Chase.] ^*0 [Jan. 19, 



in the uniform velocities of important cosmical centres. One of these 

 evidences is found in the proportion, 



In this proportion, t^, is the orbital time at the chief centre of condensa- 

 tion (Earth); to, the orbital time at the centre of primitive nebulosity (Ju- 

 piter) ; T^ the time in which a photodynamic wave would traverse the 

 secular eccentricity at the primitive centre of planetary inertia (Saturn); 

 2\ the time in which the wave would traverse Saturn's semi-axis major. 

 The accordance is shown by substituting the values, which give the 

 proportion, 



365.2564 : 4332.5848 : : .08431 : 1 



Stockwell's estimate of Saturn's secular excentricity is .08433. T^ and Ta 

 also represent the comparative living forces which would project a planet, 

 against uniform resistance, through the distances traversed by the respec- 

 tive photodynamic waves. 



311. Harmonies of Terrestrial Acceleration. 



The cyclic oscillations at the chief centres of condensation and nebylosity 

 would tend to produce corresponding accelerations through the action of 

 central forces. An important harmony, which introduces the tis viva of 

 acceleration, is shown in the proportion, 



«'. : «^^ : : ^a da + ^p) ■ t^- 

 In this proportion, a^ is the rotary acceleration which Earth has under- 

 gone according to the nebular hypothesis; a^, the acceleration according 

 to Herschel's theory of "subsidence; " t^ and to have the same values as 



in the foregoing note. The value of a^ is f 366.2564 -h 2,t J- V* = 338.22; 



^ ::= 86164 1 sec -^ '>--/!! = 16.983. Substituting these values we get 



^ V<7 



338.322 . 16.9832 : : 396.62 : 1 

 396.63 : 366.2564 : : 1.0829 : 1 

 ta + ffi -ts-- ■■ 1.0843 : 1 

 This harmony furnishes additional grounds for rejecting Delaunay's 

 hypothesis of terrestrial retardation by tidal friction, 



313. Earth's Accelerated Rotation. 



I have already referred to the inconsistency of Delaunay's views with 

 the nebular hypothesis. According to the form of that hypothesis which 

 was taught by Laplace, at the time of nebular rupture the day and year 

 should have been sychronous. In order to establish such sychronism at 

 the present time, Earth's radius would need to be expanded (/ 366. 2565 

 = 19.138) times, and Laplace's terrestrial limit would be 



(l year -f- 3;:-^,'^ V;-, or 338. 21S;-. 



