s²).