Chase.] ' ^^^ [June 18, 



mum velocity of possible cohesion in our system, is to the minimum velocity 

 of complete dissociation {or the velocity of light), as the diameter of a circle 

 is to its circumference. This relationship points to a kind of circular 

 polarization, induced by the resistance of centres of inertia, as the medi- 

 ate cause of aggregation by the primitive undulations. 



In the following table the principal harmonies -which I have pointed 

 out are synoptically shown. It should be remembered that («) = (It ) 

 cc l"^ oa t^ ; n --=-[/ 2 ^^ 7i ; the variants in the right-hand column are 

 symbols of electric dimensions. I have adopted Maxwell's notation with 

 the addition of an accent to mark the symbols of the electro-magnetic 

 system : 



M = - «"* (M) oc {vy oc (^, 



(^ ^ r.n^ (a) a (vf cc i^' 



2r = t: n^ (2r) oc (vy cc (E', || 



l3 =^ n' (,3) cc (vy oc (g, g', §', R/, § 



«o = -^° («o) oc (vy oc E', C, g, K, §', iJ^Q 



vj = 7tn> (v,) cc («)"' cc E, C, %', R, r< i2' 



«,/ = - n^ («//) cc («)■' o: L', ^t, K', (?, ij. 



y = t: V? (y) (X (vf^ cc m', e, p', r 



«//. = - n^ (»///) oc («)"* oc m, L, e', p, q' 



In this table, M = the primary modulus = twice the virtual fall, or the 

 height of a homogeneous sethereal atmosphere at Sun's surface, which 

 would progagate undulations with the velocity of light, the time of vir- 

 tual fall being half a solar rotation. 

 2r = Sun's diameter. 

 •zjq =; velocity of light. 

 «/ = maximum velocity communicable by solar attraction = 1/ '^gr ^* 



Sun's surface, 

 (»/) =: maximum velocity of orbital revolution in our system = V^gr' 



at Sun's surface. 

 till = mean equatorial velocity of radial oscillation with reference to 



the Central Sun, producing solar rotation. 

 (Vii) = equatorial velocity of solar rotation. 

 V/ii ■= falling velocity communicated, at Sun's equatorial surface, by 



virtual fall through the half-radius of a circumference ^ 



equivalent to a red wave-length. 

 If all the internal resistances of the Sun were converted into motion, 

 the values of (») and of all its powers would become unity, and all of the 

 above tabular values would become equivalent to the velocity of light. 



In one of my early papers on the correlations of gravity and magne- 

 tism,* while seeking experimental evidence of their mutual interde- 

 pendence, I called attention to the fact that only about jIq of the poten- 

 tial energy of gravity can be converted into actual energy, the re- 

 * Proc. A. P. S., ix, 356-7. 



