OF ROTATING COMPRESSIBLE MASSES. 
175 
Table of Integrals. 
o 
(a = 1'19723, c= 0*69766.) 
J. 
I. 
H. 
G. 
F. 
A 
0-51589 
C 
0-96821 
AA 
0-22938 
0-18712 
AC 
0-47781 
0-28334 
CC 
1-05115 
0-45659 
AAA 
0-11850 
0-05953 
0-10177 
AAC 
0-26244 
0-10164 
0-13766 
ACC 
0-60567 
0-18302 
0-19425 
CCC 
1-44620 
0-34725 
0-28757 
A 4 
0-06589 
0-02406 
0-02506 
0-06585 
A 3 C 
0-15204 
0-04451 
0-03786 
0-08335 
A 2 C 2 
0-36257 
0-08599 
0-05983 
0-10849 
AC 3 
0-88791 
0-17349 
0-09857 
0-14629 
C 4 
2-22418 
0-36363 
0-17026 
0-20470 
A 5 
0-03828 
0-01102 
0-00826 
0.01322 
0-0469 
A 4 C 
0-09100 
0-02162 
0-01352 
0-01848 
0-0569 
A 3 C 2 
0-22240 
0-04381 
0-02321 
0-02656 
0-0704 
A 2 C 3 
0-55496 
0-09243 
0-04102 
0-03978 
0-0893 
AC 4 
1-41157 
0-20087 
0-07573 
0-06171 
0-1162 
A G 
0-02290 
0-00545 
0-00321 
0-00366 
0-0080 
A 5 C 
0-05570 
0-01120 
0-00555 
0-00557 
0-0105 
A 4 C 2 
0-13876 
0-02345 
0-01025 
0-00852 
0-0143 
A 3 C 3 
0-35131 
0-05136 
0-01881 
0-01407 
0-0198 
A 2 C 4 
0-90490 
0-11455 
0-03668 
0-02315 
0-0285 
A 7 
_ 
0-00284 
0-00138 
0-00123 
0-0019 
A 6 C 
— 
0-00608 
0-00247 
0-00201 
0-0027 
A 5 C 2 
— 
0-01294 
0-00496 
0-00314 
0-0040 
A 4 C 3 
— 
0-02948 
0-00904 
0-00586 
0-0057 
A 2 C 4 
• 
— 
0-06675 
0-01887 
0-00964 
0-0093 
Introducing the value (77) for 4c n , these become three linear equations in L, m 
and N, of which I find the solution to be 
L = M = n = 1*0273 (y-2)-1*0466 
l = m = 0-3488 (y-2)-0-2378 
N = 0-11845 (y-2)-0‘06328 
(exact solution). (79) 
This may be compared with the approximate solution obtained in § 16, which 
2 A 2 
