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I am having trouble understanding this, I hope you guys can help:

Is the computation of quaternions faster and less prone to rounding errors than the computation of attitude matrices, due to the absence of trigonometrical functions (sine, cosine.)? I have been trying to read up on these topics but I could not find a definitive answer.

Defrans
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  • It is hard to believe that a few sines and cosines in a $3\times 3$-matrix are the source of rounding errors in the twenty first century. If I am missing something you may want to post a more specific question with more context. – Kurt G. Feb 13 '23 at 20:12
  • Welcome to Stack Exchange! I think this is a really interesting question! But I also think that Scientific Computing SE or even Space Exploration SE (where there's also a quaternions for attitude control application) are better sites for it. I'll ping a moderator and suggest it's a candidate for migration there. – uhoh Feb 20 '23 at 23:46

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