Conversion between quaternions and Euler angles: Difference between revisions

Revision as of 13:50, 28 January 2024

Revision as of 15:51, 28 January 2024

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{{Short description|Mathematical strategy}}

{{cleanup rewrite|date=January 2024}}

[[Rotation formalisms in three dimensions|Spatial rotations in three dimensions]] can be [[Coordinate system|parametrized]] using both [[Euler angles]] and [[Quaternions and spatial rotation|unit quaternions]]. This article explains how to convert between the two representations. Actually this simple use of "quaternions" was first presented by [[Leonhard Euler|Euler]] some seventy years earlier than [[William Rowan Hamilton|Hamilton]] to solve the problem of [[magic square]]s. For this reason the dynamics community commonly refers to quaternions in this application as "Euler parameters".