Chase.l 4,)() f jan. 5 and Feb. 2, 



On Centres of Aggregation and Dissociation. 



By Pliny Earle Chase, LL.D., Phofessor of Philosophy in Haveh- 



FORD College. 



{Read before the American Philosophical Society, Jan. ^, and Feb. 3, 1877.) 



I. Ethereal Influences in the Solar System. 



The velocity of rotation varies as the square rooi of tl>e velocity of 

 gravitating fall. Therefore, if the velocity of planetary revolution (/^) 

 at Sun's equatorial surface be taiien to represent the velocity of eethcreal 

 rotation at the same point, the present alliereal atmospheric limit, at wiiich 

 the equatorial velocity of rotatitm would be equal to that of the aHlicreal 

 undulations which drive particles towards centres of inertia, is near the outer 

 limit of the asteroidal belt, at ( V^Light-Modulus~= 688.3 golar radii = 

 3.204 Earth's mean vector-radii). The mean proportional between 

 Earth's mean disUince and Saturn's* secular aphelion is 3.216 (1.) 



We have found that the velocity at the {ethereal atmospheric limit (the 

 velocity of liglit\ is the limiting mean radial velocity, at the point of 

 equilibrium between the velocity of complete dissociation and the velocity 

 of incipient aggregation. The limiting tangential velocity, at the point of 

 equilibrium between complete aggregation and incipient dissociation, is, 



therefore,! — of the velocity of light, which is the velocity of oethereal ro- 



tation at 219.09 solar radii, Earth's mean distance being 214.86 (2.) 



We have also foundj: that Jupiter, tlie largest extra-asteroidal, and Earth, 

 the largest intra -asteroidal planet, are connected by a common limiting radial 

 velocity, the indications pointing to nucleal or rotating influences in the 

 case of Earth, and to atmospheric or orbital influences in the case of Jupiter. 



Circular-orbital velocity varies as g\ The relations of g to / M (1) and 

 of Earth's position to the unit of solar aggregation (2), lend importance to the 



approximate equality between log. (v^M.) = .709444 and log. rad. vec. 



{11 : e)^ .716237 (3.) 



Alexander showedg that Jupiter and Saturn are so related as to suggest 

 a possible early mutual participation in a common nucleal vis viva ; as if 

 they had been formed, by interior and exterior condensation, from the same 

 nebulous belt. I have shown J that the atmospheric radius varies as the 



^ power of the nucleal mdius. Therefore, if M* represents Jupiter's posi- 



♦"Fundaraental Propositions of Central Fore," (Tn/e. p. 291-310) VI, 



tib., V. 



tib., V— Vri, Illustrations. 



JSmlthsonlan Contrlb., 280, p. 38. 



I " Fundamental Propositions," X. 



