Adams-Williamson equation (source code)

= Adams-Williamson equation
{c}
{title2=$\rho^{\prime}=-\rho g/\Phi$}

In a chemically homogeneous adiabatic spherical region, $d\rho/dr=-\rho g/\Phi$, coupled to $dm/dr=4\pi r^2\rho$ and $g=Gm/r^2$. Seismic <velocities> supply $\Phi$; <density> normalization and jumps require further data and assumptions.