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import graph3;
import solids;
import three;
import animate;
settings.render=2;
settings.tex="pdflatex";
settings.prc=false;
settings.thick=false;
settings.outformat="mpg";
currentprojection=orthographic(5,4,2);
currentlight=light(specular=black,(0.1,-0.1,1));
size(15cm,0);
animation A;
real Rst=20, Rl=0.7, Rtl=5;
real ast=20, est=0.3, bst=ast*sqrt(1-est^2), cst=ast*est;
real atl=5, etl=0.8, btl=atl*sqrt(1-etl^2), ctl=atl*etl;
real xST(real t) {return ast*cos(t)+cst;}
real yST(real t) {return bst*sin(t);}
real zST(real t) {return 0;}
real xTL(real t) {return atl*cos(27*t);}
real yTL(real t) {return btl*sin(27*t);}
real zTL(real t) {return 0;}
real xLl(real t) {return Rl*cos(27*t);}
real yLl(real t) {return Rl*sin(27*t);}
real zLl(real t) {return 0;}
real xTt(real t) {return Rtl*cos(100*(t))/5;}
real yTt(real t) {return Rtl*sin(100*(t))/5;}
real zTt(real t) {return 0;}
real xl(real t) {return xST(t)+xTL(t)+xLl(t);}
real yl(real t) {return yST(t)+yTL(t)+yLl(t);}
real zl(real t) {return 0;}
real xt(real t) {return xST(t)+xTt(t);}
real yt(real t) {return yST(t)+yTt(t);}
real zt(real t) {return 0;}
real xL(real t) {return xST(t)+xTL(t);}
real yL(real t) {return yST(t)+yTL(t);}
real zL(real t) {return 0;}
path3 Pl=graph(xl,yl,zl,0,2*pi,1000),Pt=graph(xt,yt,zt,0,2*pi,3000),
Pts=graph(xST,yST,zST,0,2*pi,500);
picture pic;
draw(pic,Pl,lightgray);
draw(pic,Pt,lightblue);
draw(pic,Pts,blue+dashed);
draw(pic,shift(cst,0,0)*scale3(Rtl/2)*unitsphere,yellow);
surface terre=scale3(Rtl/5)*unitsphere;
surface lune=scale3(Rl)*unitsphere;
int n=100;
real step=2pi/n;
for(int i=0; i < n; ++i) {
real k=i*step;
add(pic);
draw(shift(xL(k),yL(k),0)*lune,lightgray);
draw(shift(xST(k),yST(k),0)*terre,lightblue+lightgreen);
A.add();
erase();
}
A.movie(BBox(1mm,Fill(Black)),delay=500,
options="-density 288x288 -geometry 50%x");
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