Engee documentation

Direction Cosine Matrix to Wind

Calculation of angles between the axes of the velocity and normal coordinate systems using the transformation matrix.

blockType: SubSystem

direction cosine matrix to wind angles

Path in the library:

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

Description

Block Direction Cosine Matrix to Wind calculates the angles between the axes of the velocity and normal coordinate systems: velocity roll angle , velocity pitch angle and velocity yaw angle .

The transformation matrix has the following form:

The angles are determined by the formulas:

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

Limitations

  • The values of the velocity pitch angle are in the range [-90°, +90°].

  • The values of the high-speed roll and yaw angles are in the range [-180°, +180°].

Ports

Input

DCMwe - conversion matrix
`3 by 3 matrix

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

Data types: Float64

Output

μ γ χ - angles between axes of 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