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Diffstat (limited to 'figs/ellipse.fig/ellipse.tikz.tex')
| -rw-r--r-- | figs/ellipse.fig/ellipse.tikz.tex | 86 |
1 files changed, 86 insertions, 0 deletions
diff --git a/figs/ellipse.fig/ellipse.tikz.tex b/figs/ellipse.fig/ellipse.tikz.tex new file mode 100644 index 0000000..96b6bff --- /dev/null +++ b/figs/ellipse.fig/ellipse.tikz.tex @@ -0,0 +1,86 @@ +\documentclass{standalone} + +\usepackage{xcolor} + +\definecolor{darkgreen}{HTML}{329D32} + +\usepackage{tikz} + +\begin{document} +\begin{tikzpicture}[scale=2.5] + +\draw[color=blue](0,0)ellipse(1.5 and 1.0); + +% angle of L +\def\tt{15} +% foci ae=sqrt(1-b^2/a^2) +\def\ae{1.118} +% collision point +\def\Px{0.5} +% Py=sqrt(1-Px^2/a^2) +\def\Py{0.943} +% slope Px/(a^2*sqrt(1-Px^2/a^2)) +\def\slope{0.236} +% phi: atan(\Py/(\ae+\Px)) +\def\ph{15.2} +% phi': pi-atan(\Py/(\ae-\Px)) +\def\php{108.2} +% lambda: pi-atan(\slope) +\def\lam{151.7} +% psi: pi+phi-lambda +\def\ps{43.5} +% h=sin(\ph)*sqrt((\Px+\ae)^2+Py^2) +\def\h{0.491} + +% foci +\path(-\ae,0)coordinate(F1); +\path(\ae,0)coordinate(F2); +% collision point +\path(\Px,\Py)coordinate(P); +%Q +\path(F1)++(90+\tt:\h)coordinate(Q); + +\draw[densely dotted](F1)++(\tt:3)--++(180+\tt:3.5); +\draw[densely dotted](F2)++(\tt:0.7)--++(180+\tt:3.5); +\draw[line width=1](P)++(\tt:1)--++(180+\tt:3.5); + +\draw[color=gray](F1)--(P)--(F2); + +\draw[color=darkgreen,dashed](P)--++(1,-\slope); +\draw[color=darkgreen,dashed](P)--++(-1,\slope); + +\draw[rotate=\tt](F1)++(0.4,0)arc(0:\ph:0.4); +\draw(F1)++(\tt+\ph/2:0.5)node{$\varphi$}; +\draw[rotate=\tt](F2)++(0.15,0)arc(0:\php:0.15); +\draw(F2)++(\tt+\php/2:0.25)node{$\varphi'$}; + +\draw[rotate=\tt](P)++(0.1,0)arc(0:\lam:0.1); +\draw(P)++(\tt+\lam/2:0.2)node{$\lambda$}; + +\draw[rotate=\tt+\lam](P)++(0.2,0)arc(0:\ps:0.2); +\draw(P)++(\tt+\lam+\ps/2-7:0.3)node{$\psi$}; +\draw[rotate=180+\tt+\lam](P)++(0.2,0)arc(0:-\ps:0.2); +\draw(P)++(\tt+180+\lam-\ps/2:0.3)node{$\psi$}; + + +\fill[color=red](F1)circle(0.03); +\draw(F1)++(0,-0.15)node{$O$}; +\fill(F2)circle(0.03); +\draw(F2)++(0,-0.15)node{$O'$}; + +\fill(P)circle(0.03); +\draw(P)++(\lam+\ps+90-\ps:0.15)node{$P$}; + +\fill(0,0)circle(0.03); +\draw(0,-0.15)node{$C$}; + +\fill(Q)circle(0.03); +\draw(Q)++(0,-0.15)node{$Q$}; + +\draw[dotted,<->](F1)++(\tt:-0.5)--++(90+\tt:\h); +\draw(F1)++(\tt:-0.6)++(90+\tt:\h/2)node{$h$}; + + +\end{tikzpicture} +\end{document} + |