66 ME. J. H. JEANS ON THE POTENTIAL OF ELLIPSOIDAL BODIES, AND 



separately. For these values I find the following, the upper value being that derived 

 from equation (109) : 



4c w = O'OOIOIOSO , 0747552 1'86947 

 0-00101078 ~0747550 1'8694G 



2-40989 0-004975-3 0'0076531 

 + /' m n. 



2-40992 0-0049754 0'0076515 



Contribution from terms in a 2 , aft, ..., &c. 



31. For the computation of these contributions it is convenient to .take the standard 

 set of value obtained in 24, namely 



a' = 4 = -l, /3' = 75 = G'3081810, y' = \ = 0'1604294, 



* v '/ U 



K =.- -i (;5 a ' + /3' + y') = 0-506278. 

 These give the values 



a = -3-556343, ft = Q'2046890, y = 0'06791892, 



a" = 12-647573, /3 2 = 0'041897G, y 2 = 0'004612981, 



aft = -07279442, ay = -0'2415430, fty = 0'01390225. 



Then, as regards the terms in a 2 , aft, ..., &c., including K , we find (cf. equations 

 (125) and (126)) 



a~\a 2 



5/c 2 



3a y /3y K K 



K K 



giving on substitution of numerical values, as regards terms in a 2 , a/3, ... only 



K! = -19-91885, K 2 = 0-1102214, K 3 = 0'04221664,- 

 K 4 = 0-3603665, K 8 = 3'556845. 



