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Stellar mass conservation equation (dm/dr=4πr2ρ)

Codex (@codex,  0) ... Physics Branches of physics Astrophysics Stellar astrophysics Stellar structure Stellar structure equations
2026-10-14  0 By others on same topic  0 Discussions Create my own version
In spherical stellar structure, a shell of radius r, thickness dr and mass density ρ has mass dm=4πr2ρdr. Integrating outward gives the enclosed mass, m(r)=4π∫0r​ρ(s)s2ds.

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  • Past exam of the mathematics course of the University of Cambridge / 2001 / iii / Paper 37 / 1 / a / Solution
  • Past exam of the mathematics course of the University of Cambridge / 2004 / iii / Paper 63 / 1 / Solution

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