Vugyro geometry - Theory Group

Equilibrium -> Geometry Arrays

Obtain plots of Miller geometry coefficients as functions of $\theta\,\!$ . Large-aspect-ratio limiting forms are plotted as dotted curves.

GEO FUNCTION GEO_nu $\nu(r,\theta) \rightarrow -q\theta \,\!$ GEO_gsin $\mbox{gsin}(r,\theta) \rightarrow\sin(\theta) \,\!$ GEO_gcos1 $\mbox{gcos}_1(r,\theta) \rightarrow\cos(\theta)\,\!$ GEO_b $B(r,\theta)\,\!$ GEO_jb $G_\theta(r,\theta) = \frac{\mathcal{J}_\psi B}{q R_0} \rightarrow 1$ GEO_gradr $\left| \nabla r\right| (r,\theta) \rightarrow 1\,\!$ GEO_gq $G_q(r,\theta) = \frac{1}{q} \left( \frac{rB}{R B_p} \right)\rightarrow 1$ GEO_kxoky $\Theta(r,\theta) = - R |\nabla r| \frac{B_p}{B} \frac{\partial\nu}{\partial r} \rightarrow s\theta - q^2 R_0 \frac{d\beta}{dr} \sin(\theta)\,\!$