Chase. 



612 



[Nov. 4, 





04 

 04 

 44 

 34 

 13 

 15 

 11 

 48 

 04 

 38 

 04 

 09 

 00 



Harmon re. Observed. Error. 



A ^760.38 . A 760.40 —.02 



a 718.51 a 718.47 +.04 



^ 686.67 B 686.71 



656.25 C 656.21 



589. 9\> Di 589.51 



588.57 D., 588.91 



536.74 E 526.87 



518.16 . bi 518.31 



517.33 b., 517.23 



516.31 b4 516.69 



486.11 F 486.07 



431.11 G 430.73 



410.16 h 410.13 



396.73 Hi 396.81 



393.80 H., 393.30 



In the harmonic column, (S^ = ^^ ^^^ ; ft^, e and ^i, are obtained by mul- 

 tiplying ;^2 by f J, II and ?,, respectively ; f = | «, and /Sj = f C ; ^ = f r 

 and w = If yj ; 8.^ = ^ 13. All the differences between the harmonic and the 

 observed values are unquestionably within the limits of probable errors 

 of observation, as indicated by the different relative estimates of lines in 

 metallic spectra by different observers. 



The influence of relative vis viva between the chief centres of density 

 and of nucleation, Earth and Sun, is shown both by the spectrum and by 

 the mean rupturing loci of the principal planetary masses, Jupiter and 

 Saturn. Such influence is a necessary consequence of the equality of ac- 

 tion and reaction in the interchanges of ajthereal, molecular and cosmical 

 vis viva. The sum, or the mean of all the gravitating accelerations upon 

 i the sethereal particles in a radius vector by each of two mutually attracting 

 , bodies, is proportioned to their respective masses, g cc m. The resulting 

 mean vis viva of subsidence, mg'', is proportioned to the cubes of the masses. 

 Nascent vis viva is t:'^ X orbital vis vioa, or 77^ x representative orbital pro- 

 jection against uniform ajthereal resistance, or 3 ;r X the corresponding 

 nascent projection. If we take the theoretical oscillatory ratio between 

 the masses at the chief centres of density and nucleation, m^ = 331776 m-^; 

 = 93785700 miles = 149330000000 metres. Hence the proportions : 

 149320000000 : 331776^ : : ^^ : .00000000041432 

 149320000000 : 331776^ : : 2 r : .00000000065073 

 Both of these values represent spectral wave-lengths, one being about 

 one per cent, greater than h, the other about f of one per cent less than C. 



The ratio between the values, ^, is to the ratio of C to h, f, as Sun's semi- 

 diameter, 1, is to the mean rupturing radius-vector of the centre of gravity 

 of Sun and Jupiter, 1.01859. The projectile ratioof 414.32 fromh, .01014, 

 is to the projectile raiio of C from 650.73, .00848, as Jupiter's mean projec- 

 tion from Sun, 5.303, is to Saturn's mean projection from Jupiter, 4.336, 

 within h of one cent. 



p3 



