Aerospace Blockset™

Wind Angles to Direction Cosine Matrix - Convert wind angles to direction cosine matrix

Library

Utilities/Axes Transformations

Description

The Wind Angles to Direction Cosine Matrix block converts three wind rotation angles into a 3-by-3 direction cosine matrix (DCM). The DCM matrix performs the coordinate transformation of a vector in earth axes into a vector in wind axes . The order of the axis rotations required to bring this about is:

1. A rotation about oz₀ through the heading angle to axes

2. A rotation about oy₁ through the flight path angle to axes

3. A rotation about ox₂ through the bank angle to axes

Combining the three axis transformation matrices defines the following DCM.

Dialog Box

Inputs and Outputs

Assumptions and Limitations

This implementation generates a flight path angle that lies between degrees, and bank and heading angles that lie between degrees.

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

WGS84 Gravity Model

Wind Angular Rates