Normal to Stability

Formation of a transformation matrix from a normal coordinate system to a semi-connected one according to GOST 20058-80.

blockType: SubSystem

Path in the library:

/Aerospace/Axes Transformations/Normal to Stability

Description

Block Normal to Stability generates a matrix of guiding cosines to transform the component vectors of a normal coordinate system into a semi-connected one.

The transformation matrix has the form:

The block uses coordinate systems according to GOST 20058-80.

Ports

Input

# α — Angle of attack
scalar

Details

Angle of attack, rad.

Data types	`Float64`
Complex numbers support	No

# γ — roll angle
scalar

Details

Roll angle, rad.

Data types	`Float64`
Complex numbers support	No

# ϑ — pitch angle
scalar

Details

Pitch angle, rad.

Data types	`Float64`
Complex numbers support	No

# ψ — yaw angle
scalar

Details

Yaw angle, rad.

Data types	`Float64`
Complex numbers support	No

Output

# DCM — the transformation matrix
the 3 by 3 matrix

Details

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

Data types	`Float64`
Complex numbers support	No