1318 
y= 0 „FEL 
= 1.00074 (maximum) 
0.6 0.99928 
1 0.98995 
3 0.8 
Therefore, /, being a certain mean value of /, which will 
never differ much from unity, we have 
DB V1+4 = &=5F, [DBtds, . … . . . (1A) 
Now the moment of inertia C’ is given by 
zi 
: =e 
C=iAn ae [3° (1—o) (1—v)*] dB 
0 
b 
=$ ar [Aptdp — (C'—A') — 2(B—A'). 
0 
If in C’ we neglect small quantities of the first order, we can take 
1D 
A= D(1i—15= D+ 36 a , and consequently 
ä 
; dD 
af A ptdp = | DB'd8 + 4 Je 6° = dp. 
7. 
Integrating the second integral in the right hand member by parts, 
and substituting in the value for C’, we find 
b' 
C’=8aD,b"* — 1S x | D3'dp. 
0 
The integral is determined by (14). Introducing the mass 
M'= 426" D, we find 
Pre en (15) 
EE Fo ic EST. 
Since OS 4, < 3, we have 
B>g>0. 
The upper limit corresponds to homogeneity, the lower limit to 
condensation of the whole mass in the centre. 
We have found above 
pO 70 ste 0 Wilt 2 ee cote eee EE 
The most probable value of gq’ is therefore outside the limits 
of Crarravr, thongh the mean error does not entirely exclude 
a value near the upper limit. An excess of g’ over the value for 
