1881.1 4b J [Chase. 



X the fourth, -^ being the ratio of circular-orbital velocity to mean veloc- 

 ity of synchronous radial oscillation. 



86. Prime Centres of Energy. 



In considering the photodynamic reactions of Sun against the sethereal 

 oscillations, reference has been had to Sun's centre of gravity, C^. In my 

 first paper* on the influence of cyclical oscillation, I anticipated the possi- 

 bility of measuring fluctuations which are produced hj the Central Sun. 

 The first step in that direction was the discovery of the stellar-solar para- 

 boloid, by means of the rupturing tendencies Avhich would result from 

 Herschel's theory of " subsidence, " in a nebulous elastic medium. The 

 next step was the investigation of the relations of the solar centre of grav- 

 ity to the universal centre of gravity, C„, which are involved in the cyclical 

 equilibrium of gethereal and gravitating energies. It is perhaps possible 

 for mathematical analysis to find some approximation to the mass and dis- 

 tance of the controlling centre of the immediate stellar group to which we 

 belong, from known data. In seeking such approximation, regard should 

 evidently be paid to the motions of the centre of gravity of the solar sys- 

 tem, C^. The next centre in point of importance is, perhaps, the centre 

 of condensation in the solar system, C3. 



87. Projection of Centres of Niicleation, Nehulosity and Condensation. 



It may be assumed that the mean centre of gravity of our system, Ca, is 



the same as the mean centre of gravity of its two chief masses. Sun and 



Jupiter. Jupiter's semi-axis major, p^, is equivalent to 5.202796^3. Sun's 



mass, m^, is 1047.879 times Jupiter's mass, m^. Sun's semi-axis major, pa, 



. . . ^ . 5.202796,0, 



or mean projection from Ca, is therefore r^TKTf~6^, or .0049603^3. 



Stockwell's estimatef of the secular maximum eccentricity of Jupiter is 

 .060874, which represents a rupturing projection, for Co, of ^ o rns^ 



= 1.0648r„. The equation, .0049603^3 =. 1.0648ro, gives p^ = 214.667r„ ; 

 n = 214.667. This is about Jg of one per cent, greater than the estimate 

 of the British Nautical Almanac, and about ^-^ of one per cent, less than 

 that of the American Nautical Almanac. 



88. Orbital and Nascent Energies at tJie Centre of Condensation. 



The evidences of photodynamic projection, which were presented in 

 Note 80, together with other evidences of the importance of Earth's mass 

 and semi-diameter, as secondary thermal and electric units, enable us to 

 connect orbital velocity, Va, with nascent or dissociative velocity, v^, at the 

 centre of condensation. Earth. For, since distance or vis vita of projec- 



* Proc. Am. Phil. Soc. ix, 288. 



t Smithsonian Contributions, 232, p. 38. 



