Chase.J -^OO [Jan. 21, 



5. Photodt/namic Estimate of Earth's Mass. 



I have shown, in my discussion of "Earth's orbital eccentricity and its 

 correlations" (Note 3), that Sun's surface is the fulcrum of equilibrium 

 between the two principal masses of our S3'stem (Sun and Jupiter), at the 

 locus of rupturing projection, or the secular perihelion centre of gravity of 

 Sun and Jupiter. I also showed, in my first paper on photodynamics, that 

 the antagonistic mean leverage of Sun and Jupiter produces disturbances, 

 at the directrix-locus of the stellar solar paraboloids, which furnish a very 

 close approximation to the ratio between solar and terrestrial superficial 

 gravitating energy. The forces whicli have established these harmonies 

 must act under special conditions of equilibrium at the centre of condensa- 

 tion (Earth), and it seems probable that those conditions may be less sub- 

 ject to extraneous disturbance than either of the other adjustments which 

 I have investigated. 



In the photodynamic paraboloids, at any given instant, let a be the solar 

 locus of the directrix which is on the side of Sun's centre opposite to 

 Earth ; s^, the centre of nucleation, or Sun's centre, regarded as a primary 

 point of suspension for a linear pendulum ; s^, the centime of condensation, 

 or Earth's centre, the secondary point of suspension of the same pendulum; 

 £»o, the centre of a primitive nucleal radius and also the centre of linear 

 oscillation for S3 ; 0.^, the centre of linear oscillation for Sq and also the com- 

 mon locus for coordinate radii Tq and r.^ ; <?,, the centre of the linear pendu- 

 lum Sq S3 ; O2 the centre of s^ Oq and the centre of linear oscillation of o^ Sq ; 

 Tf) = Sq O3 ; ?'3 = S3 <?3 ; rriQ, m^, homogeneous masses varying as r^^, r,^ ; 03 is 

 the locus, in suspension from Sq, of opposite tendencies towards Sj and Sq. 

 Then r^ = 2r^ ; TOq ^= 8m.^ ; if we represent the superficial momentum of 

 any equatorial particle of m, by 1 X 1, the corresponding momentum for 

 wIq, witli reference to the same point of suspension (83) is 8 X B. If the 

 photodynamic momentum is converted into velocity of contiguous particles, 

 at O3, causing one of the particles to revolve about S3, and the other, by re- 

 action from Sq, about Sg, their respective velocities will be represented by 

 y/g-iTs and V 9oi'o> ^^ latter being (8x3 = 24) times the former. Now 



y'gr oc -*/ — while gr cc — oc {\/grY- Therefore g^ = 24*gr3. But g cc m, 



in mutual action and reaction, as in the case of Earth revolving and Sun ro- 

 tating under the photodynamic influence of gt = v', therefore Wg = 



(24* = 331776) m-^. Radius varying as ( — p. Sun's radius, Tq should 



then be (331776 h- .25527)^ = 109.07r3 ; and Sun's mean distance, />- = 

 214.5516 X 109.07 X 3962.8 = 92734000 miles. 



6. Photodynamic Limitation of Terrestrial Day. 



The number and variety of the foregoing harmonies led me to look for 

 some photodynamic influence on terrestrial rotation, or at the centre of 

 density, analogous to that which is indicated by the solar nucleal equation, 



