Talk:PlanetPhysics/Axis Angle of Rotation

Original TeX Content from PlanetPhysics Archive

%%% This file is part of PlanetPhysics snapshot of 2011-09-01 %%% Primary Title: axis angle of rotation %%% Primary Category Code: 45.40.-f %%% Filename: AxisAngleOfRotation.tex %%% Version: 2 %%% Owner: bloftin %%% Author(s): bloftin %%% PlanetPhysics is released under the GNU Free Documentation License. %%% You should have received a file called fdl.txt along with this file. %%% If not, please write to gnu@gnu.org. \documentclass[12pt]{article} \pagestyle{empty} \setlength{\paperwidth}{8.5in} \setlength{\paperheight}{11in}

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The axis angle of rotation is a result of Euler's \htmladdnormallink{theorem}{http://planetphysics.us/encyclopedia/Formula.html} of rotation and it describes a rotation of a three dimensional \htmladdnormallink{rigid body}{http://planetphysics.us/encyclopedia/RigidBody.html} by a \htmladdnormallink{unit vector}{http://planetphysics.us/encyclopedia/PureState.html} \begin{equation}

\hat{e} = \left[ \begin{array}{c} e_1 \\ e_2 \\ e_3 \end{array} \right] \end{equation}

and an angle of rotation, $ \alpha $.

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