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www.euclideanspace.com
Equations heading = atan2(2*qy*qw-2*qx*qz , 1 - 2*qy2 - 2*qz2) attitude = asin(2*qx*qy + 2*qz*qw) bank = atan2(2*qx*qw-2*qy*qz , 1 - 2*qx2 - 2*qz2) except when qx*qy + qz*qw = 0.5 (north pole) which gives: heading = 2 * atan2(x,w) bank = 0 and when qx*qy + qz*qw = -0.5 (south pole) which gives: heading = -2 * atan2(x,w) bank = 0 Issues It is better to use atan2 function than atan function as descr
This site looks at mathematics and how it can be computed. The name of the site 'EuclideanSpace' seems appropriate since Euclid made one of the first attempts to document and classify the mathematics known at the time. We now know, through the theorems of Kirt Gödel, that there is no definitive way to classify mathematics so the organisation here is arbitrary in some ways and reflects my own inter
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