1880; 



429 



[Chase. 



All the elements for the foregoing calculations can be measured with 

 much greater accuracy than the solar parallax, the position of the moon's 

 centre, cometary disturbance, or any other similar astronomical data. The 

 identification of luminous and electro-magnetic action, by Weber, Kohl- 

 rausch. Thomson, Maxwell, and Perry and Ayrton, together with Peirce's 

 investigations of the influence of repulsive force in the miniature world - 

 building of cometary nuclei,* lead me to hope that further research will 

 show what modifications are needed in order to secure exact astronomical 

 measurements, by means of the equal action and reaction of opposing 

 forces. 



III. Controlling Centres. 



The principal centre of gravity in the solar system (Jupiter-Sun), is at 



5.2028 X 214.54,% h- 1047.88 = 1.06522/V The ratio of synchronous lineal 



2 

 and circular orbits = —. The wave-velocity which counteracts Earth's 



3° 08 v 430S 15 



semi-diurnal variations of stress, is «, = — =■ 261.76 miles. 



li 5280 



Equating radial (numerator) and tangential (denominator) influences, we 



find: 



2 1.065,% 



~ x — — 



.a: 



1 



v -— 186,025 miles. 



f 3 = 92,606,000 miles. J 



At any given distance from cosmical centres the orbital influence is pro- 

 portioned to the mass. Hence the equation : 



1H 



— X 15- = 



v v.. 



mm ijT ^ m 



261.76 \ 5.2028 

 ! S = 311.56 X 1047.88 = 326,500 



(2.) 



A similar reciprocity, introducing some further interesting considerations, 

 may be found by looking to the centre of reciprocal nebular rupture, Nep- 

 tune's secular perihelion . Adopting Stockwell's value of Neptune's greatest 

 eccentricity (.0145066), and taking the mean between Stockwell's (30.03386) 

 and Newcomb's (30.05437) estimates of Neptune's mean radius-vector, 

 Neptune's secular perihelion (<") is at 3~/> 3 . Both the linear centre of 

 oscillation and the collisions of subsiding particles! tend to produce cosmi- 



*Trans. Amer. Acad., 1859. 

 \Ante, xvii, 100. 



