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The formula for Jeans Length is: : where is Boltzmann's Constant , is the temperature of the cloud, is the radius of the cloud, is the mass per particle in the cloud, is the Gravitational Constant and is the cloud's mass density (i.e. the cloud's mass divided by the cloud's volume). {Link without Title} Perhaps the easiest way to conceptualize Jeans' Length is in terms of a close approximation, in which we discard the factors and and in which we rephrase as . The formula for Jeans' Length then becomes: : It is then immediately obvious that when i.e. the cloud's radius is the Jeans' Length when thermal energy per particle equals gravitational work per particle. At this critical length the cloud neither expands nor contracts. It is only when thermal energy is not equal to gravitational work that the cloud either expands and cools or contracts and warms, a process that continues until equilibrium is reached. JEANS' LENGTH AS OSCILLATION WAVELENGTH The Jeans' Length is the oscillation wavelength below which stable oscillations rather than gravitational collapse will occur. : Where G is the Gravitational Constant , is the Sound Speed , and is the enclosed mass density. It is also the distance a Sound Wave would travel in the Collapse Time . SEE ALSO
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