30 



Trof. P. E. Chase 



on our 



Perihelion. 



Mean. 



Aphelion. 



Approximate 

 ratio. 



© If. 10019 

 „ h -5360 

 „ 6 -1681 

 „ M> -3228 



1-0668 

 •5883 

 1824 

 •3276 



11318 

 •6347 

 1966 

 •3323 



1 



~5 



These values likewise exhibit a close approximation to the 

 perihelion ratio J, between the comparison planets of each 

 pair, together with indications of nebular rupture between 

 Saturn and Uranus, and of increasing condensation towards 

 Neptune and Jupiter. The perihelion-ratio of Neptune : 

 Jupiter =1 : 3*1 ; that of Uranus : Saturn = 1 : 3*2, or 

 nearly that of a nodal division to the entire length of a linear 

 pendulum. The reversal in the direction of condensation, 

 between the central and the exterior belt, may perhaps explain 

 the retrograde satellite-motions of Uranus and Neptune. 



4. If we compare the perihelion and aphelion centres of 

 gravity of companion planets, we find that *6347 is near the 

 centre of spherical gyration ( v'4 x 1*0019 = *6336) of 1*0019, 

 and that *1681 is near the centre of nebular rupture* (*1661) 

 of -3323. 



5. The time of revolution varying as r^, while the time of 

 rotation with the velocity due to interior vis viva varies as Hr, 

 the limiting radius of synchronous rotation and revolution, for 

 any given expanding or contracting nucleus, is a mean pro- 

 portional between the limiting radii of interior and exterior 

 nucleal rupture. I have shown that the gravitating impulses 

 are 4565 x 10" per second, corresponding in frequency 

 with the red rays of light; and the modulus of light is 

 / 365-256x86400 V ,.. T „ , , 

 W >/2U*6x497« = 473755 solarradl1 ' If moduli* 

 were taken as the primitive radius of resisting inertia (*•?), 

 Neptune's position would accord with the corresponding 

 nucleal radius (r= 6077*2 solar radii), and Mercury's with the 

 radius of internal rupture (^ = 77*96 solar radii). Saturn's 

 place being fixed, as we have seen, by the centre of nucleal 

 planetary inertia, its mean aphelion radius appears to have in- 

 fluenced Neptune's position, while Earth's secular aphelion 

 exerted a like influence on Mercury's position ; for 1*04835 



x 6077*2 = 6371, Neptune's secular perihelion being 6359'5, 

 a difference of less than } of one per cent. ; 1*06774 x 77*96 

 = 83*24, Mercury's mean distance being 83*17, a difference 

 of about ^ of one per cent. 



* Velocity at \ r— V 2 gr. 



