Causes and consequences of magnetic cloud expansion

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Table 1:

Definition of the main non-dimensional variables.
Symbol^a		Definition	Quantity
$\tilde{D}$	=	$D / D_{\rm o}$	distance of the axis apex to the Sun
$\tilde{L}$	=	$L(D) / L( D_{\rm o} )$	flux rope length
$\tilde{ P_{\rm t} }$	=	$\frac{\varpi(D)}{\varpi( D_{\rm o} )} \frac{ P_{\rm t} (D)}{ P_{\rm t} ( D_{\rm o} )}$	total pressure at the flux rope boundary
$\tilde{r}_{\rm o}$	=	$r_{\rm o} / R_{\rm o}$	radial coordinate of the reference field
$\tilde{r}$	=	$( \tilde{ P_{\rm t} } )^{1/4} ~ r/ R_{\rm o}$	radial coordinate
$\tilde{B}$	=	$( \tilde{ P_{\rm t} } )^{-1/2}~ B/B_{\rm c,o}$	magnetic field strength at r
$\tilde{B}_{\rm c}$	=	$( \tilde{ P_{\rm t} } )^{-1/2}~ B_{\rm c} /B_{\rm c,o}$	magnetic field strength at the center
$\tilde{s}$	=	$\tilde{L} ~( \tilde{ P_{\rm t} } )^{1/4}$	size factor
$\tilde{a}_{\rm o}$	=	$Appl.~Opt. R_{\rm o}$	amount of twist for the GH field
$\tilde{A}_{\rm o}$	=	$A_{\rm o} / R_{\rm o}$	axial field extension for the SP field

^a The non-dimensional variables (with a ~ on top) are normalized at the reference field, that is labeled with a ``o'' subscript. The reference field is at a distance $D_{\rm o}$ from the Sun, it has a radius $R_{\rm o}$ and a central field strength $B_{\rm c,o}$ . The value of B taken at the flux rope center have a ``c'' subscript. GH means Gold & Hoyle and SP ``split'' (see Sects. 3.1 and 3.2).

Source LaTeX | All tables | In the text

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