- #1
jkrivda
- 8
- 0
I need to show that the critical (Jeans') mass for a hydrogen cloud of uniform density to begin gravitational collapse can be expressed as:
M=(v^4)/((P^.5)(G^1.5))
Where v is the isothermal sound speed, and P is the pressure associated with the density ρ and temperature T.
I don't really know where to start. I have found a lot of derivations for the Jeans' Mass, however, none of them relate to the isothermal speed of sound. I assume I have to do some algebraic manipulations, I just need some help getting started.
Thanks!
M=(v^4)/((P^.5)(G^1.5))
Where v is the isothermal sound speed, and P is the pressure associated with the density ρ and temperature T.
I don't really know where to start. I have found a lot of derivations for the Jeans' Mass, however, none of them relate to the isothermal speed of sound. I assume I have to do some algebraic manipulations, I just need some help getting started.
Thanks!