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# dcmbody2wind

Convert angle of attack and sideslip angle to direction cosine matrix

## Syntax

n = dcmbody2wind(a, b)

## Description

n = dcmbody2wind(a, b) calculates the direction cosine matrix, n, for given angle of attack and sideslip angle, a, b. a is an m array of angles of attack. b is an m array of sideslip angles. n returns a 3-by-3-by-m matrix containing m direction cosine matrices. n performs the coordinate transformation of a vector in body-axes into a vector in wind-axes. Angles of attack and sideslip angles are input in radians.

## Examples

Determine the direction cosine matrix from angle of attack and sideslip angle:

```alpha = 0.4363;
beta = 0.1745;
dcm = dcmbody2wind(alpha, beta)

dcm =

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

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(:,:,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```

## See Also

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