Professor Baker, On the stability of rotating liquid ellipsoids 197 



dU 

 dt 



d {{1 + t^Y Va 



dt 



wherein 



leading to 



9 + 4^2 



9 + 7^2 

 3^4 (1 + t^y 



drj 

 Tt 



W^ 6 + 7^2 



1 + t^' {9-{- 7^2)2 • 



Hence a, and therefore the angular momentum, constantly in- 

 creases with the angle a, along the series of spheroids. 

 But, we may remark, 



n — , = o cos a ~~ 



277/)' fi 



increases with a only until 

 a 



\{i + ¥^)-^ 



3 cos aXJ, 



7(l+'^) = V+> 



2 



(approximately a = 68° 26', e = -93, giving ~ = -2247), and after- 



JiTTp 



wards diminishes. 



