Hydrostatic pressure support equation

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) .

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Homology relations for radiative stars
Hydrostatic lower bound on planetary central pressure
Past exam of the mathematics course of the University of Cambridge / 2018 / iii / Paper 317 / 2 / i / Solution
Past exam of the mathematics course of the University of Cambridge / 2019 / iii / Paper 315 / 3 / a / Solution
Past exam of the mathematics course of the University of Cambridge / 2019 / iii / Paper 317 / 1 / i / Solution
Past exam of the mathematics course of the University of Cambridge / 2019 / iii / Paper 317 / 3 / ii / a / Solution
Past exam of the mathematics course of the University of Cambridge / 2019 / ii / Paper 3 / 9B / Solution

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