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dcmbody2wind

Convert angle of attack and sideslip angle to direction cosine matrix

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Syntax

dcm = dcmbody2wind(alpha,beta)

Description

dcm = dcmbody2wind(alpha,beta) calculates the direction cosine matrix dcm for given angles of attack alpha and sideslip angles beta.

example

Examples

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Open Live Script

Determine the direction cosine matrix dcm from the angle of attack and sideslip angle.

alpha = 0.4363; 
beta = 0.1745;
dcm = dcmbody2wind(alpha, beta)
dcm = 3×3

    0.8926    0.1736    0.4162
   -0.1574    0.9848   -0.0734
   -0.4226         0    0.9063
Open Live Script

Determine the direction cosine matrix from multiple angles of attack and sideslip angles.

alpha = [0.4363 0.1745]; 
beta = [0.1745 0.0873];
dcm = dcmbody2wind(alpha, beta)
dcm = 
dcm(:,:,1) =

    0.8926    0.1736    0.4162
   -0.1574    0.9848   -0.0734
   -0.4226         0    0.9063


dcm(:,:,2) =

    0.9811    0.0872    0.1730
   -0.0859    0.9962   -0.0151
   -0.1736         0    0.9848

Input Arguments

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Angles of attack, specified as an array of m angles of attack, in radians. dcm defines the transformation of the body frame to the stability frame.

Data Types: double

Sideslip angles, specified as an m array of sideslip angles, in radians.

Data Types: double

Output Arguments

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Direction cosine matrices, returned as a 3-by-3-by-m matrix, where m is the number of direction cosine matrices. dcm performs the coordinate transformation of a vector in body-axes into a vector in wind-axes.

Version History

Introduced in R2006b

See Also

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