CATALOGUK OF POLAK STARS. 



259 



+ 0.00000116163 



A"™ 



sum 

 log sum 

 log 16' 



loff 



+ 0.00000127989 



+ 0.00000127989 

 4.10718 



8.42884 



log U^ 

 frxi 



5.67834 



df^ 

 log 39916800 7.60116 



8.07718 



S. 



+ 0.000000000000000000000119 



The values of U^, CT"", . . . U'^'^, given on the following pages, were obtained 

 from the differential coefficients derived from equations (50), employing the data 

 given on pp. 249-256. 



In the values marked by an asterisk the differential coefficients were computed 

 as follows : — 



da 

 dt 



d^a 

 dt^ 



d^a 

 df 



d*a 

 dt* 



; Bes-sel's FormuljB. 



; Menten. 



; Mean of Bessel and Hill. 



; Bessel. 



