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Fix link to reference nasa-rotation |
Citation bot (talk | contribs) Add: doi-access. | Use this bot. Report bugs. | Suggested by Headbomb | Linked from Wikipedia:WikiProject_Academic_Journals/Journals_cited_by_Wikipedia/Sandbox | #UCB_webform_linked 862/1012 |
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:<math>\vec{t} = 2\vec{q} \times \vec{v}</math>
:<math>\vec{v}^{\,\prime} = \vec{v} + q_0 \vec{t} + \vec{q} \times \vec{t}</math>
where <math>\times</math> indicates a three-dimensional vector cross product. This involves fewer multiplications and is therefore computationally faster. Numerical tests indicate this latter approach may be up to 30% <ref>{{cite journal |pmc=4435132|year=2015|last1=Janota|first1=A|title=Improving the Precision and Speed of Euler Angles Computation from Low-Cost Rotation Sensor Data|journal=Sensors|volume=15|issue=3|pages=7016–7039|last2=Šimák|first2=V|last3=Nemec|first3=D|last4=Hrbček|first4=J|doi=10.3390/s150307016|pmid=25806874|doi-access=free}}</ref> faster than the original for vector rotation.
=== Proof ===
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