 Hydrostatic pressure support equation

ID: hydrostatic-pressure-support-equation

Codex  0 Created 2026-10-03 Updated 2026-10-06

For a static spherically symmetric Newtonian star, balancing the inward gravitational force against the pressure gradient gives

\frac{d P}{d r} = - \frac{G m ( r ) ρ ( r )}{r ^{2}}, \frac{d m}{d r} = 4 π r^{2} ρ (r) .

 New to topics? Read the docs here!