
Structure of the Atom. 239 
The radial repulsion exerted by the sth corpuscle on the 
pth is equal to 
2 1 
dr, (7 +17 —2r 7,cos(0,—0,) + (2,—%,)")*’ 
expanding this, retaining only the first powers of p, ¢, and z, 
we find that iE Fy. 18 this repulsion 
R 
Pers ee ee Gray 
— 2 + yaary) HGF) cot yf 
where y=(p—s) = 
The tangential force ©,, tending to increase @, is equal to 
e i 
ce r do, sr,+ r—2r 7,008 (8,— 8,)+ (z,—2,)" b?? 

expanding this and retaining only the first powers of the 
small quantities, we get 
e? cos aya alvey \ 
On = — fa Gry (Fe 7g eho) cot +4 tan) 
Zs, the force at right angles to the undisturbed plane of 
the orbit, is easily seen to be given by the equation 
e 
Lye = 8a? sin? yp (2p —4s). 
The total radial force R, exerted on the dae corpuscle by 
all the other corpuscles, is equal to 
2 


7,29 Po’ —=ppteAr.prs— A= $pseBp. pts 
1 1 1 
where By +e 
5 . aay 2} 
sin— sin— sin \——__— 
n nN n” 
aah  % i 1 
fonts é ma |S eee ee 
- = ga(3(- ee ae) e=De) 
sn— sin— sin ———__—_ 
n n n 

7, 1 1 
ay. eae ; ae scr) 
n n 
sin 
tT 
S 2 
