\begin{table}%t1
\caption{Results from fitting of the geometrical and physical 
parameters for the magnetic cloud of October~18--20, 1995, choosing the 
end time as 20-October-1995 00:00~UT (i.e., at $t=29$ in 
Figs.~\ref{Fig_MVfits_bz},~\ref{Fig_MVfits_by},~\ref{Fig_flux_cancellation}). 
 The first four~rows correspond to the orientation given by the 
minimum variance  method (MV, Sect.~\ref{Sect_MV}), while the next 
four to a~simultaneous fit (SF, Sect.~\ref{Fitting}).  The next two~rows are the mean and 
the maximum deviation from the mean of the parameters 
found with the eight above models and methods.  The bottom three rows 
give the results of the direct method for the in-bound and out-bound parts of 
the flux rope, and the full back part of the~MC (see 
Sect.~\ref{Sect_computed_fluxes_hel}).  L, G, H, C refer to 
the Lundquist, Gold-Hoyle, Hidalgo et~al.  and Cid et~al.  models, 
respectively, and~D to the direct method.  The geometrical parameters 
are: the angle~($\theta$) between the axis of the tube and the 
ecliptic plane (i.e., its latitude), the angle~($\varphi$) between the 
projection of the cloud axis on the ecliptic plane and 
the $x$-axis of GSE (i.e., its longitude),  the flux tube radius~($R$), and the impact 
parameter~($p$) measured in units of~$R$.  The two~physical parameters 
of the models are: the twist angle per unit length~($\tau _0$) and the 
intensity of the field~($B_0$), both computed at the cloud axis.  The 
quality of the fitting is given by the square root of~$\chi^2$ 
(Eq.~(\ref{chi-square})).  Finally, we give the axial magnetic flux~($F_z$) and quantities defined per unit length along the cloud axis: 
the azimuthal magnetic flux and magnetic helicity~($F_\phi/L$ and~$H/L$).}
 \label{table_res}
%\centering
\small
\begin{tabular}{l|crlc|rrc|ccc}
\hline \hline
\noalign{\smallskip}
 Model & $\theta$ & $\varphi$~ & ~$R$ & $p/R$ & $\tau _0 $~~ & $B_0$~ &
 $\sqrt{\chi^2}$ & $F_z$ & $F_\phi/L$ & $H/L$ \\
 -Method &&& AU && AU$^{-1}$ & nT~ & nT & 10$^{21}$~Mx & 10$^{21}$~Mx/AU &
 10$^{42}$~Mx$^2$/AU \\
 \hline
 L-MV      & --2 & 288 & 0.13 & 0    & 9.6  & 24.3 & 8.1 & 1.15 & 2.98 & 4.6 \\
 G-MV      & --2 & 288 & 0.13 & 0    & 14.9 & 26.0 & 8.7 & 1.32 & 3.06 & 4.1 \\
 H-MV      & --2 & 288 & 0.13 & 0    & 9.0  & 22.6 & 6.3 & 0.94 & 3.87 & 5.3 \\
 C-MV      & --2 & 288 & 0.13 & 0    & 11.4 & 17.9 & 6.1 & 1.12 & 3.88 & 6.0 \\
 \hline
 L-SF      &  5 & 288 & 0.13 & 0.11 & 9.5  & 24.9 & 7.4 & 1.20 & 3.05 & 4.9 \\
 G-SF      &  4 & 295 & 0.13 & 0.03 & 15.4 & 26.4 & 8.0 & 1.23 & 3.11 & 3.7 \\
 H-SF      &  4 & 285 & 0.14 & 0.12 & 8.4  & 23.9 & 5.5 & 1.03 & 4.43 & 6.0 \\
 C-SF      &  4 & 289 & 0.13 & 0.09 & 11.1 & 18.4 & 5.4 & 1.14 & 3.88 & 6.1 \\
  \hline
 mean      &  1 & 289 & 0.13 & 0.04 & 11.2 & 23.1 &     & 1.14 & 3.53 & 5.1 \\
 deviat.   &  4 &   6 & 0.01 & 0.08 &  4.2 &  5.2 &     & 0.20 & 0.90 & 1.2 \\
  \hline
 D-MV in   & --2 & 288 & 0.13 & 0    &      &      &     & 0.86 & 2.50 & 2.6 \\
 D-MV out  & --2 & 288 & 0.13 & 0    &      &      &     & 0.51 & 2.50 & 1.3 \\ 
 D-MV back & --2 & 288 & 0.13 & 0    &      &      &     & 0.68 & 5.80 & 5.4 \\  
\hline
  \end{tabular}
 \end{table}