User:Tohline/PGE/RotatingFrame
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Standard Steady-State Governing Relations
As viewed from a rotating frame of reference and written in Eulerian form, the steady-state version of the three-dimensional principal governing equations are:
<math> \nabla\cdot(\rho \vec{v}) = 0 </math>
<math> (\vec{v}\cdot \nabla)\vec{v} = -\nabla \biggl[H + \Phi -\frac{1}{2}\omega^2 R^2 \biggr] -2\vec{\omega}\times\vec{v} </math>
<math> \nabla^2 \Phi = 4\pi G \rho </math>
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