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\Large\centerline{\bf Central Forces}
\normalsize\centerline{\bf Visualizing Spherical Harmonics}
\bigskip

Each group will be assigned a specific spherical harmonic, $Y_{\ell}^m(\theta,\phi)$. On your balloon, mark:
\begin{itemize}
\item $\theta=0$
\item $\phi=0$
\item The value of your $Y_{\ell}^m$ (using an Argand-like diagram) at several values of $\theta$ and $\phi$.
\end{itemize}

Answer the following questions:
\begin{enumerate}
\item What happens at the poles?
\vfill
\item How many times does the phase complete a full rotation around the equator?
\vfill
\item Compare with a group with a different spherical harmonic. How do they compare? What would happen if you add them together?
\end{enumerate}

\vfill
\leftline{\it by Corinne Manogue, Ethan Minot, Mary Bridget Kustusch}
\leftline{\copyright 2012 Corinne A. Manogue}
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