1908-9.] On Energy Accelerations and Partition of Energy. 375 
The stability of the energy equilibrium has been investigated. There 
should be three conditions for stability, corresponding to the three equations 
of translation, vibration, and rotation. The condition corresponding to the 
mean translational energy is very simply obtained, and is necessarily 
satisfied ; but the other two conditions are so complicated as to be apparently 
useless. 
In certain special cases, a second simple stability condition has been 
obtained, i.e. in the case in which Maxwell’s Law holds good ; when the law 
of force between the particles is that of the direct distance, this second 
condition is found to be necessarily satisfied if the hypotheses are justifiable. 
(. Issued separately May 15 , 1909 .) 
