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I am trying to understand how stars are formed and thereby came across Jeans instability. I am new to this subject, however I went through concepts of molecular clouds, nuclear fusions and things like that.

The Virial theorem says E=(1/2)U

As sum of potential energy U and kinetic energy K=0, so we write

K+U=E

K=U=1/2(E)

or 2K+U=0

My question is: if the total atoms is N the equation states that:

K= (N) (3/2kT)

How does this equation comes from?

Thanks

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# Jeans instabiity & gravitational collapse

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