Gfaase.J 



426 



[Jan. 2, 



Substituting in (B), dividing and reducing: 



X 3.917.") = 



214.54* ..4309 6 



366.256 .0012383 

 108.155r 3 = p = 428,600 miles. 

 P 3 = 214.54" = 91,950,000 miles 

 Pa 



CiX 



v, = 



497.8" = 184,710 miles. 



.(4.) 



If we suppose Sun to contract till Laplace's limit would correspond with 

 Sun's present equatorial radius, the foregoing equations would all be Re- 

 ducible from the following : 



!>■?. 



4.90^ 



! 



.(5-) 



184,710 



1 dy 

 ; , o * .11624 dy 



fi = 828,860/*, j 



In these first approximations no allowance has been made for orbital ec- 

 centricities, or for disturbances by the principal planets. I am, therefore, 

 inclined to attach more importance to the following methods. 



The equivalence of luminous action and reaction, between the nucleal 

 centre ^i) and the principal centre of primitive condensation (c 3 ), is shown 

 by Earth's still retaining one-half of the original rupturing force. Accord- 

 ing to Stockwell, Earth's mean eccentricity is .0338676. If the rupturing 

 locus is represented by mean perihelion, since the superficial velocity of 

 rotation in a condensing nebula varies inversely as radius, the rupturing 

 1 



velocity was times the mean velocity. 



J .9661324 J 



The constant solar equa- 

 would be satisfied in .9661324 X £ yr., if we look 011I3- to 



tion g " h — « 

 2 " )• 



solar gravity at the corresponding nucleal surface, or in .9661324 yr., if we 



look to initial terrestrial gravity as one-half of corresponding solar gravity. 



v == .9661324 X 365.256 x 86400 x 



32.0874 



5280 



= 185,287 miles. 



p3 



497.83» — 92,242,000 miles. 



1 



J 



(6.) 



In equation (4), if Ave substitute Earth's mean solar day for the sidereal 

 day, we get : 



r = 



/ 366.256 X 

 •.256/ 



X 428,600 = 429,200 miles. 



■(7.) 



\365 



p 3 = 92,070,000 miles. ) 

 v — 184,970 miles. } 



By the well-known laws of elasticity, M, the solar modulus of light, or 

 the height of a homogeneous ;ethereal atmosphere, at Sun's surface, which 



