-582 Dr. A. 0. Crehore on an Atomic Model 



does not matter which sign, so that each atom is neutral, the 

 process is to add up the four different kinds of: expressions 

 obtained for rotors acting on rotors, for rotors acting on 

 stators, /@i = 0, for stators acting on rotors, /3 2 = 0, and for 

 stators acting on stators, both ft and ft = 0, each expression 

 being obtained from (63). The result is, with any equation 

 of the type of (63) in which there are no terms containing- 

 the product ftft, that in adding the four kinds of expres- 

 sions the whole cancels out, leaving the total force exactly 

 zero. 



On the other hand, by the use of an equation of the type 

 of (62), derived from the Saha theory, all that is left after 

 summing up the four expressions obtained from it is the pro- 

 duct term, and we have the average force upon body A due 

 to B, or upon B due to A, the following, 



F=^S(B, / 3 1 2 )2(E 2 /3 2 2 ). . . . (65) 



The specific inductive capacity k is here introduced because 

 it belongs in the equation to make the dimensions of the 

 right member equal a force. To be accurate, it should have 

 been written in all the equations from the beginning. 



If the force is written down between two neutral atoms 

 before any average is taken for ail orientations by means of 

 (59), the result is 



F = ~(Y 2 + nS(E 1 ft 2 )2(E 2 /5 2 2 )r- 2 . . . Q;&) 



Bearing in mind that (Y 2 -f f 2 )r 2 is the square of the perpen- 

 dicular distance from the centre of the first atom to the axis 

 of the second atom, the two axes now having definite fixed 

 directions, it is seen that the force varies from zero, when the 

 axis of the second atoms is directed toward the first atom, to 

 a maximum, when the first atom is in the equator of the 

 second atom. The force is, however, an attraction at 

 all times and never a repulsion, and obeys the inverse 

 square law. 



These two equations express with great completeness the 

 general features of the law of gravitation, which may be 

 written 



F = A; / M 1 M 2 r- 2 (67) 



Equations (65) and (67) become identical by writing mass 

 in the form 



