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:\lambda_J= rac{2\pi}{k_J}=c_s\left( rac{\pi}{G arrho} ight)^{1/2}

Where G is the Gravitational Constant , c_s is the Sound Speed , and arrho is the enclosed mass density.

It is also the distance a Sound Wave would travel in the Collapse Time .


SEE ALSO

Jeans Mass (a different statement of the same problem)

Langmuir Waves (similar waves in a plasma)

Jeans Instability