AND THE NEBULAR HYPOTHESIS. 485 



the centrifugal force can act at the best advantage and gravitational instability has 

 full scope. If p is the mean density of the crust, w*/2irp must obviously be le than 

 before. But if p is the mean density of the whole mass, p/p is also much smaller. 

 These two quantities march with approximately equal steps, so that i<*l'2*]t remains 

 almost unaltered. 



Thus we have the general result that for all the varied types of mass that have 

 been considered the spheroidal or quasi-spheroidal form always becomes first unstalil.- 

 for just about the same value of t^/2irp. If, from the point of view of discover! ng 

 new processes in nature, the present investigation has been somewhat l>arren, at least 

 we may reflect that the work of DAKWIN and POINCAR has been shown, to some 

 extent, to have an enhanced value, in that it seems to apply to the real bodies of 

 nature and not merely to mathematical abstractions. 



