\begin{table}%T3
\caption{\label{table3}Parameters used for the best model.}
\small%\centerline
{
\begin{tabular}{l r r}
\hline \hline \smallskip
 & Model units$^{*}$ & Phys. units \\
\hline 
\multicolumn{3}{l}{\bf NW~model parameters}   \\
Number of particles in stellar disk & 8192 & \\
Disk total mass  & 0.54 &  $3.02 \times10^{10} ~ {M}_\odot$\\
Disk radial scale length  & 0.7 &  2.45~kpc\\
Disk vertical scale thickness  & 0.07 &  0.245~kpc \\
Reference radius $R_{\rm ref}$  & 1.3 & 4.55~kpc \\
Toomre Q at $R_{\rm ref}$  & 1.4 &  \\
Number of particles in gas disk & 8192 & \\
Gas disk total mass  & 0.054 &  $3.02 \times10^9 ~ {M}_\odot$ \\
Gas disk radial scale length  & 1.05 &  3.675~kpc \\
Gas disk vertical scale thickness  & 0.021 &  0.0735~kpc \\
Toomre Q at $R_{\rm ref}$  & 1.1  & \\
Number of particles in bulge & 1024 & \\
Bulge total mass  & 0.054 &  $3.02 \times10^9 ~ {M}_\odot$  \\
Bulge radial scale length  & 0.14 &  0.49~kpc \\
Number of particles in halo & 8192 & \\
Halo mass  & 2.04 &  $1.14 \times10^{11} ~ {M}_\odot$  \\
Halo cutoff radius  & 7.0 &  24.5~kpc \\
Halo core radius  & 0.7 &  2.45~kpc \\
\hline
\multicolumn{3}{l}{\bf SE~model parameters}   \\
Number of particles in stellar disk & 8192 & \\
Disk total mass  & 0.23 & $1.28 \times10^{10} ~ {M}_\odot$ \\
Disk radial scale length  & 0.6 & 2.1~kpc \\
Disk vertical scale thickness  & 0.06 & 0.21~kpc    \\
Reference radius $R_{\rm ref}$ & 1.5   & 5.25~kpc\\
Toomre Q at $R_{\rm ref}$    & 1.4   & \\
Number of particles in gas disk & 8192 & \\
Gas disk total mass  & 0.023 &  $1.28 \times10^{9} ~ {M}_\odot$ \\
Gas disk radial scale length  & 0.9  & 3.15~kpc \\
Gas disk vertical scale thickness  & 0.004 &  0.014~kpc \\
Toomre Q at $R_{\rm ref}$  & 1.1   & \\
Number of particles in bulge & 1024 & \\
Bulge total mass  & 0.046 &  $2.57 \times10^{9} ~ {M}_\odot$ \\
Bulge radialscale length  & 0.12 &  0.42~kpc \\
Number of particles in halo & 8192 & \\
Halo mass  & 0.86 &  $4.80 \times10^{10} ~ {M}_\odot$ \\
Halo cutoff radius  & 5.7 &  19.95~kpc \\
Halo core radius  & 0.57 &  1.995~kpc \\
 \hline
\multicolumn{3}{l}{\bf Encounter parameters from our best model}  \\
Pericenter distance  & 2.0  &  7.0~kpc \\
Present distance  & 2.4  & 8.4~kpc \\
 Pericenter vector direction$^{**}$  & (--0.933,   0.357,   0.0473)  &  \\
 Orbital plane normal vector direction$^{***}$ &  (0.067, 0.0432, 0.997) &   \\
Initial galaxy separation  & 12.6  &  44.1~kpc\\
\noalign{\smallskip} \hline
\end{tabular}}
\smallskip
 Notes: 
$^{*}$ Simulations were done in a system of units with
$G=1$. Model units scale to physical ones such that length unit is~3.5~kpc, unit velocity~262~km~s$^{-1}$, unit mass~$5.586
\times 10^{10} ~ {M}_\odot$, and unit time~13.062~Myr. $^{**}$ Vector components defined in a Cartesian reference
frame ($X$, $Y$, $Z$), with~$X$ to the North, $Y$ to the West, and~$Z$ in the line
of sight direction, with positive values towards the observer.
$^{***}$ The orbital plane's normal vector is the direction of the orbital
angular momentum (reference frame defined as in $^{*}$).
\end{table}