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Maple for PlanetPhysics (Definition)


\begin{maplelatex}\mapleinline{inert}{2d}{%[poincare, generate_ic, zoom, hamilto... ...{\it generate\_ic},{\it zoom},{\it hamilton\_eqs}\ \mbox{}]$} \end{maplelatex}

\begin{maplelatex}\begin{Maple Heading 1}{\textbf{The Toda \htmladdnormallink{Ha... ...brary.org/encyclopedia/Hamiltonian2.html}}}\end{Maple Heading 1}\end{maplelatex}

\begin{maplelatex}\begin{Maple Normal}{\textbf{Reference:}A.J. Lichtenberg and M... ...(2*q2+2*sqrt(3)*q1) + exp(2*q2-2*sqrt(3)*q1) + exp(-4*q2))-1/8;}\end{maplelatex}

\begin{maplelatex}\mapleinline{inert}{2d}{%H := p1^2/2+p2^2/2+1/24*exp(2*q2+2*3^... ...,{\it q2}-2\,\sqrt {3}{\it q1}}}+1/24\,{e^{-4\,{\it q2}}}-1/8$} \end{maplelatex}

\begin{mapleinput} \mapleinline{active}{1d}{\textbf{H, t=-150..150, \{[0,.1,1.4,.1,0]\}:}}{} \end{mapleinput}

\begin{mapleinput} \mapleinline{active}{1d}{\begin{Maple Normal}{\textbf{poincare(%, stepsize=.05,iterations=5);}(12 sec.)}\end{Maple Normal}}{} \end{mapleinput}


\begin{maplelatex}\mapleinline{inert}{2d}{%_____________________________________... ...\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_}\end{displaymath}} \end{maplelatex}

\begin{maplelatex}\mapleinline{inert}{2d}{%\lq H = .99005020\lq , \lq Initial conditions... ...,\,{\it p1}= 0.1,\,{\it p2}= 1.4,\,{\it q1}= 0.1,\,{\it q2}=0$} \end{maplelatex}

\begin{maplelatex}\mapleinline{inert}{2d}{%\lq Number of points found crossing the ... ...tt \lq Number of points found crossing the (p1,q1) plane: 127\lq }}$} \end{maplelatex}

\begin{maplelatex}\mapleinline{inert}{2d}{%\lq Maximum H deviation : .5740000000e-5 %\lq }{ $\mbox {{\tt \lq Maximum H deviation : .5740000000e-5 \%\lq }}$} \end{maplelatex}

\begin{maplelatex}\mapleinline{inert}{2d}{%_____________________________________... ...\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_}\end{displaymath}} \end{maplelatex}

\begin{maplelatex}\mapleinline{inert}{2d}{%\lq Time consumed: 12 seconds\lq }{ $\mbox {{\tt \lq Time consumed: 12 seconds\lq }}$} \end{maplelatex}


\includegraphics{poly.eps}



\begin{maplelatex}\begin{Maple Normal}{Figure 1.a. shows a 2-D surface-of-sectio... ... intersection points lying on smooth curves. }\end{Maple Normal}\end{maplelatex}

\begin{mapleinput} \mapleinline{active}{1d}{\begin{Maple Normal}{\textbf{poincar... ...05,iterations=5,scene=[p2,q2]);}(13 sec.)}\end{Maple Normal}}{} \end{mapleinput}



"Maple for PlanetPhysics" is owned by bloftin.

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Cross-references: motion, regular, hamiltonian

This is version 9 of Maple for PlanetPhysics, born on 2005-09-02, modified 2005-09-03.
Object id is 97, canonical name is MapleForPlanetPhysics.
Accessed 1455 times total.

Classification:
Physics Classification: 01.30.Xx (Publications in electronic media )
Pending Errata and Addenda
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