Engee documentation

Direction Cosine Matrix Body to Wind to Alpha and Beta

Calculation of angles of attack and glide using the transformation matrix from the coupled coordinate system to the velocity coordinate system.

direction cosine matrix body to wind to alpha and beta

Description

Block Direction Cosine Matrix Body to Wind to Alpha and Beta calculates the angles of attack and slip based on the directional cosine matrix to convert the component vectors of the associated coordinate system to the velocity coordinate system.

The transformation matrix has the form:

The angles of attack and slip are determined by the formulas:

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

Limitations

  • The values of the angles of attack and glide are in the range [-90°, +90°].

Ports

Input

DCMwb - conversion matrix
`3 by 3 matrix

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

Data types: Float64

Output

ɑ β - angles determining 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

Additional options

C code generation: Yes