1882.] — ^-^ [Chase. 



Avhicli is due to Siui's attraction ; % corresponding magnetic component 

 of circular orbital velocity which Earth would communicate to an ^ethereal 

 particle ; d„, specific heat of water ; 6^, specific heat of typical gas ; d^, 

 density of Sun ; d^, density of Earth ; 8o- mean density of aether in Earth's 

 orbit under influence of Sun's attraction ; ^^3, density of Earth's atmos- 

 phere at mean locus of magnetization. Then 



■y., : i\ : : 0^ : 0^ (1) 



d., : d„ : : 4 : ,]„ • (2) 



The given values are, «„ = 18.476 m. ; ^3 = .23773 6*0 ; d^ = .25491 d^. 

 The required values are %, d-^ and 8^. From (1) we find 

 «3 = .23773 X 18.476 = 4.3924m. 

 At Earth's equatorial surface, V gr = 4.9073 = 1.1172 v.^ ; the magnetic 

 component of this velocity in Earth's orbital plane is -y^^ = cos. 23^28' 

 X 4.9073 = 4.501 = 1.0248 u, ; the mean locus of magnetization is there- 

 fore, 1.0248^ X 20,923,654 ft. from Earth's centre = .05028 x 20,923,654 

 =r 1,051,985 ft. from Earth's surface. According to Babinet's formula 

 {Smiths' n Tables, D, p. 68) the normal density of the air diminishes ^ at 

 the altitude 



Z= 52494 ft. X ?n^^^ = 17498 ft. -^ 1,051,985 -- 60.12 

 30 -j- lo 



The atmospheric density at the locus of magnetization is, therefore d. = 

 1 -- 2«»-i''r=l --1,252,920,900,000,000,000; the ethereal density, ,)„ = 

 (J3 X .25491 =r 1 -- 4,915,148,000,000,000,000. The density of hydrogen 

 is .0692, or, according to this estimate, 340,128,200,000,000,000 (J„. This is 

 2.07 per cent, greater than the estimate which was based on the ratio of 

 projectile gaseous energy to aethereal energy (Note 35). The significance 

 of proportion (1) is increased by the cosmical relations of Joule's equiva- 

 lent (Proc. A. P. S., xix, 20). The agreement would be exact if we take 

 p., = 92,809,500 miles. 



237. " Subsidence " Estimate of ^Ethereal Density. 



Subsidence towards the three chief centres of nebulosity, (Jupiter), 

 condensation, (Earth), and nucleation, (Sun), should be influenced by 

 {lethereal harmonies. If we take the estimate of Sun's mass which satisfies 

 the requirements of subsidence and oscillation (331776 ; Notes 5, 23, 91) 

 and the British Nautical Almanac value for Earth's distance, measured in 

 Sun's semi- diameters (214.45), p-^ = 92,785,700 miles ; the mean projectile 

 locus of the chief centre of gravity in the system (c. g. Sun and Jupiter 

 at mean perihelion) = 1.018 r„ = r^ ; L„ (solar modulus of light ; Note 

 75) = 474657 ?'„ = 465896 r^; the mean locus of magnetization, l^ = 7-^, x 

 ^3 -i- L„ = 199.1555 miles = 1,051,541 ft. = 60.09498 X 17498. This gives, 

 for the ratio of hydrogen density ((j\) to oethereal density, 



