Direction Cosine Matrix Body to Wind

Formation of the transformation matrix from the coupled coordinate system to the velocity coordinate system.

blockType: SubSystem

Path in the library:

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

Description

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

The transformation matrix has the following form:

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

Ports

Input

ɑ β are angles that determine the direction of velocity
`vector 2 to 1

Angles determining the direction of velocity of an aircraft given as a vector. Elements of the vector:

- angle of attack, rad.
- angle of glide, rad.

Data types: Float64.

Output

DCM_wb - conversion matrix
`matrix 3 by 3

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

Data types: Float64.