Wind Angles to Direction Cosine Matrix

Formation of transformation matrix from normal coordinate system to velocity coordinate system.

blockType: SubSystem

Path in the library:

/Aerospace/Axes Transformations/Wind Angles to Direction Cosine Matrix

Description

The Wind Angles to Direction Cosine Matrix block generates a direction cosine matrix to convert the component vectors of the normal coordinate system to the velocity coordinate system.

The transformation matrix has the following form:

The unit uses coordinate systems according to the international standard ISO 1151.

Ports

Input

μ γ χ - angles between the axes of the normal and velocity coordinate systems
`vector 3 by 1

Angles between the axes of normal and velocity coordinate systems given as a vector. Elements of a vector:

- velocity roll angle, rad.
- pitch angle, rad.
- yaw angle, rad.

Data types: Float64.

Output

DCM_we - conversion matrix
3-by-3 matrix

The matrix of directional cosines for converting the component vectors of the normal coordinate system to the velocity coordinate system.

Data types: Float64.