% Package tikz-planets -- illustrate celestial mechanics with TikZ
% Version 1.0.2
% Isabelle M. Santos
% This work is licensed under the Creative Commons Attribution-ShareAlike 4.0 International License.
% To view a copy of this license, visit
http://creativecommons.org/licenses/by-sa/4.0/
% This program is distributed in the hope that it will be useful,
% but WITHOUT ANY WARRANTY; without even the implied warranty of
% MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.
\ProvidesPackage{planets}[2020/04/19 v1.0.2 celestial mechanics with Tikz]
\RequirePackage{tikz}
\usetikzlibrary{decorations.pathmorphing}
\RequirePackage{xstring}
% Colors %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\RequirePackage{xcolor}
\definecolor{mercury_crater_edge}{rgb}{.44, .42, .41}
\definecolor{mercury_crater}{rgb}{.55, .54, .54}
\definecolor{venus1}{rgb}{1, 1, .85}
\definecolor{venus2}{rgb}{1, .87, .68}
\definecolor{venus3}{rgb}{.96, .87, .7}
\definecolor{uranus_gray}{rgb}{.69, .77, .87}
\definecolor{uranus_blue}{rgb}{.69, .93, .98}
\definecolor{neptune1}{rgb}{.27, .51, .71}
\definecolor{neptune2}{rgb}{.25, .41, .88}
\definecolor{neptune3}{rgb}{.53, .85, .95}
\definecolor{neptune4}{rgb}{.12, .56, 1}
\definecolor{neptune5}{rgb}{.42, .35, .8}
\definecolor{neptune_white}{rgb}{94, 1, 1}
\definecolor{pluto1}{rgb}{.82, .77, .71}
\definecolor{pluto2}{rgb}{.24, .18, .11}
\definecolor{brownish}{rgb}{.7, .58, .42}
\definecolor{wheat}{rgb}{.96, .87, .7}
\definecolor{yellowish}{rgb}{1, 1, .88}
\definecolor{orangish}{rgb}{.82, .71, .55}
\definecolor{pinkish}{rgb}{1, .85, .73}
\definecolor{sienna}{rgb}{.50, .26, .14}
\definecolor{greenish}{rgb}{.8, .78, .64}
\definecolor{whiteish}{rgb}{.98, .92, .84}
% Keys %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\newif\ifrotation
\newif\ifequator
\newif\ifaxis
\newif\ifretrograde
\newif\ifrings
\RequirePackage{pgfkeys}
\pgfkeys{
/planet/.is family, /planet,
surface/.estore in = \planets@surfacename,
tilt/.estore in = \planets@axialtilt,
phase/.estore in = \planets@phase,
rotation/.is if = rotation,
equator/.is if = equator,
axis/.is if = axis,
retrograde/.is if = retrograde,
rings/.is if = rings,
ring/.estore in = \planets@ringradius,
color/.estore in = \planets@mycolor,
center/.code={\pgfkeyssetvalue{center}{#1}\pgfkeysgetvalue{center}{\planets@center}},
centerx/.estore in = \planets@centerx,
centery/.estore in = \planets@centery,
scale/.estore in = \planets@scale,
default/.style = {
surface = none,
tilt = 0,
phase = full,
rotation = false,
equator = false,
axis = false,
retrograde = false,
rings = false,
ring =,
color = cyan,
centerx = 0,
centery = 0,
scale = 1,
}
}
% Decorators %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\newcommand{\planets@addaxis}{%
\draw [ultra thick] (0, 2) --(0, 1);
\draw [ultra thick] (0, -2) -- (0, -1);
\draw [dotted] (0, -1) -- (0, 1);
}
\newcommand{\planets@addequator}{%
% Equateur
\draw [dashed] (-1, 0) -- (1, 0);
}
\newcommand{\planets@addrotation}{%
\ifretrograde
% equator arrow
\draw [->, very thick] (0, 0) -- (-0.4, 0);
% axis arrow
\draw [->] (.3, 1.5) arc (320 : 220 : 0.4) ;
\else
% equator arrow
\draw [->, very thick] (0, 0) -- (0.4, 0);
% axis arrow
\draw [->] (-.3, 1.5) arc (220 : 320 : 0.4) ;
\fi
}
\newcommand{\planets@addsurfacephase}[1]{%
\IfEqCase{#1}{%
{new}{\fill [opacity=0.6, black] (0, 0) circle (1);}
{first half}{\fill [opacity=0.6, black] (90:1) arc (90:270:1) -- cycle;}
{last half}{\fill [opacity=0.6, black] (90:1) arc (90:-90:1) -- cycle;}
{first crescent}{\fill [opacity=0.6, black] (270:1) arc (135:225:-1.41) -- (90:1) arc (90:270:1) -- cycle;}
{last crescent}{\fill [opacity=0.6, black] (90:1) arc (90:-90:1) -- (-90:1) arc (225:135:1.41) -- cycle;}
{waxing gibbous}{\fill [opacity=0.6, black] (90:1) arc (90:270:1) -- (270:1) arc (225:135:1.41) -- cycle;}
{waning gibbous}{\fill [opacity=0.6, black] (90:1) arc (90:-90:1) -- (-90:1) arc (135:225:-1.41) -- cycle;}
{top half}{\fill [opacity=0.6, black] (0:1) arc (0:-180:1) -- (-180:1) -- cycle;}
{bottom half}{\fill [opacity=0.6, black] (0:1) arc (0:180:1) -- (180:1) -- cycle;}
{full}{}
}
}
\newcommand{\planets@drawringpath}[1]{
\path[#1, even odd rule]
(0, 0) circle [x radius = 1.3, y radius = .13]
(0, 0) circle [x radius = 1.7, y radius = .17]
(0, 0) circle [x radius = 1.75, y radius = .175]
(0, 0) circle [x radius = 2.1, y radius = .21];
}
\newcommand{\planets@addringphase}[1]{%
\IfEqCase{#1}{%
{new}{
\clip (-.85, -.25) -- (.85, -.25) -- (1, 0) -- (-1, 0) -- cycle;
\planets@drawringpath{inner color=black, outer color=black, opacity=.6}
}
{first half}{
\clip (-1, -.1) -- (-1, .1) -- (-2.2, 0) -- (-2.2, 0) -- cycle;
\planets@drawringpath{inner color=black, outer color=black, opacity=.6}
}
{last half}{
\clip (1, -.1) -- (1, .1) -- (2.2, 0) -- (2.2, 0) -- cycle;
\planets@drawringpath{inner color=black, outer color=black, opacity=.6}
}
{first crescent}{
\clip (-1.1, 0) -- (-1.5, -.22) -- (0, -.22) -- (1, 0) -- cycle;
\planets@drawringpath{inner color=black, outer color=black, opacity=.6}
}
{last crescent}{
\clip (1.1, 0) -- (1.5, -.22) -- (0, -.22) -- (-1, 0) -- cycle;
\planets@drawringpath{inner color=black, outer color=black, opacity=.6}
}
{waxing gibbous}{
\clip (-1.2, 0) -- (-1.5, .22) -- (0, .22) -- (1, 0) -- cycle;
\planets@drawringpath{inner color=black, outer color=black, opacity=.6}
}
{waning gibbous}{
\clip (1.2, 0) -- (1.5, .22) -- (0, .22) -- (-1, 0) -- cycle;
\planets@drawringpath{inner color=black, outer color=black, opacity=.6}
}
{top half}{
%pass
}
{bottom half}{
\planets@drawringpath{inner color=black, outer color=black, opacity=.6}
}
{full}{
%pass
}
}
}
\newcommand{\planets@addrings}{%
\planets@drawringpath{inner color=yellowish!90!black,outer color=yellowish!90!black}
}
\newcommand{\planets@addthinring}[1]{%
\def\a{#1}
\def\b{\a/7}
\def\x{ sqrt( (\a*\a-\b*\b*\a*\a) / (\a*\a-\b*\b) ) }
\def\y{ sqrt( 1 - (\a*\a-\b*\b*\a*\a) / (\a*\a-\b*\b) ) }
\begin{scope}
\clip (-{\x}, 0) -- ({\x}, 0) -- ({\x}, 1) --({{\a}}, 1) -- ({\a}, -1) -- (-{\a}, -1) -- (-{\a}, 1) -- (-{\x}, 1) -- (-{\x}, 0) -- cycle;
\draw[gray] (0, 0) circle ({\a} and {\b});
\end{scope}
}
% Surfaces %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\newcommand{\planets@sunsurface}{%
\draw [yellow!50, ultra thick, fill=yellow!85!red] (0, 0) circle (1);
}
\newcommand{\planets@mercurysurface}{%
\draw [gray!70!black, ultra thick, fill=gray] (0, 0) circle (1);
\draw [mercury_crater_edge, fill=mercury_crater] ( 0.5 , 0.56 ) circle ( 0.094 );
\draw [mercury_crater_edge, fill=mercury_crater] ( 0.23 , 0.31 ) circle ( 0.08 );
\draw [mercury_crater_edge, fill=mercury_crater] ( 0.03 , 0.65 ) circle ( 0.06 );
\draw [mercury_crater_edge, fill=mercury_crater] ( 0.17 , 0.79 ) circle ( 0.03 );
\draw [mercury_crater_edge, fill=mercury_crater] ( 0.15 , 0.15 ) circle ( 0.02 );
\draw [mercury_crater_edge, fill=mercury_crater] ( 0.17 , -0.07 ) circle ( 0.09);
\draw [mercury_crater_edge, fill=mercury_crater] ( 0.01 , -0.28 ) circle ( 0.08 );
\draw [mercury_crater_edge, fill=mercury_crater] ( 0.33 , -0.42 ) circle ( 0.07 );
\draw [mercury_crater_edge, fill=mercury_crater] ( 0.01 , -0.54 ) circle ( 0.06 );
\draw [mercury_crater_edge, fill=mercury_crater] ( 0.63 , -0.3 ) circle ( 0.06 );
\draw [mercury_crater_edge, fill=mercury_crater] ( 0.02 , -0.88 ) circle ( 0.06 );
\draw [mercury_crater_edge, fill=mercury_crater] ( 0.85 , -0.05 ) circle ( 0.04 );
\draw [mercury_crater_edge, fill=mercury_crater] ( 0.61 , -0.14 ) circle ( 0.03 );
\draw [mercury_crater_edge, fill=mercury_crater] ( 0.7 , -0.16 ) circle ( 0.01 );
\draw [mercury_crater_edge, fill=mercury_crater] ( -0.47 , -0.41 ) circle ( 0.08 );
\draw [mercury_crater_edge, fill=mercury_crater] ( -0.2 , -0.87 ) circle ( 0.07 );
\draw [mercury_crater_edge, fill=mercury_crater] ( -0.78 , -0.17 ) circle ( 0.03 );
\draw [mercury_crater_edge, fill=mercury_crater] ( -0.32 , -0.29 ) circle ( 0.02 );
\draw [mercury_crater_edge, fill=mercury_crater] ( -0.57 , -0.66 ) circle ( 0.02 );
\draw [mercury_crater_edge, fill=mercury_crater] ( -0.38 , 0.49 ) circle ( 0.1 );
\draw [mercury_crater_edge, fill=mercury_crater] ( -0.17 , 0.69 ) circle ( 0.09 );
\draw [mercury_crater_edge, fill=mercury_crater] ( -0.16 , 0.26 ) circle ( 0.09 );
\draw [mercury_crater_edge, fill=mercury_crater] ( -0.8 , 0.06 ) circle ( 0.08 );
\draw [mercury_crater_edge, fill=mercury_crater] ( -0.83 , 0.28 ) circle ( 0.007 );
\draw [mercury_crater_edge, fill=mercury_crater] ( -0.23 , 0.51 ) circle ( 0.006 );
}
\pgfdeclareverticalshading{Venus}{2cm}{
color(0cm)=(venus1);
color(0.3cm)=(venus2);
color(1cm)=(venus3);
color(1.7cm)=(venus2!90!black);
color(1.9cm)=(venus1)
}
\newcommand{\planets@venussurface}{%
\draw [color=brown!40, shading=Venus, ultra thick] (0, 0) circle (1);
}
\newcommand{\planets@earthsurface}{
% Globe
\draw [fill=cyan] (0,0) circle (1);
% Continents
\draw [very thin, green, fill=green!70!black] (0.5, 0.45) circle (.3 and .2) ;
\draw [very thin, green, fill=green!70!black] (0.7, -.2) circle (.2 and .5) ;
\draw [very thin, green, fill=green!70!black] (-.6, 0.4) circle (.25 and .2) ;
\draw [very thin, green, fill=green!70!black] (-0.6, -.2) circle (.3 and .4) ;
% Poles
\fill [white] (-0.423, 0.906) arc (115 : 65 : 1) -- cycle ;
\fill [white] (-0.423, -0.906) arc (65 : 115 : -1) -- cycle ;
% Edge
\draw [neptune3, ultra thick] (0,0) circle (1);
}
\newcommand{\planets@southpolesurface}{
% Globe
\draw [fill=cyan] (0,0) circle (1);
% Continents
\draw [very thin, green, fill=green!70!black] (0.71, 0.71) circle (.2) ;
\draw [very thin, green, fill=green!70!black, rotate=30] (0.51, -0.86) circle (.3 and .2) ;
\draw [very thin, green, fill=green!70!black] (-0.46, 0.39) -- (-0.77, 0.64) arc (140 : 155 : 1) -- cycle ;
% Pole
\draw [fill=white] (0,0) circle (.4);
% Edge
\draw [neptune3, ultra thick] (0,0) circle (1);
}
\newcommand{\planets@northpolesurface}{
% Globe
\draw [fill=cyan] (0,0) circle (1);
% Continents
\draw [very thin, green, fill=green!70!black] (0.75, 0.05) circle (.5 and .75) ;
\draw [very thin, green, fill=green!70!black] (-0.71, 0.61) arc (135 : 200 : 1) arc (-135 : -80 : 1.2) arc (245 : 150 : 1) -- cycle ;
% Pole
\draw [fill=white] (0, -0.3) arc (-30 : 0 : 1) arc (0 : 180 : 0.2) arc (20 : 5 : 2) -- cycle ;
% Edge
\draw [neptune3, ultra thick] (0,0) circle (1);
}
\newcommand{\planets@moonsurface}{%
% Disc
\draw [fill=gray!30] (0, 0) circle (1);
% Craters
\draw [gray!60, ultra thick, fill=gray!55] (-.55, .2) circle (.4);
\draw [gray!65, ultra thick, fill=gray!60] (-.1, .65) circle (.3);
\draw [gray!15, ultra thick, fill=gray!20] (-.2, -.5) circle (.1);
\draw [gray!75, ultra thick, fill=gray!70] (.4, .5) circle (.15);
\draw [gray!75, ultra thick, fill=gray!70] (.6, .3) circle (.15);
\draw [gray!55, ultra thick, fill=gray!50] (.2, -.2) circle (.2);
% Small craters
\draw [gray, very thick, fill=gray!80] (.1, -.7) circle (.05);
\draw [gray, very thick, fill=gray!80] (.8, -.2) circle (.05);
\draw [gray, very thick, fill=gray!80] (-.3, .7) circle (.05);
\draw [gray, very thick, fill=gray!80] (-.1, .6) circle (.05);
\draw [gray, very thick, fill=gray!80] (-.2, 0) circle (.05);
% Edge
\draw [gray!40, ultra thick] (0, 0) circle (1);
}
\newcommand{\planets@marssurface}{%
\draw [fill=red!50!brown] (0, 0) circle (1);
% Poles
\fill [white] (110:1) arc (110 : 70 : 1) -- cycle ;
\fill [white] (-110:1) arc (70 : 110 : -1) -- cycle ;
% Edge
\draw [color=red!60!black, ultra thick] (0, 0) circle (1);
}
\newcommand{\planets@marspolesurface}{
% Globe
\draw [fill=red!50!brown] (0, 0) circle (1);
% Pole
\draw [color=blue!50!white, fill=white, decorate, decoration={bumps, amplitude=.1}] (0,0) circle (.2);
% Edge
\draw [color=red!60!black, ultra thick] (0, 0) circle (1);
}
\newcommand{\planets@jupitersurface}{
\draw[color=brown!60, fill=brown!20, ultra thick] (0, 0) circle (1);
%Stripes
\clip (0, 0) circle (1);
\fill [color=brown!70, decorate, decoration={snake, segment length=5, amplitude=.2, post length=0}] (-1.2, -.25) -- (1.1, -.25) -- (1.1, .25) -- (-1.2, .25) -- cycle;
\fill [color=brown!70, decorate, decoration={snake, segment length=5, amplitude=.2, post length=0}] (130:1) -- (50:1) -- (50:2) arc (50:130:2) -- cycle;
\fill [color=brown!70, decorate, decoration={snake, segment length=5, amplitude=.2, post length=0}] (130:-1) -- (50:-1) -- (50:-2) arc (50:130:-2) -- cycle;
\fill [color=brown!30, decorate, decoration={snake, segment length=5, amplitude=.2, post length=0}] (-1.2, -.03) -- (1.1, -.03) -- (1.1, .03) -- (-1.2, .03) -- cycle;
\fill [color=brown!50, decorate, decoration={snake, segment length=5, amplitude=.2, post length=0}] (-1.2, .5) -- (1.1, .5) -- (1.1, .54) -- (-1.2, .54) -- cycle;
\fill [color=brown!50, decorate, decoration={snake, segment length=5, amplitude=.2, post length=0}] (-1.2, -.5) -- (1.1, -.5) -- (1.1, -.54) -- (-1.2, -.54) -- cycle;
% Spot
\fill[color=red!50!brown] (-.4, -.3) circle (.18 and .14);
}
\pgfdeclareverticalshading{Jupiter}{2cm}{
color(0cm)=(brownish);
color(0.2cm)=(wheat!55!sienna);
color(0.4cm)=(yellowish);
color(0.7cm)=(orangish);
color(0.9cm)=(white);
color(1cm)=(whiteish!70!orangish);
color(1.1cm)=(wheat);
color(1.3cm)=(sienna);
color(1.5cm)=(pinkish);
color(1.6cm)=(brownish);
color(1.7cm)=(white);
color(1.9cm)=(wheat!90!black)
}
\newcommand{\planets@shadedjupitersurface}{%
\draw [color=brown!50, shading=Jupiter, ultra thick] (0, 0) circle (1);
% Spot
\draw [brownish!50!orangish, thick, fill=orange!50!red] (-0.4, -0.25) circle (.13 and .1);
}
\pgfdeclareverticalshading{Saturn}{2cm}{
color(0cm)=(whiteish!55!black);
color(0.1cm)=(greenish!50);
color(0.15cm)=(whiteish);
color(0.25cm)=(greenish);
color(0.3cm)=(whiteish!50!orangish);
color(0.6cm)=(greenish);
color(0.7cm)=(wheat!90!black);
color(0.85cm)=(wheat);
color(0.95cm)=(pinkish);
color(1cm)=(pinkish);
color(1.1cm)=(wheat);
color(1.2cm)=(wheat!90!black);
color(1.3cm)=(greenish);
color(1.5cm)=(whiteish!50!orangish);
color(1.7cm)=(yellowish!70!orangish);
color(1.9cm)=(whiteish!55!sienna)
}
\newcommand{\planets@saturnsurface}{%
\draw [color=yellowish, shading=Saturn, ultra thick, shading angle=\planets@axialtilt] (0, 0) circle (1);
}
\newcommand{\planets@uranussurface}{%
\draw [color=uranus_gray, fill=uranus_blue, ultra thick] (0, 0) circle (1);
}
\pgfdeclareverticalshading{Neptune}{2cm}{
color(0cm)=(neptune1!90!black);
color(0.35cm)=(neptune2);
color(0.4cm)=(neptune_white);
color(0.45cm)=(neptune2);
color(1.2cm)=(neptune3);
color(1.6cm)=(neptune4);
color(1.9cm)=(neptune5)
}
\newcommand{\planets@neptunesurface}{%
\draw [color=blue!40, shading=Neptune, ultra thick, shading angle=\planets@axialtilt] (0, 0) circle (1);
}
\pgfdeclareverticalshading{Pluto}{2cm}{
color(0cm)=(pluto1);
color(.4cm)=(pluto2);
color(.7cm)=(pluto2);
color(1.2cm)=(pluto1);
color(1.9cm)=(pluto1)
}
\newcommand{\planets@plutosurface}{%
\fill [shading=Pluto, shading angle=\planets@axialtilt] (0, 0) circle (1);
\fill [pluto1, thick, domain=-150:100, samples=50]
plot ({ .67*sin(\x) * sin(\x) * sin(\x) + .5 },
{ .65 * cos(\x) - .2 * cos(2*\x) - .1 * cos(3*\x) - .05 * cos(4*\x) - .4 } );
\draw [color=pluto2!50, ultra thick] (0,0) circle (1);
}
\newcommand{\planets@genericsurface}{
\draw [color=white!50!\planets@mycolor, fill=\planets@mycolor, ultra thick] (0, 0) circle (1);
}
\newcommand{\planets@addsurface}[1]{%
\IfEqCase{#1}{%
{earth}{\planets@earthsurface}
{north pole}{\planets@northpolesurface}
{south pole}{\planets@southpolesurface}
{moon}{\planets@moonsurface}
{sun}{\planets@sunsurface}
{mars}{\planets@marssurface}
{mars pole}{\planets@marspolesurface}
{mercury}{\planets@mercurysurface}
{venus}{\planets@venussurface}
{jupiter}{\planets@jupitersurface}
{shaded jupiter}{\planets@shadedjupitersurface}
{saturn}{\planets@saturnsurface}
{uranus}{\planets@uranussurface}
{neptune}{\planets@neptunesurface}
{pluto}{\planets@plutosurface}
{none}{\planets@genericsurface}
}
}
% Main command %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\newcommand{\planet}[1][]{\begingroup%
\pgfkeys{/planet, default, #1}
\pgfkeysifdefined{center}{%if
% pass
}{%else
\def\planets@center{(\planets@centerx, \planets@centery)}
}
\IfStrEqCase{\planets@surfacename}{{saturn}{\ringstrue}}
\begin{scope}[shift = (\planets@center), scale = \planets@scale]
\ifrings
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\begin{scope}[rotate=\planets@axialtilt]% bottom half
\clip (0, 0) circle (1);
\planets@addsurface{\planets@surfacename}
\end{scope}
\begin{scope}
\planets@addsurfacephase{\planets@phase}
\end{scope}
\begin{scope}[rotate=\planets@axialtilt]
\planets@addrings
\planets@addringphase{\planets@phase}
\end{scope}
\begin{scope}[rotate=\planets@axialtilt]% top half
\clip (-1, 0) rectangle (1, 1);
\clip (0, 0) circle (1);
\planets@addsurface{\planets@surfacename}
\end{scope}
\begin{scope}
\clip (\planets@axialtilt : -1.1) -- (\planets@axialtilt : 1.1) -- (1.1, 1.1) -- (-1.1, 1.1) -- cycle;
\planets@addsurfacephase{\planets@phase}
\end{scope}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\else
\begin{scope}[rotate=\planets@axialtilt]
\clip (0, 0) circle (1);
\planets@addsurface{\planets@surfacename}
\end{scope}
\planets@addsurfacephase{\planets@phase}
\fi
\ifrotation
\begin{scope}[rotate=\planets@axialtilt]
\planets@addaxis
\planets@addequator
\planets@addrotation
\end{scope}
\fi
\ifequator
\begin{scope}[rotate=\planets@axialtilt]
\planets@addequator
\end{scope}
\fi
\ifaxis
\begin{scope}[rotate=\planets@axialtilt]
\planets@addaxis
\end{scope}
\fi
\IfStrEq{\planets@ringradius}{}{%
%pass
}{%
\begin{scope}[rotate=\planets@axialtilt]
\planets@addthinring{\planets@ringradius}
\end{scope}
}%
\end{scope}
\endgroup
}