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Physics — Jeans Instability

When a gas cloud collapses to form a star.

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M_J = \left(\frac{5k_B T}{Gm}\right)^{3/2}\left(\frac{3}{4\pi\rho}\right)^{1/2}

M > M_J \Rightarrow \text{gravitational collapse}

\lambda_J = \sqrt{\frac{\pi k_B T}{G\rho m}}

\text{triggers star formation}