PHOTOGRAPHIC RESEARCHES NEAR THE POLE OF THE HEAVENS 



73 



A solution of these equations, giving half weight to the right ascens- 

 ions, produced the following results: 













Image. 



[ &yi X. 



A nV- 



* n A'. 



A n tt>. 



1 



— 1?08 



-f-0?82 



-f-0? 0072 



-f-0 . 0020 



6 



-t-0.37 



-i-0. 51 



—0 . 0053 



—0.0061 



11 



-1-0.83 



—0.32 



—0.0025 



—0.0016 



17 



-f-0. 49 



—0.31 



-♦-0.0040 



-f-0. 0016 



22 



-*-0.03 



-0.70 



—0.0136 



—0.0016 



28 



—0.65 



—0.02 



-f-0. 0101 



-f-0 . 0054 



The probable error of an equation of unit weight came out 

 and the sums of the squares of the residuals were as follows: 



0'.'28, 



[pvv] 

 [pvv] 

 [pvv] 



11.1083, for the right ascensions, 

 5.8956, for the polar distances, 

 17.0039, for all together. 



was 



The probable error of A re was ± Ol'l 1, and the probable error of \ n y 

 Ol'lO. 



It would appear from these residuals that the right ascensions are 

 even less accurate as compared with the polar distances, than might be ex- 

 pected from the error of measurement shown by the comparison of the two 

 observers. It seems best, however, to postpone the investigation of this 

 matter until complete measures of all the images can be made. 



With the above values of A n a? and A n ?y, the quantities d'J; and d' n Y\ 

 were now computed by means of equations (19). The results were as follows: 



We have therefore 



ct S 



0'.'58, 



d' r\ 



ft 



0:12. 



•H3.-MaT. CTp. 73. 



33 



