File:ECEF.svg

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Upload date 2017-06-08T02:55:06Z
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Summary

Description
English: Diagram of Earth Centered, Earth Fixed coordinates in relation to latitude and longitude.
Date
Source Own work
Author Krishnavedala
SVG development
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 The SVG code is valid.
 This diagram was created with LaTeX.

Source code

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This media was created with LaTeX (document markup language)
Here is a listing of the source used to create this file.

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\documentclass[10pt,border=1pt,tikz,class=scrartcl]{standalone}
\usepackage[T1]{fontenc}
\usepackage[utf8]{inputenc}
\usepackage{lmodern}
\usepackage{mathtools}
\usepackage{gensymb}

\usepackage{tikz-3dplot}
\usetikzlibrary{arrows,calc,positioning,decorations.pathreplacing}

\begin{document}
\scriptsize
\tdplotsetmaincoords {80}{100}
\begin{tikzpicture}[thick,auto,>=stealth,xscale=4,yscale=3,tdplot_main_coords]
	\pgfmathsetmacro{\pxyz}{.6}
	\draw [->,thin] (0,0,0) -- (1.2,0,0) node [anchor=north east] {X};
	\draw [->,thin] (0,0,0) -- (0,1.2,0) node [anchor=north] {Y};
	\draw [->,thin] (0,0,0) -- (0,0,1.2) node [anchor=south] {Z};
	\tdplotdrawarc {(0,0,0)}{1}{-90}{90}{}{};
	\tdplotdrawarc [dotted] {(0,0,0)}{1}{90}{270}{}{};
	\draw [green!50!gray] (\pxyz,0,0) -- ++(0,\pxyz,0) node [pos=.5,below] {$y$} 
		-- ++(-\pxyz,0,0) node [pos=.5,below right] {$x$} 
		-- ++(0,0,\pxyz) node [pos=.5,right] {$z$} 
		-- ++(0,-\pxyz,0) -- ++(\pxyz,0,0) -- ++(0,0,-\pxyz)
		(\pxyz,0,\pxyz) -- ++(0,\pxyz,0) -- ++(0,0,-\pxyz)
		(\pxyz,\pxyz,\pxyz) -- ++(-\pxyz,0,0)
	;
	\draw [red] (0,0,0) -- (\pxyz,\pxyz,0)	node [pos=.8,above] {$p$}
		(0,0,0) -- (\pxyz,\pxyz,\pxyz)	node [pos=.7,above] {$r$};
	\tdplotdrawarc [->,thin] {(0,0,0)} {.3} {0}{45}{below}{$\lambda$};
	\tdplotgetpolarcoords{\pxyz}{\pxyz}{\pxyz}
	\tdplotsetthetaplanecoords{45};
	\tdplotdrawarc [tdplot_rotated_coords,->,thin] {(0,0,0)} {.3} {90}{\tdplotrestheta}{right}{$\phi$};
	%\draw [->,dashed] (0,0,0) -- (-1.2,0);
	%\draw [->,dashed] (0,0,0) -- (0,-1.2,0);
	\draw [->,dashed,thin] (0,0,0) -- (0,0,-1.2);
	\tdplotsetthetaplanecoords{0};
	\tdplotdrawarc [tdplot_rotated_coords]{(0,0,0)}{1}{0}{180}{}{};
	\tdplotdrawarc [tdplot_rotated_coords,dotted] {(0,0,0)}{1}{180}{360}{}{};
	\tdplotsetthetaplanecoords{90};
	\tdplotdrawarc [tdplot_rotated_coords]{(0,0,0)}{1}{0}{360}{}{};
	\draw (0,0,0) + (0,0,1.1) node [left] {North Pole}
		 (0,0,0) + (.5,.7,-.3) node {\parbox{1.5cm}{Equator\\(0\degree latitude)}}
		 (0,0,0) + (0,-.5,.5) node {\parbox{1.9cm}{Prime meridian\\(0\degree longitude)}}
	;
	\draw [anchor=east,yshift=3pt]
		 (0,1.2,1.2) node {$\phi=$ latitude}
		 (0,1.2,1.12) node {$\lambda=$ longitude}
		 (0,1.2,1.04) node [blue!50] {$a=$ major axis}
		 (0,1.2,.96) node [purple!70] {$b=$ minor axis}
		 (0,1.2,.88) node [green!50!gray] {$x,y,z=$ ECEF position}
	;
	\draw [->,thin] (.4,.8,-.3) .. controls +(north east:1mm) and +(south east:1mm) .. ++(-.1,-.05,.24);
	\draw [->,thin] (0,-.4,.6) .. controls +(north:1mm) and +(west:1mm) .. ++(0,.27,.2);
	\draw [blue!50,decorate,decoration={brace,amplitude=5pt,mirror}] (0,0,0) -- (1,0,0) node [pos=.4,above left=2pt] {$a$};
	\draw [blue!50,decorate,decoration={brace,amplitude=5pt}] (0,0,0) -- (0,1,0) node [pos=.5,above=4pt] {$a$};
	\draw [purple!70,decorate,decoration={brace,amplitude=5pt}] (0,0,0) -- (0,0,1) node [pos=.5,left=4pt] {$b$};
\end{tikzpicture}
\end{document}

Licensing

Krishnavedala, the copyright holder of this work, hereby publishes it under the following licenses:
w:en:Creative Commons
attribution share alike
This file is licensed under the Creative Commons Attribution-Share Alike 3.0 Unported license.
Attribution:
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Under the following conditions:
  • attribution – You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use.
  • share alike – If you remix, transform, or build upon the material, you must distribute your contributions under the same or compatible license as the original.
GNU head Permission is granted to copy, distribute and/or modify this document under the terms of the GNU Free Documentation License, Version 1.2 or any later version published by the Free Software Foundation; with no Invariant Sections, no Front-Cover Texts, and no Back-Cover Texts. A copy of the license is included in the section entitled GNU Free Documentation License.
You may select the license of your choice.

Captions

ECEF model

Items portrayed in this file

depicts

7 December 2014

47,973 byte

image/svg+xml

3fdcc7fd0c5190f591a3c40c152299fd9509ec06

Category:Air navigation diagrams Category:CC-BY-SA-3.0 Category:GFDL Category:Images with LaTeX source code Category:License migration redundant Category:Military cartography Category:Navigation Category:Satellite orbital elements Category:Self-published work Category:Valid SVG created with LaTeX