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Radagast83 (talk | contribs) article is too long as it is I think |
Direction cosines are two parameters (angles). Unit vectors include a module. What we have here is not that, but Euler Angles |
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:<math>\mathbf{q}_2 = \sin(\alpha/2)\cos(\beta_y)</math>
:<math>\mathbf{q}_3 = \sin(\alpha/2)\cos(\beta_z)</math>
where α is a simple rotation angle and cos(β<sub>''x''</sub>), cos(β<sub>''y''</sub>) and cos(β<sub>''z''</sub>) are the "[[
===Relationship with Tait-Bryan angles===
[[Image:Flight dynamics with text.png|right|thumb]]
Similarly for Euler angles, we use the [[Tait-Bryan angles]] (in terms of [[flight dynamics]]):
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