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