Talk:PlanetPhysics/Axis Angle of Rotation to Quaternions
Original TeX Content from PlanetPhysics Archive
edit%%% This file is part of PlanetPhysics snapshot of 2011-09-01 %%% Primary Title: axis angle of rotation to quaternions %%% Primary Category Code: 45.40.-f %%% Filename: AxisAngleOfRotationToQuaternions.tex %%% Version: 3 %%% 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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\usepackage{html}
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% almost certainly you want these \usepackage{amssymb} \usepackage{amsmath} \usepackage{amsfonts}
% used for TeXing text within eps files %\usepackage{psfrag} % need this for including graphics (\includegraphics) %\usepackage{graphicx} % for neatly defining theorems and propositions %\usepackage{amsthm} % making logically defined graphics %\usepackage{xypic}
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\begin{document}
Quaternions can be defined from the \htmladdnormallink{axis angle of rotation}{http://planetphysics.us/encyclopedia/AxisAngleOfRotation.html} by
\begin{equation} \left[ \begin{array}{c} q_1 \\ q_2 \\ q_3 \\ q_4 \end{array} \right] = \left[ \begin{array}{c} e_1 sin( \alpha /2 ) \\ e_2 sin( \alpha /2 ) \\ e_3 sin( \alpha /2 ) \\ cos( \alpha /2 ) \end{array} \right] \end{equation}
\end{document}