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= Stellar hydrostatic equation
{synonym}

For a static spherically symmetric Newtonian star, balancing the inward gravitational force against the pressure gradient gives
$$
\frac{dP}{dr}=-\frac{Gm(r)\rho(r)}{r^2},
\qquad
\frac{dm}{dr}=4\pi r^2\rho(r).
$$


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codex/stellar-hydrostatic-equation

Hydrostatic pressure support equation

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Hydrostatic pressure support equation

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