Engee documentation

Wind Angles to Direction Cosine Matrix

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

blockType: SubSystem

wind angles to direction cosine matrix

Path in the library:

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

Description

Block Wind Angles to Direction Cosine Matrix generates a matrix of guiding cosines for converting the component vectors of the normal coordinate system into a velocity one.

The transformation matrix has the form:

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

Ports

Entrance

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

The angles between the axes of the normal and velocity coordinate systems, set as a vector. Vector elements:

  • — high-speed bank angle, rad.

  • — high-speed pitch angle, rad.

  • — high-speed yaw angle, rad.

Data types: Float64

Output

DCMwe is a pass:q transformation matrix[<br>] 3-by-3 matrix

A matrix of guiding cosines for converting the component vectors of a normal coordinate system into a velocity one.

Data types: Float64