Table 1: 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. 235). The first four rows correspond to the orientation given by the minimum variance method (MV, Sect. 4.2), while the next four to a simultaneous fit (SF, Sect. 4.3). 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. 5.4). 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 (B0), both computed at the cloud axis. The quality of the fitting is given by the square root of $\chi ^2$ (Eq. (16)). Finally, we give the axial magnetic flux (Fz) and quantities defined per unit length along the cloud axis: the azimuthal magnetic flux and magnetic helicity ($F_\phi /L$ and H/L).

Model
$\theta $ $\varphi $   R p/R $\tau _0$   B0  $\sqrt{\chi^2}$ Fz $F_\phi /L$ H/L
-Method     AU   AU-1 nT  nT 1021 Mx 1021 Mx/AU 1042 Mx2/AU
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
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
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
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

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