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\newcommand{\lsol}{{L$_{\odot}$}}
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\begin{document}

\setcounter{table}{0}

%Table 1

\begin{table*}[t]
\caption[]{Summary of existing models on IRC +10 216}
{\scriptsize
%\begin{flushleft}
\begin{tabular}{lllllllll} \hline
Ref. & $T_{\rm eff}$$^{(a)}$ & optical depth & $r_{\rm c}$ & $T_{\rm c}$$^{(a)}$ & grains & density  &$L/D^2$ & $\hspace{-3.0mm}$ constraints \\
 &(K)& & ($R_{\star}$) & (K) & & law  & (\lsol/kpc$^2$)  &  $\hspace{-3.0mm}$ \\ \hline
MR80 &2000 (A)&1$\mu$m = 14 & 20& 605 & Graphite+ 2\% SiC &$r^{-1.3}$ &525000 & $\hspace{-3.0mm}$ SED \\
 &      &    &   &   &  $a$ = 0.05 $\mu$m & & &  $\hspace{-3.0mm}$ \\
RRH83 &2000(A) &10$\mu$m = 0.63 & ? & 750 & Graphite & $r^{-2}$  & ?& $\hspace{-3.0mm}$ SED \\
MR87 & 2000 (A) & 11.1$\mu$m = 0.8 & 4.5 &1000 & AMC  &$r^{-2}$  & 775000 & $\hspace{-3.0mm}$ SED + 2.2, 11.3$\mu$m \\ 
     &          &                  &     & & $a$ = 0.05 $\mu$m ($a <$ 0.1) &  & &  $\hspace{-3.0mm}$ visibility curves \\
LB87 & 2200 (A) & 1$\mu$m = 10.0 & 5.4 & 1005 & ${\lambda}^{-1.3}$; $a \ll \lambda$ & $r^{-2}$  & 622000 & $\hspace{-3.0mm}$ SED \\
LB88 & 2200 (A) & 1$\mu$m = 9.0 & 6.3 & 930 & ${\lambda}^{-1.3}$ & $r^{-2}$  & 623000 & $\hspace{-3.0mm}$ SED \\
RK88 & 2000-2700 & 2.2$\mu$m = 5.7 & 5.0  & 1100 & AMC+SiC & $r^{-2.3}$$^{(b)}$ &  ? & $\hspace{-3.0mm}$ 1.6-11.3 $\mu$m \\ 
 &      &    &   &   &  assumed an albedo &  & & $\hspace{-3.0mm}$  visibility data \\
G90 & 2330 (A) & ? & 1.93 & 1000 & AMC+ 20\% SiC & $r^{-2}$ & 715000
& $\hspace{-3.0mm}$ SED + LRS \\
 &      &    &   & (A) &  0.005$<a<$0.05 $\mu$m& &  
& $\hspace{-3.0mm}$ + far-IR size\\
 &   &    &   &   &  power-law distr.  & &  & $\hspace{-3.0mm}$ \\ 
O90 & 1400 & ? & 2.5 &  ? & AMC; $a$ = 0.04 $\mu$m & $r^{-2}$  & ? 
& $\hspace{-3.0mm}$ SED \\
LML93 & 2100 & ? & 6 & 850 & AMC+ 3\% SiC & $r^{-2}$  & ? 
& $\hspace{-3.0mm}$ SED \\
     &          &                  &     & & $a$ = 0.05 $\mu$m & & 
& $\hspace{-3.0mm}$ \\
D94 & 2200 & 11$\mu$m = 1.24 & 2.3 & 1360 & AMC & $r^{-1.5}$  & 466000
& $\hspace{-3.0mm}$ Flux + visibility  \\
 &     &    &   &   & 0.005$<a<$0.25 $\mu$m & & & $\hspace{-3.0mm}$ at
11.15 $\mu$m \\
 &     &    &   &   & power-law distr. & &  & $\hspace{-3.0mm}$ \\
W94 & 2008 & 11.3$\mu$m=1.31 & 1.4 &1400 & AMC  &$(c)$  & 830000 & 
$\hspace{-3.0mm}$ SED + 2.2, 11.3$\mu$m \\ 
     &     &   &    & & $(d)$ &  & &  $\hspace{-3.0mm}$ visibility curves \\
B95  & 2010 (A) & ? & 3 & 1100 & AMC+ 5.6\% SiC & $r^{-2}$  & 679000 &
$\hspace{-3.0mm}$ SED + LRS\\
 &     &    &   &   & 0.005$<a<$0.25 $\mu$m & & &  $\hspace{-3.0mm}$ \\
 &   &    &   &   &  different distr.  &  & & $\hspace{-3.0mm}$ \\
IE96  & 2200 & 11$\mu$m= 0.3-0.4 & 5.1-8.5 & 750 & AMC+ 5\% SiC & $(e)$
& 667000 & $\hspace{-3.0mm}$ SED + LRS + 2.2, 5,  \\
&&&&&  different distr.  &&& $\hspace{-3.0mm}$ 10$\mu$m visibility curves \\
\hline
\end{tabular}
%\end{flushleft}
}

\noindent
References: MR80 = Mitchell \& Robinson (1980); RRH83 = Rowan-Robinson
\& Harris (1983); MR87 = Martin \& Rogers (1987); LB87 = Le Bertre
(1987); LB88 = Le Bertre (1988); RK88 = Ridgway \& Keady (1988); G90 =
Griffin (1990); O90 = Orofino et al. (1990); LML93 = Lorenz-Martins \&
Lef\`{e}vre (1993); D94 = Danchi et al. (1994); W94 = Winters et al. (1994); 
B95 = Bagnulo et al. (1995); IE96 = Ivezi\'{c} \& Elitzur (1996). \\
$^{(a)}$ An ``(A)'' means that the parameter value was assumed. 
$^{(b)}$ for $r \le$ 10 $R_{\star}$.
$^{(c)}$ Calculated from first principle.
$^{(d)}$ The grain size distribution is a result of the calculation.
$^{(e)}$ Density distribution calculated taking a constant mass loss
rate and a hydrodynamical calculation to determine the velocity law.

\end{table*}


%Table 2

\begin{table*}
\caption[]{Photometric data used in the modeling}
\small
\begin{flushleft}
\begin{tabular}{lcrlccl} \hline
Reference & Wavelength & Flux & Units & Beam width & Phase & Remarks \\
          & ($\mu$m)   &      &       & (\arcsec)  &       &         \\ \hline
Le Bertre (1987) & 0.55 & 1.81 (-15) & Wm$^{-2}$ & - & 0.06 \\
                 & 0.64 & 9.12 (-15) & Wm$^{-2}$ & - & 0.06 \\
                 & 0.79 & 7.35 (-14) & Wm$^{-2}$ & - & 0.06 \\
                 & 10.3 & 1.14 (-08) & Wm$^{-2}$ & - & 0.06 \\
Le Bertre (1988) & 0.55 & 4.64 (-16) & Wm$^{-2}$ & - & 0.09 \\
                 & 0.64 & 1.13 (-14) & Wm$^{-2}$ & - & 0.09 \\
                 & 0.79 & 1.38 (-13) & Wm$^{-2}$ & - & 0.09 \\
Miller (1970)    & 0.7 & 2.14 (-14) & Wm$^{-2}$ & 23.1 & 0.51 & continuum point in spectrum \\
                 & 0.8 & 9.00 (-14) & Wm$^{-2}$ & 23.1 & 0.51 & continuum point in spectrum  \\
                 & 0.9 & 3.00 (-13) & Wm$^{-2}$ & 23.1 & 0.51 & continuum point in spectrum  \\
                 & 1.0 & 6.60 (-13) & Wm$^{-2}$ & 23.1 & 0.51 & continuum point in spectrum  \\
                 & 1.1 & 1.36 (-12) & Wm$^{-2}$ & 23.1 & 0.51 & continuum point in spectrum  \\
Le Bertre (1992) & 1.2 & 8.93 (-12) & Wm$^{-2}$ & - & 0.00 & \\
                 & 1.2 & 1.18 (-12) & Wm$^{-2}$ & - & 0.50 & \\
                 & 1.65 & 1.05 (-10) & Wm$^{-2}$ & - & 0.00 & \\
                 & 1.65 & 1.47 (-11) & Wm$^{-2}$ & - & 0.50 & \\
                 & 2.2 & 7.11 (-10) & Wm$^{-2}$ & - & 0.00 & \\
                 & 2.2 & 1.09 (-10) & Wm$^{-2}$ & - & 0.50 & \\
                 & 3.8 & 7.59 (-09) & Wm$^{-2}$ & - & 0.00 & \\
                 & 3.8 & 1.66 (-09) & Wm$^{-2}$ & - & 0.50 & \\
                 & 4.7 & 1.35 (-08) & Wm$^{-2}$ & - & 0.00 & \\
                 & 4.7 & 3.49 (-09) & Wm$^{-2}$ & - & 0.50 & \\
                 & 8.3 & 1.53 (-08) & Wm$^{-2}$ & - & 0.00 & \\
                 & 8.3 & 7.07 (-09) & Wm$^{-2}$ & - & 0.50 & \\
                 & 9.4 & 1.33 (-08) & Wm$^{-2}$ & - & 0.00 & \\
                 & 9.4 & 5.60 (-09) & Wm$^{-2}$ & - & 0.50 & \\
                 & 12.0 & 9.62 (-09) & Wm$^{-2}$ & - & 0.00 & \\
                 & 12.0 & 5.39 (-09) & Wm$^{-2}$ & - & 0.50 & \\
                 & 18.1 & 3.89 (-09) & Wm$^{-2}$ & - & 0.00 & \\
                 & 18.1 & 2.04 (-09) & Wm$^{-2}$ & - & 0.50 & \\
Jones et al. (1990) & 1.65 & 8.71 (-11) & Wm$^{-2}$ & 20 & 0.00 & \\
                    & 1.65 & 1.51 (-11) & Wm$^{-2}$ & 20 & 0.50 & \\
                    & 2.3 & 6.92 (-10) & Wm$^{-2}$ & 20 & 0.00 & \\
                    & 2.3 & 1.32 (-10) & Wm$^{-2}$ & 20 & 0.50 & \\
                    & 3.5 & 5.70 (-09) & Wm$^{-2}$ & 20 & 0.00 & \\
                    & 3.5 & 1.09 (-09) & Wm$^{-2}$ & 20 & 0.50 & \\
                    & 4.8 & 1.53 (-08) & Wm$^{-2}$ & 20 & 0.00 & \\
                    & 4.8 & 4.21 (-09) & Wm$^{-2}$ & 20 & 0.50 & \\
                    & 8.6 & 1.88 (-08) & Wm$^{-2}$ & 20 & 0.00 & \\
                    & 8.6 & 8.99 (-09) & Wm$^{-2}$ & 20 & 0.50 & \\
                    & 10.7 & 1.52 (-08) & Wm$^{-2}$ & 20 & 0.00 & \\
                    & 10.7 & 7.26 (-09) & Wm$^{-2}$ & 20 & 0.50 & \\
                    & 12.2 & 1.53 (-08) & Wm$^{-2}$ & 20 & 0.00 & \\
                    & 12.2 & 7.34 (-09) & Wm$^{-2}$ & 20 & 0.50 & \\
                    & 18.0 & 5.88 (-09) & Wm$^{-2}$ & 20 & 0.00 & \\
                    & 18.0 & 3.38 (-09) & Wm$^{-2}$ & 20 & 0.50 & \\
Becklin et al. (1969) & 1.25 & 1.25 (-12) & Wm$^{-2}$ & - & 0.97 \\
                      & 1.65 & 1.27 (-10) & Wm$^{-2}$ & - & 0.97 \\
                      & 2.2  & 9.31 (-10) & Wm$^{-2}$ & - & 0.97 \\
                      & 3.5  & 6.02 (-09) & Wm$^{-2}$ & - & 0.97 \\
                      & 4.8  & 1.20 (-08) & Wm$^{-2}$ & - & 0.97 \\
                      & 10.1 & 1.15 (-08) & Wm$^{-2}$ & - & 0.97 \\
                      & 19.5 & 7.41 (-09) & Wm$^{-2}$ & - & 0.97 \\
Merrill \& Stein (1976) & 2-4 & -- & -- & ? & ? & spectrum \\
\hline
\end{tabular}
\end{flushleft}
\end{table*}

\setcounter{table}{1}

\begin{table*}
\caption[]{Continued}
\footnotesize
\begin{flushleft}
\begin{tabular}{lcrlccl} \hline
Reference & $\lambda$ & Flux & Units & Beam  & Phase & Remarks \\
          & ($\mu$m)  &      &       & (\arcsec)  &       &     \\ \hline
Hackwell (1972) & 2.3 & 1.91 (-10) & Wm$^{-2}$ & - & ? \\
                & 3.5 & 3.28 (-09) & Wm$^{-2}$ & - & ? \\
                & 4.8 & 6.10 (-09) & Wm$^{-2}$ & - & ? \\
                & 8.6 & 8.99 (-09) & Wm$^{-2}$ & - & ? \\
                & 10.8 & 8.73 (-09)  & Wm$^{-2}$ & - & ? \\
                & 12.2 & 8.83 (-09) & Wm$^{-2}$ & - & ? \\
                & 18.0 & 4.07 (-09) & Wm$^{-2}$ & - & ? \\
%Groenewegen et al. (1996) & 8-13 & -- & -- & 4.2 & 0.39 & spectrum \\
Treffers \& Cohen (1974) & 8-23 & -- & -- & ? & 0.14 & spectrum \\
IRAS LRS & 7-23 & -- & -- & 15 & 0.69-1.25 & spectrum; misaligned blue and red part \\
IRAS PSC&12&47.2 $\pm$ 3.8 &10$^3$ Jy & 60 & 0.69-1.25 & phase coverage over 1983 \\
        & 25  & 23.1 $\pm$ 1.9 &10$^3$ Jy & 60 & 0.69-1.25 &  \\
        & 60  & 5.7  $\pm$ 0.3 & 10$^3$ Jy & 120 & 0.69-1.25 & \\
        & 100 & 922 $\pm$ 461 & Jy & 220 & 0.69-1.25 & \\
Herter et al. (1982) & 16-36 & -- & -- & 26 & ? & spectrum \\
Rengarajan et al. (1985)&21& 23.5 $\pm$ 2.4 & 10$^3$ Jy &57$\times$72 & 0.61 \\
                      & 42 & 6.4 $\pm$ 0.7 & 10$^3$ Jy & 57$\times$72 & 0.61 \\
                    & 73 & 2.4 $\pm$ 0.3 & 10$^3$ Jy & 57$\times$72 & 0.61 \\
                      & 135 & 600 $\pm$ 200 & Jy & 57$\times$72 & 0.61 \\
Low et al. (1973) & 34 & 12600 & Jy & 25 & ? \\
Harvey et al. (1991) & 50 & 6.5 $\pm$ 2.0 & 10$^3$ Jy & ? & 0.49 \\
                     & 100 & 1.9 $\pm$ 0.6 &10$^3$ Jy & ? & 0.49 \\
Fazio et al. (1980) & 53 & 3.7 $\pm$ 1.3 & 10$^3$ Jy & 84 & 0.30 & recalibrated  from Cambell et al. (1976) \\
                    & 61 & 2.6 $\pm$ 0.3 & 10$^3$ Jy & 60$\times$90 & 0.45 \\
                    & 100 & 2.0 $\pm$ 0.7 &10$^3$ Jy & 84 & 0.30 & recalibrated  from Cambell et al. (1976)   \\
                    & 175 & 754  $\pm$ 514 & Jy & 84 & 0.30 &  recalibrated from Cambell et al. (1976)  \\
                    & 350 & 73 $\pm$ 19 & Jy & 96 & 0.16 &  recalibrated from Cambell et al. (1976)  \\

Phillips et al. (1982) & 377 & 35 $\pm$ 6.6 & Jy & 86 & 0.54 \\
                       & 811 & 9.8 $\pm$ 1.6 & Jy & 86 & 0.54 \\
                       & 1136 & 3.5 $\pm$ 0.9 & Jy & 86 & 0.54 \\
Sopka et al. (1985) & 400 & 32 $\pm$ 8 & Jy & 37 & 0.08 \\
                    & 450 & 29 $\pm$ 9 & Jy & 47 & 0.40 \\
                    & 900 & 9 $\pm$ 3 & Jy & 47 & 0.40 \\
Elias et al. (1978) & 1000 & 3.0 $\pm$ 1.3 & Jy & 60 & 0.83 \\
                    & 1000 & 2.4 $\pm$ 0.6 & Jy & 60 & 0.16 & recalibrated from Cambell et al. (1976) \\
\hline
\end{tabular}
\end{flushleft}

\noindent
The notation $a$ (-b) stand for $a$ 10$^{-b}$.

The phase is calculated adopting a period of 649 days and maximum light
(phase = 0.0) at JD = 2447483 (Le Bertre 1992).
\end{table*}


% Table 3

\begin{table*}
\caption[]{Visibility data}
\small
\begin{flushleft}
\begin{tabular}{clllccl} \hline
Wavelength & Reference  & Phase & Remarks \\
($\mu$m)   &            &       &         \\ \hline
1.65       & Ridgway \& Keady (1988) & 0.23 &  N-S and E-W scan; not 
used in model fitting  \\
2.2        & Dyck et al. (1984) & 0.91 &  N-S and E-W scan \\
2.2        & Dyck et al. (1987) & 0.06 &  Average over 4 position angles \\
3.5        & Mariotti et al. (1983) & 0.77 & PA = 90 and 150 \\
4.6        & Mariotti et al. (1983) & 0.54 & PA = 0, 60 and 120 \\
5.0        & McCarthy et al. (1980) & 0.96-0.05; 0.56; 0.86 & PA = 0 and 90 \\
8.4        & McCarthy et al. (1980) & 0.85-0.08; 0.18; 0.37 & PA = 0 and 90 \\
10.2       & McCarthy et al. (1980) & 0.81-0.08; 0.14 & PA = 0 and 90 \\
10.3       & Dyck et al. (1987) & 0.84 &  Average over 6 position angles \\
11.1       & McCarthy et al. (1980) & 0.50 & PA = 0 and 90 \\
11.11      & Sutton et al. (1979) & 0.92-1.06 & `west of meridian' \\
11.11      & Sutton et al. (1979) & 0.35-0.44 & `east of meridian' \\
11.15      & Danchi et al. (1994) & 0.93-1.25 & \\
\hline
\end{tabular}
\end{flushleft}

\noindent
The phase is calculated adopting a period of 649 days and maximum light
(phase = 0.0) at JD = 2447483 (Le Bertre 1992).
\end{table*}


\end{document}

