

1881.] ^ ZId ■ [Chase. 



tions of orbital velocity, due to Sun's mass acting through Earth's secular 

 perihelion or projectile radius vector, which may be represented by 



\'— ", and to Earth's mass acting through a radius equal to Sun's semi- 

 ^p3 _ 



diameter, vphich may be represented by \'-^. Therefore we have the 



/mo ITO, mo /3rj6.2565\ 

 proportion -W— : -\/— :: 366.2565 : 9. Hence — = ( ^ ) 



Introducing Stockwell's ratio for Earth's projectile radius vector (.9322648) 



we nnd Cl = .9322648 X 214.5516 = 200.02, and - = 331252. 



To ™3 



14. CalUsto, Jupiter's Telluric Moon. 



The combined influence of harmonic photodynamic oscillations on the 

 three important centres, of nucleation (Sun), condensation (Earth), and 

 nebulosity (Jupiter), is further shown by the proportion : 



Jupiter's isochronous radius : Callisto's semi-axis major :: \|— -y' — :: 



366.2565 : 9. Searle* gives for the distance and period of Callisto, .012585^ 

 and 16.689 days. This would make Jupiter's isochronous radius .012585«3 



% 366.2577 

 X (4332.5848 -^ 16.689;** = g x Callisto's semi axis major = 



.51231^3. The value thus obtained for Earth's sidereal year differs from 

 the observed value by only 3 Jg^ of one per cent. Other harmonic influ- 

 ences, analogous to those which we have already considered, are traceable 



/2\* 

 m the following equations: 1. Igl x Jupiter's mean aphelion projection x 



Earth's day ^ Jupiter's modulus time, or lime of half rotation. This gives, 



^ T . , , ^, ».^ ^ 2 Jupiter's semi-axis maior 



for Jupiter's day, 9h. 53m. 26.5s. 2. tt X x^-ttt -■ ■ • — X time 



^ J' 3 Earth s semi-axis major '^ 



of revolution at Jupiter's surface = 9h. 54m. 11.6s. 3. 2* x 1.04316 x 



Jupiter's semi-diameter = 16.69056r = Callisto's semi-axis major. 4. 



33 X Earth's day — Callisto's orbital time (26.9984 dy). 5. Jupiter's 



modulus velocity h- Earth's ratio of aphelion projection (1.0677352) = 



271.23 miles. This gives 186830m. for the velocity of light, and 93010000m. 



for Earth's semi-axis major. 



15. Probable Values. 



I subjoin, for comparison, a few of the results of the foregoing methods 

 of questioning nature, under the simple guidance of the well-known law 

 that every action must have an equal and opposite reaction. The dates 

 refer to publication in the Proceedings of the American Philosophical 

 Society. 



Flame energy, Feb. 16, 1872, 92639500 



Basic lines, April 4, 1879, 9'1203CO0 



* Outlines of Astronomy, Sect. 795. 



