Triad method: Difference between revisions

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where <math> \vdots </math> have been used to separate different column vectors.
 
As you can see, theThe solution presented above works well in the noise-free case. However, in practice, <math> \vec{r}_1, \vec{r}_2 </math> are noisy and the orthogonality condition of the attitude matrix (or the direction cosine matrix) is not preserved by the above procedure. Triad incorporates the following elegant procedure to redress this problem. To this end, we define unit vectors
 
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