 Spherical Jeans equation

ID: spherical-jeans-equation

For a steady nonrotating spherical system,

\frac{d ( ρ σ _{r}^{2} )}{d r} + \frac{2 β}{r} ρ σ_{r}^{2} = - ρ \frac{d Φ}{d r} .

It relates radial pressure, velocity anisotropy, and the gravitational field.

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