User:Tohline/Math/EQ CT99Axisymmetric

From VistrailsWiki
Jump to navigation Jump to search

LSU Key.png

<math>~\Phi(\varpi,z)\biggr|_\mathrm{axisym}</math>

<math>~=</math>

<math>~ - \frac{G}{\pi} \iint\limits_\mathrm{config} \biggl[ \frac{\mu}{(\varpi~ \varpi^')^{1 / 2}} \biggr] K(\mu) \rho(\varpi^', z^') 2\pi \varpi^'~ d\varpi^' dz^' </math>

<math>\mathrm{where:}~~~\mu \equiv \{4\varpi \varpi^' /[ (\varpi+\varpi^')^2 + (z-z^')^2]\}^{1 / 2}</math>