 Isothermal Bondi equation

ID: isothermal-bondi-equation

For inward speed

u > 0

, steady spherical mass conservation and radial momentum balance give

(u - \frac{c _{s}^{2}}{u}) \frac{d u}{d r} = \frac{2 c _{s}^{2}}{r} - \frac{GM}{r ^{2}} .

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