Chase*] 



432 



[Jan. 2, 



2// — 13,440,100 



2fip* = 1,222,948,248 \ (7.) 



V2pffl'-t-En*= 9-539 



The ratio of Uranus to Neptune appears to have been determined by the 

 incipient condensation of the system. For orbital velocity is proportioned 



lo j ' 1 ; therefore, for any constant initiatory velocity, like v , mass is 



V p / * 



proportioned to the radius of equal orbital velocity, or inversely to the 

 o 

 - power of the velocity of reciprocal orbital revolution, or to the cube 



o 



root of the distance from the Sun. Designating the locus of incipient con- 

 densation (Neptune's secular aphelion) hy p , we find 



Y 



to(p r )i 



!>-M l 



i (19.1834) r 



^ 7 (30.4696>* = /V 19385 " 



£5 = 22618. 



Newcomb's estimate of "-S. is 22600 ± 100. 



P-i 

 The inner retrogradely-rotating planet (Uranus) is connected with the 

 belt of directly-rotating planets by the two proportions : 



,"7 



!'■, : IH 



,"„ 

 22530 



th _ 



/'o 



' 1047.88 



20.044 X 1047. 



1 



9661 : 20.044 



= 22530 



.9661 



• ^o(o) '• Va 3 1 



lh : : ,'214.54 : ^1^019256 



.(10.) 



214.54 



\1. 019256 



X 22530 =326,900 



J 



In equation (9), /'a 2 . = Earth's mean perihelion ; p- lAl = mean aphel- 

 ion of Uranus. In equation (10), v = velocity of projection at the mean 

 perihelion centre of gravity of Sun and Jupiter (5.2028 X 214.54 x .956S4 

 -h 1047.88 = 1.019256); = Earth's mean orbital velocity. The influ- 

 ence of Jupiter's mean perihelion position will be further shown in the 

 following comparisons (13, 14). 



In the early ellipsoidal or truncately paraboloidal nucleus indicated by 

 Peirce's coinetary and meteoric researches, of which Uranus (19.1836) 



