Prof. P. E. Chase on ^Ethereal Nodes. 205 



the nucleal radius. Therefore if M^ represents Jupiter's posi- 

 tion (3) at the extremity of a nucleal radius, the corresponding 



atmospheric radius =(-£/M)*=M*, of which the logarithm is 

 •945926. The logarithm of T? secular perihelion -"-© mean 



radius vector is -941236 (4) 



The secular perihelion of Venus is near the sethereal nucleal 



limit (1), (4). Log( vM)^ = 2-12b332 ; log $ secular peri- 

 helion = 2-159680; 2-159680 - 2-128332 = -031348 = 

 log 1-0748 ; ? secular aphelion -f- mean radius vector = 

 1-0763 (5) 



These approximations point to sethereal influences on the 

 principal planets, both in the supra- and in the infra-asteroidal 

 belt, and to early special nucleal condensation in the inner belt. 

 The latter indication is strengthened by the greater density of 

 the interior planets, by the many harmonic relations which are 

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

 position near the centre of the infra-asteroidal belt. Mer- 

 cury's secular perihelion (-29743) + Mars secular aphelion 

 (1-73633; = 2-03376; 2-03376---2 = 1*01688; Earth's' present 

 aphelion =1*01678 (6) 



The nucleo-atmospheric relations of Earth and Jupiter (3) 

 are further shown by the fact that a nucleal expansion of Sun 

 to Earth's secular perihelion would involve an atmospheric 

 expansion to (200*3073 = )H72 solar radii. Jupiter's mean 

 aphelion = 1166*61 solar radii (7) 



The present light-modulus (log M-f- Or = 5*675554) : Earth's 

 accelerative radius (log 2p 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 represents 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 aether eal nucleus (1), 

 /Ox/2 = radius of dissociating velocity, and 2p 2 = radius of 

 rupturing vis viva ; logp( = © secular perihelion) = 2*301695, 

 log (2p 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 if. secular aphelion 

 (-741881)- log ©secular perihelion (1-969540) = log 2'433 2 . 

 24 h. -r-2*433 = 9 h. 51 m. 49 s (10) 



