Aerospace Blockset™

Direction Cosine Matrix Body to Wind to Alpha and Beta - Convert direction cosine matrix to angle of attack and sideslip angle

Library

Utilities/Axes Transformations

Description

The Direction Cosine Matrix Body to Wind to Alpha and Beta block converts a 3-by-3 direction cosine matrix (DCM) into angle of attack and sideslip angle. The DCM matrix performs the coordinate transformation of a vector in body axes into a vector in wind axes . The order of the axis rotations required to bring this about is:

1. A rotation about oy₀ through the angle of attack to axes

2. A rotation about oz₁ through the sideslip angle to axes

Combining the two axis transformation matrices defines the following DCM.

To determine angles from the DCM, the following equations are used:

Dialog Box

Inputs and Outputs

Assumptions and Limitations

This implementation generates angles that lie between degrees.

Reference

Stevens, B. L., and F. L. Lewis, Aircraft Control and Simulation, John Wiley & Sons, New York, 1992.

See Also

Direction Cosine Matrix Body to Wind

Direction Cosine Matrix to Rotation Angles

Direction Cosine Matrix to Wind Angles

Rotation Angles to Direction Cosine Matrix

Wind Angles to Direction Cosine Matrix

Direction Cosine Matrix Body to Wind

Direction Cosine Matrix ECEF to NED