1877.] 497 [Chase. 



tion(8) at the extremity of a nucleal radius, the corresponding atraosplieric 



radius = (^ m)' — ^ , of which the logarithm is .945926. The log. of 



J^ secular perihelion -r- mean radius vector is .941236 (4.) 



The secular perihelion of Venus is near the sethereal nucleal limit (1, 4). 



3 



Log. (v/m/ = 2 128332, log. $ sec. perihelion being 2.159680. 2.159680 

 — 2.128332 = .031348 = log. 1.07483. $ secular aphelion -- mean r. vec. 

 = 1.07633 (5.) 



These approximations point to aethereal influences on the principal planets, 

 both in the supra- and in the infra-asteroidal belts, and to early special nu- 

 cleal condensation in the inner belt. The latter indication is strengthened 

 by the greater density of the interior planets, by the many harmonic rela- 

 tions which are based on Earth's distance as a primitive unit, and by Earth's 

 position near the centre of the infra-asteroidal belt. Mercury's secular 

 perihelion (.29743) + Mars's secular aphelion (1.73333) = 2.03376 ; 2.03376 



H- 2 = 1.01688. Earth's present aphelion = 1.01678 6. ) 



The nucleal -atmospheric relations of Earth and Jupiter (3) are further 

 shown by the fact that a nucleal expansion of Sun to Earth's secular peri- 

 helion (200.307 solar radii) would involve an atmospheric expansion to 



(200.307*^ = 1172). Jupiter's mean aphelion = 1166.61 solar radii. ...(7.) 



The present Light-Modulus (log. M -r- 0r = 5.675554) : Earth's acceler- 



ative radius (log. 2 ^/ ^ 4.965340) : : Jupiter's secular aphelion (log. =: 



.741881) : Earth's secular aphelion (log. =.028463) (8.) 



Earth's rotating, relatively to its orbital velocity, has been accelerated 

 366.256 times, since its theoretical nebular rupture. This represen's the 

 ratio of Earth's nucleal-rupturing to Sun's aggregating radius (2). For if 

 we let p = superficial radius and velocity of perfect fluidity in the sethereal 

 nucleus (1), ^ i/2 = radius of dissociating velocity, and 2 j,''' = radius of 

 rupturing vis viva. Log. (^ =r secular perihelion) = 2.301695. Log. 

 (2^;^ ^ 219.0894) = 2.563791 =: log. 366.253 (9. ) 



The increased acceleration of Jupiter's angular velocity, relatively to its 

 nucleal companion Earth, is such as would be due to the difference of orbital 

 velocities at the outer and inner edges of the Jovi-Telluric belt. Log. 1/ 

 secular aphelion (.741881) — log. ® sec. perihelion (T .969540) = log. 

 3.433^. 24 hours -=- 2.433== 9 h. 51 m. 49 s (10.) 



Jupiter's rotating, relatively to its orbital velocity, has been accelerated in 

 the ratio of its mean rupturing radius to Sun's aggregating radius. For log. 

 (p= IJ. mean perihelion) = 3.029231 ; log. (2^^^ -^ 219.0894) = 4.018865 

 = log. 10443.97 ; 4332.585 dy. -- 10443.97 = 9 h. 57 m. 22 s. See (7) 35) 

 (48) (11.) 



Saturn's rotating, relatively to Jupiter's orbital velocity, has been acceler- 

 ated in the ratio of Jupiter's nucleal rupturing to Sun's aggregating radius. 

 For log. I — % sec. per.) = 3.021137 ; log. (2/,^ -^ 219.0894) = 4.0226,77 



=:log. 10^61.83; 4332.585 dy. -h 10061.83:= 10 h. 20 m. 3 s (12.) 



Saturn's rotating, relatively to its orbital velocity, has been accelerated 



