346 



DE. W. M. HICKS: A CRITICAL STUDY OF SPECTRAL SERIES. 



KrS. 



The first three S, lines give for the formula 



n = 51651 '29-N/{m + '093630- '014156/m} 2 . 



The calculated wave-numbers for m = 4...7 are in order 45095'25, 47419'39, 

 48695'38, 49470'47. The first gives O-C, d\ = 12 ; the others are outside the 

 observed region but are reached by sounding and give O C values of '08, '12, '22, 

 the errors including those of the sounders. 



Quantities relating to the separation 309 will be denoted by dashed letters. With 

 the limit 51651'29 + and separations 786'45 + c^, 309 p 20 + di/ 3 , 34116 + di> a , || the 

 values of A 15 A 2 are found to be 



A! = 10969- '316^+1379^ = 44 (249 '30 + '3 14 d^- 

 A' 2 = 4244- 121+ 13'67d/ 2 = 17 (249 P 63 + '80 di/ 2 -' 

 A 3 = 4680-121^+13-65^ = 18| (249'64 + 73 d*,- 



The value of the oun is thus given by <S = 249'30 + p 314dv 2 , 249'63 + '8 d'v a , with 

 the uncertainty usually found from triplet separations [see III., p. 332]. From the 

 limit = p(l) and A! the values of the a, b, c, d, e links are at once found. The 

 result for e = p,(l)(-2A 1 )-p,(l) (2A 2 ) is 3183'35. Since S, (l) = p(l)-a(l), 



* ? S 2 (3) ( - 9S), see displaced sets below. 



t Is F 8 (2), see p. 376. 



t In region at very end of BALY'S list ; 41341 is his last. 



(6)2291-26..w. 



|| Obtained as least square value from m = 1, 2, 3, supposing X equally probable. 



