\begin{table}
%\centering
\par
\caption{Velocity equations using orientation and total velocity.}
\label{ta:vvtheta}
\setcounter{equation}{3}
\begin{eqnarray}
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\noalign{\smallskip}
\nu & = & \nu_0
   \frac{\sqrt{c^2 - \vv\sub{s}^2}}
        {c + \vv\sub{s}\sin\theta} , \\
\Dfrac{\nu}{\vv\sub{s}} & = & -c\nu_0
   \frac{\vv\sub{s}+c\sin\theta}
        {(c + \vv\sub{s}\sin\theta)^2 \sqrt{c^2 - \vv\sub{s}^2}} , \\
\lambda & = & \lambda_0
   \frac{c + \vv\sub{s}\sin\theta}
        {\sqrt{c^2 - \vv\sub{s}^2}} , \\
\Dfrac{\lambda}{\vv\sub{s}} & = & c\lambda_0
   \frac{\vv\sub{s} + c\sin\theta}
        {(c^2 - \vv\sub{s}^2)^{3/2}} , \\
\vv\sub{s} & = & c 
   \frac{-\chi^2\sin\theta \pm \psi}
        {\chi^2 + \psi^2} , \label{eq:vspace} \\
{\rm where} && \chi = \frac{\nu}{\nu_0} = \frac{\lambda_0}{\lambda} , \\
{\rm and}   && \psi = \sqrt{1 - \chi^2\cos^2\theta} , \\
\noalign{\smallskip}
\Dfrac{\vv\sub{s}}{\nu} & = & \frac{1}{\nu_0} \Dfrac{\vv\sub{s}}{\chi} , \\
\Dfrac{\vv\sub{s}}{\lambda} & = & \frac{-\lambda_0}{\lambda^2}
   \Dfrac{\vv\sub{s}}{\chi} , \\
{\rm where} && \Dfrac{\vv\sub{s}}{\chi} = -c\chi
   \frac{2\psi\sin\theta \pm (1 + \psi^2\sin^2\theta)}
        {\psi(\chi^2 + \psi^2)^2} \cdot~~~~~~~~~~~~~~~~ \label{eq:dvsdchi} \\
\noalign{\smallskip}
\cline{1-4}\nonumber
\end{eqnarray}
\end{table}