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



Jupiter's rotating, relatively to its orbital, velocity has been 

 accelerated in the ratio of its mean rupturing- to Sun's aggre- 

 gating-radius. For \ogp { — n mean perihelion) = 3-029231 ; 

 log (2/> 2 -{-219*0894) = 4*018865 = log 10443*97; 4332*585 d. 

 -*-10443*97=9h. 57 m. 22 s. See (7), (35), (48). . (11) 



Saturn's rotating, relatively to Jupiter's orbital, velocity has 

 been accelerated in the ratio of Jupiter's nucleal rupturing- to 

 Sun's aggregating-radius. Forlog/>(= if. sec. per.) = 3'021137; 

 log (2 / o 2 ---219*0894) = 4*022677= log 10061*83; 4332-585 d. 

 -r 10061*83 = 10 h. 20 m. 3 s (12) 



Saturn's rotating, relatively to its orbital, velocity has been 

 accelerated in the ratio of Saturn's initial rupturing-radius to 

 Earth's radius of rupture. Forlogp( = ^ sec. aph.) = 3*346812; 

 log (2p 2 -"-200*307) = 4*391929 = log 24656-36; 10759-22 d. 

 -"-24656*36 = 10 h. 14 m. 4 s (13) 



The rotating velocity of Mars, relatively to its orbital velo- 

 city, has been accelerated nearly in the ratio of its nucleal 

 rupturing-radius to Earth's secular aphelion. For log p (= S 

 sec. per.) = 2-449775; log (2p 2 -*- 229-413) = 2-839962 = log 

 691-77; 686-98 d. -5-691-77 = 23 h. 49 m. 49 s. . . (14) 



The rotating velocity of Venus, relatively to its orbital ve- 

 locity, has been accelerated in the ratio of its mean rupturing- 

 radius to Earth's mean perihelion. For log p = 2*191493 ; 

 log(2/o 2 H- 207-583) = 2*366824 = log 232*715; 224*7 d. -t- 

 232*715 = 23 h. 13 m. 36 s (15) 



The rotating velocity of Mercury, relatively to its orbital 

 velocity, has been accelerated in the ratio of its initial rupturing- 

 radius to Sun's aggregating-radius. For log(/o= $ sec. aph.) 

 = 1*990608 ; log (2^^-219*0894) = 1*941619 = log 87*422 ; 

 87*97 d. -"-87*422 = 24 h. 9 m. 2 s (16) 



Jupiter's secular aphelion (5*5193) is a mean proportional 

 between Earth's mean distance and Neptune's secular aphelion 

 (30*4696). See (27) to (29) . (17) 



The secular perihelion of Uranus (17*688) is at the centre 

 of the supra-asteroidal belt. For Neptune's secular aphelion 

 (30*47) '+ Jupiter's secular perihelion (4*886) = 35*356 ; 

 35*356^2 = 17*678 (18) 



The secular perihelion of Uranus, or its locus of nebular 

 rupture, is also a mean proportional between Saturn's secular 

 aphelion (10*343) and Neptune's mean aphelion (30-336). (19) 



The centres of the outer and inner planetary belts are so 

 related that the mean distance of Uranus (19-184) and Earth's 

 rupturing-locus (sec. per. = "932) are at apsides of a major axis 



