291 Prof. P. E. Chase on Momentum and Vis viva. 



There are doubtless many other results of early interorbital 

 action, especially in connexion with collisions in confocal 

 ellipses, ^Yhich would furnish interesting subjects of investi- 

 gation. For example, when the Jupiter belt was completely 

 severed {il sec. per.), and the Earth and Yenus belts were 

 beginning to form (sec. aph.), the elliptic orbital collisions 

 were near the limits of the Mars belt : — 



Ell. coll. i^ s. p. © s. a. 1-753 

 „ 11 s. p. 2 s. a. 1-337 



6 s. a. 1-736 

 S s. p. 1-311 



If we take the radius of nebular rupturing-fall for the sur- 

 face of Sun's homogeneous luminiferous atmosphere (2 x light- 

 modulus), and reduce it in the ratio of mean radially varying 



to uniform circular velocity ( — ) *? rupturing-nodes (^) and 



falls of condensation (1 -f- 11*656854) give the following 

 Table :— 









1st 

 c. fall 



2nd 

 c. fall. 



E. vec. 



3rd 

 c. fall. 



K. vec. 





11-6569) : 



=240-84 



20-67 



G s.a. 20-68 



1-77 



S s. a. 1-74 







120-42 



10-33 



h s. a. 10-34 



•89 



© . p. -93 



^M-f- 







60-21 



5-17 



n 5-20 



•44 



^ p. a. -48 



iM-f- 







30-lOt 



2-59 



Ast. 2-59 







iM^ 







15-05 



1-29 



6 s. p. 1-31 







rVM4- 







7-53 



•65 



$ s. p. 'Q7 







This seems to point, like the Neptune-Saturnian ellipse in 

 a previous comparison, and like the present comparatively 

 nebulous condition of Saturn itself, to Saturn as an important 

 centre of early ring-aggregation, as if our nebula were at first 

 a ring-vortex. The indication is confirmed by the similar 

 densities of Saturn and Neptune, the similar densities of 

 Uranus, Jupiter, and Sun, the fact that '^ these four planets 

 form a system by themselves which is practically independent 

 of the other planets of the system "J, and the present ap- 

 proximate accordance between the transit of light through the 

 Uranus-Telluric major axis and the time of planetary revolu- 

 tion at Sun's surface. 



The peculiar indication of the Uranus-Telluric belt, the cen- 

 tral position of Earth in the belt of greatest density, and the 



* If syuclironoiis imdalations are intercepted by an obstacle, so as to 

 produce accelerated motion towards a centre, tlie mean radius of variable 



motion is - of the radius of corresponding imiform motion, 

 t Y = 30-03. X Stockwell, ' Smiths. Oontr.' 232. xiii. 



