In aircraft design and aerodynamics, the term “vertical axis roll angle” is not commonly used. Roll angle, or bank angle, is typically associated with the lateral axis (the roll axis), which describes the rotation of the aircraft about its longitudinal axis.
However, if you are interested in calculating the roll angle or bank angle of an aircraft relative to a vertical axis or the earth’s vertical direction (often referred to as the yaw angle), you would typically use the formula for yaw angle (ψ), which represents the rotation about the vertical axis.
The formula for yaw angle (ψ) can be defined as follows:
- Yaw Angle (ψ) is the yaw angle in radians (rad).arctan is the inverse tangent function.v
- x is the velocity component in the longitudinal (forward-backward) direction, typically measured in meters per second (m/s).
- vy is the velocity component in the lateral (side-to-side) direction, also measured in meters per second (m/s).