1S76.] "^« fChase. 



aggregation, solar rotation, and planetary.revolution, is the velocity of light * 

 For, Sun's distance from Earth being 214.86 solar radii, the velocity of 



light = t L^l = .4316/' per second. Equating this value with a - \'7v 



497.825 _ _ 



and substituting the value of ^Z f^, = y'^ = 2 tt r X 214.86 -~ 



(365.2564 X 86400) = .000627049;- per second, we find n = 219.0894, and 



v.^ =■ _Zr = .0000028622?' per second. On comparing this result with 



n 

 the estimates from observation of Sun-spots, we find it is about f of one 

 per cent, greater than Schwabe's estimate (.0000028511), while it is about 

 ^ of one per cent, less than the average of Sporer's greatest (.0000029533, 

 In lat. 1° 45') and least estimates (.0000027863, in lat. 24° 38'). All o her 

 estimates are embraced within Sporer's limits, and most of them agree 

 very nearly with Schwabe's. Such closeness of exemplification in gravitat- 

 ing action, may well encourage a search for others in chemical association 

 and dissociation. 



Inasmuch as Prop. VII is a corollary of Prop. VI, it may be pracically 

 illustrated by the same examples. It has, however, an additional interest, 

 by showing that the radial impulses continue their efficiency, wi hin the 

 rotating mass, until they are able to proceed, without interruption, in the 

 same direction in which they entered the system. It also lends confirma- 

 tion to the above values of n and v.,. 



Prop. VIII accounts for the coefficients of planetary distances, in the 

 abscissas of my Stellar-solar parabolaf of which I offer a new form in my 

 remarks on Prop. X. 



The various planetary harmonies which have been pointed out by Tilius, 

 Bode, Alexander, Peirce, Kirkwood, and myself, furnish abundant a pos- 

 teriori corroboration of Prop. IX. 



Obermayer's Law (Trans. Vienna Acad.; quoted in Nature, June 1, 

 1876, p. 119), that the friction-coefficient of permanent gases varies as the 

 I power of the coercible gases and as the absolute temperature, seems to 

 fall under Prop. X, as a particular case of the nucleal and dissociating in- 

 fluences of central force. The planets furnish various other cases, under 

 the same proposition, illustrating Peirce's views as to the constancy of the 

 quantity of motion, or vis viva, in a system, Oliver's aesthetic theorem, 

 my planetary pendulums,:]: and nearly all of the postulates. 



The time of terrestrial rotation being 86400 seconds, and the time of free 



revolution at the equator (2 - r -^ ^~gr) ^^^^ seconds, the vis viva of 



r86400^ 2 . . , 



revolution is i ~^^^ = 289.68 times the v. v- of rotation at the same 



point. If this is the v. v. at the limit between complete aggregation and 

 incipient dissociation, the v. v. at the limit between complete dissociation and 

 incipient aggregation (VI, VII,) is t:^ times as great. Therefore, if Earth's 



* lb. xi, 10.3, and subsequent papers. 



tlb.,xii,523. 



JProe. Soc. Phil. Amor., xiv, 612, 622, sq. 



