1877.] 101 [Chase. 
The following tables exhibit the modifying influences of other simple 
nodes : 
2 1.0158 @®_ 1.0000 io’ .7618 Pa .1744 
Q@ ~~ .6667 @ p .6722 2x2 .6772 2 p .6722 
$9  .4822 8 a .4768 + @ p .4661 % a 4768 
2% a .3178 Sp .2974 4@p.3lll- & p .2974 
In the inter-asteroidal belt and ellipse, bounded by § wand 8 p: 
Middle of belt, 1.0169 @ 1.0000 
Middle of ellipse, 7194 fc) 7233 
Jupiter is similarly situated in reference to the Neptune-Uranian, and 
the Uranus-Saturnian ellipses : 
Middle of Y a & a 4.8952 Middleof 8 bh 4.8224 Y p 4.8863 
“ Wynd 5.2078 “« 6 hb p 5.2246 Y% 5.2028 
“ Was 5.6480 “ 6@h 5.5701 Y a 5.5198 
Saturn is similarly situated in reference to the Neptune-Saturnian and 
Sun-Uranian ellipses : 
Mid.© 6 p_ 8.8440 h p 8.7345 
rere 9.5918 Mid. haWp 9.62% bh 9.5389 
“ © Sa 10.3396 ‘bh pW p10.4319 bh «10.3433 
There are, doubtless, many other results of early inter-orbital action, 
especially in connection with collisions in confocal ellipses, which would 
furnish interesting subjects of investigation. For example, when the 
Jupiter belt was completely severed (2/ s. p.), and the Earth and Venus 
belts were beginning to form (s. a.), the orbital collisions were near the 
limits of the Mars belt. 
Elliptic collision DS. p: @ s. a. 1.753 os. a: 1.736 
“ “ Ds. p: Orsuia. 1.337 O'S. p. 1.311 
If we take the radius of nebular rupturing fall for the surface of Sun’s 
homogeneous luminiferous atmosphere (2 x light-modulus), and reduce 
9 > # 
it in the ratio of mean radially-varying to uniform-circular velocity fe] : 
rupturing nodes (3) and falls of condensation (1 -- 11.656854) give the 
following table : 
ist Cond. Fall. 2d Cond. Fall. Rad. Vec. 
4M—7z 2807.4 240.84. 20.67 6 a 20.68 
Dinos fc l4030% 120.42 10.33 h a 10.84 
a PR Tao 60.21 Lay IY ¢ Ne 5.20 
aus ASE OE sta 180) 30.10 $500 WwW 30.03 
res i peli tay gas 15.05 1.29 oy) aleeal 
Fst te Be 7.58 65 Cran, VOT 
This seems to point, like the Neptune-Saturnian ellipse in a previous 
* If synchronous undulations are interrupted by an obstacle, so as to produce 
9 
accelerated motion towards a centre, the mean radius of variable motion is 
ae 
the radius of corresponding uniform motion, 
