Chase.] OUO [Nov. 4, 



paratively unimportant nuclei, two principal and controlling nuclei of 

 nearly equal density, viz. : Sun, at the principal centre of nucleation, and 

 Jupiter at the mean nebular centre between Uranus at apojove, and Nep- 

 tune at perijove. 



The actions and reactions between these controlling nuclei have produced 

 an intermediate maximum condensation in the belt of dense planets, with 

 a principal mass. Earth, near the centre of the belt. The solar radiations 

 are propagated with the velocity of light, v^ If we designate Earth's mass 

 by m^, the actions and reactions of photodynamic ms viva at the centre of 

 density, m.^ v^, produce gravitating tendencies towards the linear centre of 

 gravity (^), the centre of linear oscillation (|), and the centre of conical 

 oscillation (I), ^which vary as the fourth power* of the tendencies to or- 

 bital velocity. These tendencies are all satisfied by a reacting mass, m^ = 

 (j X I X 4)* ^"-o = 3 stVtb' of Sun's mass. The photodynamic character 

 of the oscillatory vis viva at the centre of condensation is shown by the fol- 

 lowing proportions : 



In these proportions m„ is taken as the unit of mass ; Jupiter's mass, m-^ = 

 T047H7? ' ^« = orbital velocity at centre of condensation ; -»„ is a mean pro- 

 portional between v^ and v^ ; j)„ = ratio of mean photodynamic projection 

 of Sun's centre from the centre of gravity of Sun and Jupiter, Sun's semi- 

 diameter being the unit ; p^ — mean photodjaiamic projection of the 

 centre of condensation from Earth's semi-axis major as a unit; these pro- 

 jections, like the gravitating tendencies, vary as the fourth power of orbital 

 velocity. 



If we take t^ = 497.837 seconds, and g = 33.088 feet, the above propor- 

 tions give 



*g'cc -^ ; V = t/ ffr cc -v/-^; .•. g ccvi. 



t Stockwell's estimate (Smithsonian Contrib., 232, p. 38), is -.gs-^TY^s = 1.06167 r^. 



