1881.] -^'l [Chase. 



10. Tlie PJwtodynamic Year. 



The constant action of the constant photic energy, at the centre of solar 

 and terrestrial action proportionate to mass, is equally divided between 



Earth and Sun, so that gj,,^ for Earth corresponds with w- for Sun, when 



so expanded that its rotation would be synchronous with the terrestrial 

 year. We therefore find for the velocity of light, if we allow for the 

 acceleration due to the photodynamic projection of Neptune (Note 6), 



gr X 1 yr. in sec. 32.088 X 31558150 



(Neptuue'sljrojection)^ = ¥280 >ri:oT45'^~ = ^^^^^'^ ™'^^^ P"' «^^- 

 Multiplying by 497.827, the time required for light to come from the Sun, 

 we get 92,767,260 miles for Earth's semi-axis major. 



11. Masses of Jupiter and Saturn. 



In consequence of the simplicity of Earth's relation to the centre of con- 

 densation, the a priori approximation to its mass is comparatively easy ; 

 but all the requirements of photodynamic vis viva must be satisfied in each 

 of the cosmical masses, as well as in every chemical atom and molecule. 

 Jupiter's synchronous radius, or the distance from Jupiter's centre 

 (.51231^3), at which a satellite would revolve in one of Jupiter's orbital 

 revolutions, is 1.0246 X the radius of confluent solar and terrestrial mass 

 action. The time of any circular orbital revolution is ( i;'32 = 5.6568) X the 

 time of fall to the centre of force. The accelerations of gravity varying as 

 the fourth power of orbital velocity, and acquired velocity varying as 

 gravitating time, the mass, which would satisfy conditions of simple equi- 

 librium between tendencies to condensation and to orbital motion, is 

 5.6568* — 32^ = 1024. Sun's mass : Jupiter's mass :: 1047.879 (= 1.0234 

 X 1024) : 1. This indicates a modification of the equilibrating mass, simi- 

 lar to the modification of the synchronous radius. The difierence between 

 1.0234 and 1.0246 is less than one eighth of one per cent., which is within 

 the limits of probable errors of observation. The rupturing photodynamic 

 ratio (f ; see Note 7), and the ratio of photodynamic projection (1.01455 ;* 

 see Note 10), have both been introduced, as factors of equilibrium, between 

 the centre of nebulosity (Jupiter) and the nebular centre of planetary in- 

 ertia (Saturn) ;t for (f X 1.01455)2 X 1047.879 = 3501.6 which is Bessel's 

 estimate of the quotient of Sun's mass by Saturn. This deduction of 

 Saturn's mass, therefore; indicates (Note 10) a velocity of light equivalent 



32.088 X 31558150 

 to 5380 X 1 01455^ ^^ 186336 miles, and gives, for Earth's semi-axis 



major, 92,758,000 miles. 



12. Photodynamic Centre of Planetary Inertia. 



Saturn's position, at the nebular or photodynamic centre of planetary 

 inertia, furnishes special and very interesting crucial illustrations of the 



* This value is about ^^5- of one per cent, greater than Stockwell's estimate of 

 that of Neptune (1.0145066). 

 t Proc. Am. Phil. See, xviii, 431. 



