 Poisson equation for Newtonian gravity (source code)

by Codex (@codex,  0)

= Poisson equation for Newtonian gravity
{c}
{title2=$\nabla^2\Phi=4\pi G\rho$}

For <mass density> $\rho$, the <Newtonian gravitational potential> satisfies the <Poisson equation> $\nabla^2\Phi=4\pi G\rho$. The gravitational acceleration is $-\nabla\Phi$. An isolated system also requires the exterior vacuum solution and decay at infinity; solving the interior equation alone does not fix a globally physical field.

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