318 On the Equilibrating Forces of the Solar' System. 



In the eighth and eleventh accordances, Earth's mean radius 

 vector being 214'86 solar radii, 5*2028 x 214'86 = 1117'87 ; 

 and the geometrical-mean radius vector 



($x?x|xjxvx hx.a xlf )i=696'54. 



The tenth accordance is found by first taking the mean of 

 the rotation-radii of Saturn and Uranus 



20-7258 + 35-0062 



- 27-8G6 



> 



and regarding it as a node of reference for the rotation-radii 

 of Saturn and Neptune 



(27-866-20-7258=7-1402 ; 49-0168-27-866=21-1508). 



The relationships of position seem to be primarily dependent 

 upon the properties of elastic media. In such media, as the 

 distances from a centre of force increase in arithmetical pro- 

 gression, the densities decrease, in geometrical progression if 

 the central force is constant, in harmonic progression if the 

 central force varies inversely as the square of the distance. In 

 the earliest stages of nucleal aggregation, when particles are 

 subjected to nearly equal impulses from every direction, but 

 with a slight preponderance towards special nucleal centres, 

 the variations from constancy of force may be so slight as to 

 introduce a geometrical progression ; and if those tendencies 

 occur when the contest between the aggregating and dissocia- 

 ting forces is the strongest, the ratio of such progression should 

 be 1 : 7T. If we compare the vector radii of the aphelion pla- 

 nets in each of the aphelion or supraasteroidal two-planet belts, 

 with the vector radii of the perihelion planets in each of the 

 perihelion or infraasteroidal belts, we find the following coin- 

 cidences — Saturn, with its nebulous ring and its position of 

 mean planetary inertia, being the starting-point for the 7r-geo- 

 metrical series as well as for the correlative determinations of 

 planetary mass. The tabular unit is Sun's radius. 





A. 





B. 



(A-BHB. 



TzXtt 1 



643875 



"HT" mean 



645306 



-0022 



hX7T° 



2049-51 



h » 



2049-51 





h Xtt- 1 



652-38 



■K H 



652-38 





hXTT- 2 



207-66 



© perihelion 



207-58 



+•0004 



h Xtt- 3 



66-10 



5 



68-48 



-0361 



exTr- 1 



68-39 



5 



68-48 



-•0013 



These several accordances of mass and position are brought 

 into simple correlation with my planetary pendulums * by the 

 nucleal action of the velocity of light, at the geometrical-mean 

 * Phil. Mag. [IV.] vol. 1. p. 250. 



