Chase.J 1^0 [April 21, 



in a spherical mass, of the same force as determined Uranus in a circular 

 disc. The mass-denominators are, 



25. These masses, with Hansen and Olufsen's mass for Mars, and Encke's 

 for Mercury, give the following ratios for the extra and intra asteroidal 

 groups : — 



1.3974 1.3989 1.9795 1.9581 



Here is a further approximation, in the inner system, to the square of the 

 outer ratio, accompanied by suggestive indications of the influence of the 



ratio between aggregating and dissociating velocities (l : y'2 ), and of the 

 ratio between the oscillatory and kinetic radii (1.4232 : 2 : : 1 ; 1.405). The 

 outer is about 220 X the inner, or nearly as Earth's radius-vector is to 

 Sun's radius. 



26. To the primitive influences others were subsequently added, depend- 

 ing upon mutual actions and reactions, some of which have already been 

 pointed out, and others are obscurely intimated hy harmonics which can 

 hardly be regarded as accidental. To this latter class the following may 

 be added: — 



a. Jupiter's mass is to Neptune's mass, as tt x Neptune's radius vector 

 is to Jupiter's radius vector; Neptune's mass is to Earth's mass, as ~ X 

 Jupiter's radius vector is to Earth's radius vector. 



ft. The mass of the intraasteroidal planets : Sun's mass : : square of 

 Jupiter's secular aphelion : square of light-modulus. 



c. The limit of possible solar atmoa]ihere : 6- X Sun's radius : : Earth's 

 polar: Earth's equatorial diameter. (0 := 2 x 3 = product of number of 

 gravity nodal divisions by number of oscillatory nodal divisions in a linear 

 pendulum; Cfr. Jupiter's mass = 6 ~ x Neptune's mass). 



27. Struvc estimated Sun's proper motion at 1.623 x Earth's radius vector 

 per annum, which is .258 times Earth's orbital motion, the motions being, 

 therefore, in the ratio of their densities. 



28. If we add the orbital motions of Earth and Jupiter, to Sun's proper 



