LaTeX Forum

\documentclass[11pt,a4paper,fleqn]{article}
\usepackage[utf8]{inputenc}
\usepackage{amsmath}
\usepackage{changepage}
\usepackage{booktabs}
\usepackage{geometry}
\usepackage{hyperref}
\usepackage{ifthen}
\usepackage{todonotes}
\usepackage[ngerman]{babel}
\geometry{a4paper, top=30mm, left=30mm, right=30mm, bottom=30mm,
headsep=10mm, footskip=12mm}
\setlength\mathindent{0 cm}

\usepackage{tikz}
\usepackage{pgfplots}
\pgfplotsset{compat=newest}
\usetikzlibrary{calc,intersections,matrix,arrows,pgfplots.polar}
\usepgfplotslibrary{polar}
\begin{document}
\begin{tikzpicture}
	\begin{axis}[axis equal,width=400pt,clip=false,
	axis lines=middle,
	hide x axis, hide y axis
	]
	\addplot[dotted,samples=100, domain=0:2*pi]
	({cos(deg(x))}, {sin(deg(x))});
	\addplot[dotted,samples=100, domain=0:2*pi]
	({0.25*cos(deg(x))}, {0.25*sin(deg(x))});
	\addplot[dotted,samples=100, domain=0:2*pi]
	({0.5*cos(deg(x))}, {0.5*sin(deg(x))});
	\addplot[dotted,samples=100, domain=0:2*pi]
	({0.75*cos(deg(x))}, {0.75*sin(deg(x))});
	\addplot[samples = 100,domain=0:360] ({1.1*cos(x)},{1.1*sin(x)});
	\addplot [dotted,data cs=polar] coordinates{(0,0) (0,1.1)};
	\addplot [dotted,data cs=polar] coordinates{(30,0) (30,1.1)};
	\addplot [dotted,data cs=polar] coordinates{(60,0) (60,1.1)};
	\addplot [dotted,data cs=polar] coordinates{(90,0) (90,1.1)};
	\addplot [dotted,data cs=polar] coordinates{(120,0) (120,1.1)};
	\addplot [dotted,data cs=polar] coordinates{(150,0) (150,1.1)};
	\addplot [dotted,data cs=polar] coordinates{(180,0) (180,1.1)};
	\addplot [dotted,data cs=polar] coordinates{(210,0) (210,1.1)};
	\addplot [dotted,data cs=polar] coordinates{(240,0) (240,1.1)};
	\addplot [dotted,data cs=polar] coordinates{(270,0) (270,1.1)};
	\addplot [dotted,data cs=polar] coordinates{(300,0) (300,1.1)};
	\addplot [dotted,data cs=polar] coordinates{(330,0) (330,1.1)};
	
	\addplot [data cs=polar] coordinates{(0,1.1) (0,1.15)};
	\addplot [data cs=polar] coordinates{(30,1.1) (30,1.15)};
	\addplot [data cs=polar] coordinates{(60,1.1) (60,1.15)};
	\addplot [data cs=polar] coordinates{(90,1.1) (90,1.15)};
	\addplot [data cs=polar] coordinates{(120,1.1) (120,1.15)};
	\addplot [data cs=polar] coordinates{(150,1.1) (150,1.15)};
	\addplot [data cs=polar] coordinates{(180,1.1) (180,1.15)};
	\addplot [data cs=polar] coordinates{(210,1.1) (210,1.15)};
	\addplot [data cs=polar] coordinates{(240,1.1) (240,1.15)};
	\addplot [data cs=polar] coordinates{(270,1.1) (270,1.15)};
	\addplot [data cs=polar] coordinates{(300,1.1) (300,1.15)};
	\addplot [data cs=polar] coordinates{(330,1.1) (330,1.15)};
	\addplot [->,data cs=polar] coordinates{(0,0) (0,1.05)}
	[yshift=-12pt]
	node[pos=0]{$\displaystyle 0$}
	node[pos=0.95]{$\displaystyle R_0$};
	\node at (axis cs:{1.25*cos(0)},{1.25*sin(0)}) {$\displaystyle0$};
	\node at (axis cs:{1.25*cos(30)},{1.25*sin(30)}) {$\displaystyle\frac{1}{6}\pi$};
	\node at (axis cs:{1.25*cos(60)},{1.25*sin(60)}) {$\displaystyle\frac{2}{6}\pi$};
	\node at (axis cs:{1.25*cos(90)},{1.25*sin(90)}) {$\displaystyle\frac{3}{6}\pi$};
	\node at (axis cs:{1.25*cos(120)},{1.25*sin(120)}) {$\displaystyle\frac{4}{6}\pi$};
	\node at (axis cs:{1.25*cos(150)},{1.25*sin(150)}) {$\displaystyle\frac{5}{6}\pi$};
	\node at (axis cs:{1.25*cos(180)},{1.25*sin(180)}) {$\displaystyle\pi$};
	\node at (axis cs:{1.25*cos(210)},{1.25*sin(210)}) {$\displaystyle1\frac{1}{6}\pi$};
	\node at (axis cs:{1.25*cos(240)},{1.25*sin(240)}) {$\displaystyle1\frac{2}{6}\pi$};
	\node at (axis cs:{1.25*cos(270)},{1.25*sin(270)}) {$\displaystyle1\frac{3}{6}\pi$};
	\node at (axis cs:{1.25*cos(300)},{1.25*sin(300)}) {$\displaystyle1\frac{4}{6}\pi$};
	\node at (axis cs:{1.25*cos(330)},{1.25*sin(330)}) {$\displaystyle1\frac{5}{6}\pi$};
	\addplot[samples at={0,pi/6,...,2*pi}, variable=\t,	quiver={
		u={-sin(deg(t))},	v={cos(deg(t))},	scale arrows=0.2}, ->,blue]
	({cos(deg(t))}, {sin(deg(t))});
	\addplot[samples at={0,pi/6,...,2*pi},
	variable=\t,
	quiver={
		u={-0.5*sin(deg(t))},
		v={0.5*cos(deg(t))},
		scale arrows=0.2},
	->,blue]
	({0.5*cos(deg(t))}, {0.5*sin(deg(t))});
	\addplot[samples at={0,pi/6,...,2*pi},
	variable=\t,
	quiver={
		u={-0.75*sin(deg(t))},
		v={0.75*cos(deg(t))},
		scale arrows=0.2},
	->,blue]
	({0.75*cos(deg(t))}, {0.75*sin(deg(t))});	
	\addplot[samples at={0,pi/6,...,2*pi},
	variable=\t,
	quiver={
		u={-0.25*sin(deg(t))},
		v={0.25*cos(deg(t))},
		scale arrows=0.2},
	->,blue]
	({0.25*cos(deg(t))}, {0.25*sin(deg(t))});			
	\end{axis}
\end{tikzpicture}

\end{document}

\documentclass[11pt,a4paper,fleqn]{article}
\usepackage[utf8]{inputenc}
\usepackage{amsmath}
\usepackage{amsfonts}
\usepackage{amssymb}
\usepackage{changepage}
\usepackage{booktabs}
\usepackage{geometry}
\usepackage{hyperref}
\usepackage{ifthen}
\usepackage{todonotes}
\usepackage[ngerman]{babel}
\geometry{a4paper, top=30mm, left=30mm, right=30mm, bottom=30mm,
headsep=10mm, footskip=12mm}
\setlength\mathindent{0 cm}

\usepackage{tikz}
\usepackage{pgfplots}
\pgfplotsset{compat=newest}
\usetikzlibrary{calc,intersections,matrix,arrows,pgfplots.polar}
\usepgfplotslibrary{polar}
\begin{document}
\begin{tikzpicture}
	\begin{polaraxis}[width=300pt,xtick={0,30,...,330},
	ytick={0,1,1.5},
	major grid style={dotted},  
	minor grid style={dotted},  
	minor x tick num=1,
	minor y tick num=1,
	]
	%\addplot [domain=0:5] (x,sin(2*x)); % (angle,radius)
	%		\addplot coordinates {(180,2) (0,0)};
	\addplot[data cs=cart,samples=20, domain=0:360,
	% the default choice ’variable=\x’ leads to
	% unexpected results here!
	variable=\t,
	quiver={
		u={-sin((t))},
		v={cos((t))},
		scale arrows=0.5},
	->,blue]
	({cos((t))}, {sin((t))});
	\end{polaraxis}
\end{tikzpicture}
	\\
\begin{tikzpicture}
	\begin{axis}[axis equal,
	axis lines=middle,
	axis line style={->},
	tick style={color=black},
	xtick=\empty,
	ytick=\empty
	]
	\addplot[samples=20, domain=0:2*pi,
	% the default choice ’variable=\x’ leads to
	% unexpected results here!
	variable=\t,
	quiver={
		u={-sin(deg(t))},
		v={cos(deg(t))},
		scale arrows=0.5},
	->,blue]
	({cos(deg(t))}, {sin(deg(t))});
	\addplot[samples=100, domain=0:2*pi]
	({cos(deg(x))}, {sin(deg(x))});
	\end{axis}
\end{tikzpicture}
\end{document}