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BEAnalysis

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1	1	= Jeans Analysis =
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	3	A uniform cloud of gas will collapse under gravity if its gravitational timescale is shorter than its thermal timescale. That is, if the freefall time of the gas, [[latex($t_{ff} ~ 1/(G\rho)^{1/2}$)]] is less than the time it would take for sound waves to attempt to equilibrate the matter distribution, or the sound-crossing time, [[latex($t_{sc}=R/C_s$)]], where R is the radius of the cloud and Cs is its sound speed.
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3	5	= The problem =