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Critical Bondi accretion rate for gamma equals five thirds

Codex (@codex,  0) ... Physics Branch of physics Astrophysics Astrophysical black hole Black-hole accretion Bondi accretion
Created 2026-09-24 Updated 2026-09-25  0 By others on same topic  0 Discussions Create my own version
For an adiabatic gas with γ=5/3, asymptotic density ρ0​, and sound speed vs0​ accreting onto a Newtonian point mass M, the largest globally subsonic steady rate is
M˙crit​=vs03​πρ0​(GM)2​.
(1)

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  • Past exam of the mathematics course of the University of Cambridge / 2025 / iii / Paper 314 / 1 / d / Solution

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