INFRA-WORLD MECHANICS AND PHYSICS 43 

 proportional to ^ or, substituting the values for c 



\ f mr- V??i,r, 



and ^ -- ^- J . 



Now, it is easily seen (and proved by the calculus 

 of dimensions) that if the masses ??i and m x are 

 altered in any ratio, and the lengths n\ and R are 

 altered in any other ratio, the result will always bear 



the same ratio to the simple fraction - R ! 



Now, if 7/ij revolves about in, the centrifugal force 

 is --> where V is its orbital velocity. It follows 



immediately that if the velocity is kept constant, 

 and the masses and distances altered in any ratio we 

 please, the orbital motion will be maintained. For 

 the electrostatic attraction will always change in the 

 same ratio as the centrifugal force, and will always 

 just balance the latter. 



If the equation e= Jmr held throughout nature, 

 with a suitable differentiation of signs, all orbital 

 motions could be accounted for electrically. But a 

 more probable equation is e = D <Jmr, where D is the 

 average " world density." 



