Chase.] "t)^ [April 15, 



together with the Moon's position relative to the centre of density, make 

 it probable that its distance from the Earth, as well as its mass, may furnish 

 important harmonic indications. We find, accordingly, the following 

 close approximations : 



Sun's distance : ^Moon's distance : : Jupiter's mean locus of subsidence 

 (mean aphelion) : Sun's radius of condensation : : Xeptune's mean rup- 

 turing vis vica : Earth's nebular vis viva. This triple proportionality is 

 satisfied by the following values : 



92,996,000 : 238,847 :: 1168.07 : 3 :: (19.78)2 : 1 



This would give 215.22 for the quotient of Earth's semi-axis major by 

 Sun's semi-diameter, which is probably about ^ of one per cent, too large. 

 These slight differences in the approximations to the value of n may be due 

 to solar atmospheric, photospheric and chromospheric modifications. 



The approximation of Moon's semi-axis major, measured in units of 

 Earth's semi-diameter (60.28) to the continued product 8 X 4 X 5, is also 

 noteworthy. 



28. T7ie Moons of Mars. 



The linear-pendulum ratio, 8, which was introduced twice in the fore- 

 going note, appears in a vast number of satellite, planetary, stellar and 

 molecular harmonies. The following table, with its influence upon the 

 moons of Mars, is a very striking instance : 



3" = 1 



3^ — 80 = 2 



32 — 3^ — 3° = 



33_32_3i_30 . — 14 



8* — 33 — 32 — 31 — 3« = 41 



The above numbers are harmonic divisors, in the Mavortian system, of a 

 primitive nebular radius which represents proportionate action between 

 the centre of photodynamic planetary inertia (Saturn) and the locus of in- 

 ternal rupture in the dense belt (Yenus's mean perihelion). For we have 

 Saturn, mean rad. vec. : Venus, mean per. : : 9.539 : .698 : : 13.67 : 1 

 If we take 13. 67 semi-diameters of Mars as the nebular radius, J the radius 

 would be the locus of primitive rupturing subsidence, a locus which accords 

 very closely with the semi-axis major of Deimus, the outer satellite. This 

 and other accordances are shown in the following table : 



The importance of the ratio of harmonic undulation, which has been 

 thus introduced at the outer limit of the dense belt, has a deeper meaning, 

 when we remember that Venus and Earth are the only two planets whose 



