A SWARM OP METEORITES, AND ON THEORIES OF COSMOGONY. 
Hence, the whole energy lost in the concentration of the isothermal nucleus is 
27 
f X ?? dx. 
dx dx^ 
But 
= 3 (f'A - 
\c^7o 
_ 9 ' 9 ^0 
Hence, the energy lost is Mv^ isothermal S23here of minimum 
temperature = ^p, and thus the total lost energy is ^Mvq^. 
Again, in the adiabatic layer an element of mass is 
and, therefore, the energy lost by its fall from infinity is 
S-Mv 2 _ rlT 
and the whole loss of energy is the integral of this from x = 1 to a; = ‘359. When 
X = 1, 2 = 1) and when x = ‘359, 2 ; = 0. Hence 
rl A 
■L 
•359 
■359 
Thus, the whole energy lost in the adiabatic layer is 
dfy„ 
h+ 
■359 
Add this to the energy found before for the isothermal part, and the whole lost 
energy of the system is found to be 
1 
+r 
-359 
dx 
(36) 
N 9w let us evaluate the total kinetic energy existing in the form of agitation of 
molecules. 
E 2 
