Direction Cosine Matrix Body to Wind

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

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.