STABILITY OF THE PEAR-SHAPED FIGURE OF EQUILIBRIUM. 
7 
i. s. 
a. 
b. 
c. 
d. 
e. 
/• 
*2 0 
*2 2 
0-603374 
-0-039203 
0-923128 
0-923128 
4 0 
4 2 
4 4 
1•000000 
1-769147 
0-083965 
5-442161 
- 36-154264 
- 7-984389 
4-892138 
-44-93584 
95-562431 
6 0 
16 2 
|6 4 
1•000000 
-8-4 
3-78 
12-45814 
121-8 
-338-312 
29-55340 
439•425 
3680-303 
18-53561 
320•523 
4482-844 
8 0 
1•00000 
23•29297 
103-90805 
155•9554 
74-7977 
10 0 
1-00000 
38-29978 
274-94458 
721-88640 
789-90216 
306-12784 
i. s. 
a. 
V. 
c. 
d'. 
c . 
/'• 
*2 0 
*2 2 
0-603374 
-0-039203 
0-076872 
0-076872 
4 0 
4 2 
4 4 
0-806905 
1-065020 
1-013640 
0-365661 
- 1-812415 
-8-026680 
0-027371 
-0-187586 
8-000000 
6 0 
t6 2 
|6 4 
0-62544 
-1-1408 
1■0305 
0-64882 
1-5349 
-7-704 
0-12816 
0-4404 
6 ■ 944 
0-00669 
0-0264 
0-704 
8 0 
0-440664 
0-854891 
0-317488 
0-396793 
0-001585 
10 0 
0-289818 
0-924288 
0-552512 
0-120795 
0-011006 
0-000355 
* The second harmonics are here defined by = k 2 - q s 2 - k 2 cos 2 9, (t-f = x~ - q h ? + k ' 2 sin' 2 <j> (s = 0, 2) 
with js 2 = 4[1 + k 2 + N /(l - kV 2 )], Math the upper sign for s = 0 and the lower for $ = 2. In the case of 
i = 4, s = 2, I had in the original paper inadvertently changed the sign both of |[| 4 2 and (Cr without, 
of course, introducing any error, since they occur always as a product, 
t These functions are only given in their approximate forms. 
As it is desirable to use the other form of ^ in the higher zonal harmonics, I give 
the coefficients f 0 , f 2 , / 4 , &c., in these cases. It will be noticed how much smaller are 
the numbers involved. 
