62 



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



JAAAA= 0-0028 1568, 

 JAABB = 0'04232384, 

 JABBB = 0*1791995, 

 JACCC = G'5074646, 

 JBBCC = 1-611794, 



JAAAAA = 0'0006881964, 

 JAAABB = 0'01099071, 

 JAABBB = 0'04732648, 

 JAACCC = 0-1360144, 

 JABBCC = 0'4340725, 



I A = Q'9215282, 

 I AA = Q'0711382, 

 I BB = Q'3319454, 



I AAA = G'01040244, 

 I ABB = 0-06567633, 



JAAAB = 0'01053694, 

 JAABC = 0'05842981, 

 JABBC = 0'2518508, 

 JBBBB = 0'788915, 

 JBCCC = 2 32179J, 



JAAAAB = 0'002669728, 

 JAAABC = O'Ol 528665, 

 JAABBC = 0'06687764, 

 JABBBB = 0'2108169, 

 JABCCC = 0-6273273, 



I B = 1-3322118, 

 I AB = 0-1419990, 

 I BC = 0-3916228, 



I AAB = Q'02450100, 

 IABC = 0-07967602, 



JAAAC = 0'01421838, 

 JAACC = 0'08133328, 

 JABCC = 0-3563870, 

 JBBBC = 1 '124336, 

 Jcccc = 3-361221, 



JAAAAC = 0'003639559, 

 JAAAOO = 0'02 142202. 

 JAABCC = 0'09532252. 

 JABBBC = 0'3016727, 

 JACCCC = 0-910874, 



Ic= 1-4265252, 



IAC = 0-1611871, 

 I cc = G'4670439, 



I AAC = 0-02874219, 

 I ACC = 0-09762467, 



IBBB = 0'19794510, 



= 0'2478016, I BCC = 0'3131750, I C cc = 0'3996337, 



IAAAA = 0'001859707, 

 IAABB = 0'01423688, 

 IABBB = 0'04573358, 

 IACCC = 0-0963965, 

 IBBCC = 0-2714534, 



IAAAB = 0'004874751, 

 IAABC = O'0 176 1100, 

 IABBC = 0'05813153, 

 IBBBB = 0'1590430, 

 I BOCC = G'3590070, 



IAAAO = 0'005853759, 

 IAACC = 0'02198620, 

 IABCC = 0-07452920, 

 IBBBC = 0'2070218, 

 I cccc = 0-4811801, 



Evaluation of the Coefficients c n , c l2 , .... 



29. It will be noticed that the coefficients c n , c l2 , ... are linear in a 2 , a/3, ... , 

 L', M', N', ... , p', q', r', s' so that the various contributions may be calculated 

 separately and independently. 



Contributions from Terms in p', q', r', s'. 



As regards the contributions from these coefficients, we may take (cf. equations 

 (125) and (126)) 



' K 6 = 0, 



a 



