A. Hinrichs on the Density, Rotation, and Age of the Planets. 53 
mutual action of both kinds of particles there will arise a couple 
N in any plane a, y, equal to 
N=3™ (ex ¥8) [/(0) 90h (26) 
if x, y and §, 7 are the codrdinates of m and 4, r their mutual 
distance and f and ¢ their laws of mutual action. Now this sum 
2 of the couples for all particles in the universe can only be 
zero either by 
ay—yS=o0, i.e. = (27) 
or K(r)—9¢(r)=0, ie. f(r)=9(r). (28) 
But (27) can only be satisfied if m and ware in the same radius 
vector from the origin of the codrdinates; hence (27) cannot be 
satisfied in general. Hence if we have 
fo\Zalr), (29) 
then N cannot be zero; if N,, N,, are the resulting couples for 
the other codrdinate planes, there results a force of gyration in the 
matter filling space 
Ga (N?-LN)2-LN,2) > 0, (30) 
which is always positive. Hence, : 
If the law of repulsive particles, », differs from the law of attractive 
particles, f, then a rotation wi nee : 
The laws of magnetic and electric attraction and repulsion 
Seem to be at variance with such an inequality, and even 
Principle that action and reaction are equal; but we may well 
remark that the slightest difference for any atomic distance 
would be sufficient, and that the grouping of several repelling 
atoms “ around one attracting atom m may well be _— 
i 
With a difference between action and reaction as taken in 
usual signification. : sent 
If this non-identity of the two forces of material nature is ad- 
Mitted, we see a rotation of the nebulous matter to be a direct 
consequence of this inequality ; by attraction the matter acquires 
a globular form, the effected rotation produces a flattening of 
the globe,—and from this moment the axis of rotation will re- 
main stationary. By continued attraction the size diminishes, 
ter, a 
Ting is formed, produci lanet with its satellites, the whole 
sats med, producing a p : ys . 
