PHOTOGRAPHIC RESEARCHES NEAR THE POLE OF THE HEAYENS. 



75 



Then, with the aid of equations (15) and (8), and making use of the approx- 

 imate values already given for (a) and (t:), we have computed the following 

 final coordinates of the stars. 





Final Positions. 



Star. 



Right Ascension. 



Polar 



Distance. 



1 



236°45' 7" 



400*22 



2 



8 17 59 



572.64 



8 



241 13 54 



801.01 



4 



48 14 10 



1160.48 



5 



44 8 16 



1488.40 



6 



173 25 34 



1813.74 



7 



164 43 88 



2492 . 20 



8 



348 2 1 



2710.25 



9 



190 35 15 



2740.34 



10 



291 15 49 



3654 . 43 



The 



probable errors of these positions, 



puted 



plained on p. 59, and reduced to arc of a great circle for 



ascensions, are: 



0.18, for the right ascensions, 

 0'.'l 7, for the polar distances. 



A substitution of 



the values 



which are our fundamental 

 the residuals: 



we have obtained in equations (12), 

 gives for the sums of the squares of 



[pvv] 

 [pvv] 

 [pvv] 



The correspondin 



11.108, for the right ascensions, 



5.896, for the polar distances, 

 17.004, for all together. 



for the 



of the 



scope was : 



[pvv] 



28.23. 



The above star-places are the apparent places corresponding 



A 



59" 



Helsingfors sidereal time, 



N 



The right ascensions should 



and the polar distances should all require to 



be multiplied by a constant factor differing but slightly from 



Closely 



approximate values of these corrections can be obtained by comparing the 

 position of star 10, which is X Ursae Minoris, with its known position. The 

 apparent place of this star, taken from the Jahrbuch, with Au wers' correction 

 from Astr. Nach. 3440, is: 



*B3.-Mat. crp. 75. 



35 



^ 



