Rotating-frame collisionless Boltzmann equation (source code)

= Rotating-frame collisionless Boltzmann equation
{title2=$dF/dt=0$}

= Collisionless Boltzmann equation in a rotating frame
{synonym}

In physical polar velocity components, a planar rotating system has accelerations $\dot v_R=2\Omega_bv_\phi+v_\phi^2/R+\psi_{\mathrm{eff},R}$ and $\dot v_\phi=-2\Omega_bv_R-v_Rv_\phi/R+\psi_{\mathrm{eff},\phi}/R$. The <Collisionless Boltzmann equation> is constant distribution along these characteristics. Its physical phase-space measure includes the spatial Jacobian $R$.