( 167 ) 
This equation has, according to C, being positive or negative, 
the solutions : 
Cy ond c rVc 
ay + —x = Ae aii + Be Va 
a 
or 
oF 
ay + a a= A, sin (ry/-C) + «) 
1 
in which A, B, A; and @ are arbitrary constants. 
The potential function becomes therefore: 
Aan eae Behe Cy 
5 =— => 3 1E 
p(r) C. (9) 
or 
A, sin (r Y-C C 
she) Oe vereren 
tie C, 
{f we put C,= 9° in the first case and ( = — g° in the second 
case, the potential functions become : 
4 Aen Bas | C, 
Pr rr RORE ae 
r J 
or 
A,sin(grta) Co 
ne ae (Ga) 
r q 
If we restrict ourselves to functions which relate to forces as 
they occur in nature, the second potential function must be 
exeluded, and according to an above mentioned remark, the most 
general expression becomes: 
gee Be 6 
ta 
r 
p(r) = (5b) 
The factor F (2) is determined by equation 1. This equation be- 
comes identical with equation 4, if we put Cy=0. The general so- 
lution becomes therefore: 
‘ Me!” + Ne Ee 
I (R) mamie BEN ie. ° . « . . . (7) 
