 Parker wind equation

ID: parker-wind-equation

Codex  0 Created 2026-09-28 Updated 2026-11-05

For radial speed

u

c_{s}

, and central mass

M

, steady spherical mass and momentum conservation give

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

At a regular sonic point,

u = c_{s}

and

r = GM / (2 c_{s}^{2})

simultaneously.

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