CATALOGUE OF POLAR STARS 



207 



Epoch. t Assumed Values Computed Values . 



°* ■*<» ~ * n of Y a — l' u ** 



*• : 



1855 20 -0.002 -0.002 +0.000 



1851 24 -0.004 -0.004 +0.000 



1843 32 +0.000 +0.000 +0.000 



1835 40 +0.004 +0.004 +0.000 



1827 48 +0.012 +0.013 -0.001 



1819 56 +0.028 +0.030 -0.002 



1815 60 +0.043 +0.043 +0.000 



1811 64 +0.060 +0.057 +0.003 



1803 72 +0.106 +0.088 +0.018 



1795 80 +0.170 +0.170 +0.000 



1787 88 +0.263 +0.256 +0.007 



1779 96 +0.396 +0.384 +0.012 



1775 100 +0.480 +0.480 +0.000 



1771 104 +0.604 +0.611 -0.007 



J 703 112 +0.990 +1.030 -0.040 



1755 120 +1.790 +1.796 +0.000 



In the choice of the interval w, it will be safe to assume any value not exceed- 

 ing 15 when equations (64) and (66) are employed. When the interval does not 



exceed ten years, the correspondence will in any case be exact for the interme- 

 diate dates. 



The following residuals, Y — Y z , will indicate how far beyond the last value of 

 the series the correspondence with the exact values may continue. They were 

 computed from equations (6G), using slightly different elements from those thus far 

 employed, in which w = 10. The correspondence for sixty years was found to be 

 exact in every case. After this time, the assumed and the computed values were 

 found to be as follows: 



Epoch j Assumed Values Computed Values ^ 



of y — r a of y — 1 3 



1810 65 + 6L27 + 6L26 + 5 .bl 



1805 70 + 82.02 + 81.98 +0.04 



1800 75 +107.38 +107.32 +0.06 



1795 80 +137.88 +137.74 +0.14 



1790 85 +174.06 +173.75 +0.31 



1785 90 +216.44 +215.81 +0.63 



1780 95 +265.51 +204.36 +1.15 



1775 100 +321.75 +319.81 +1.94 



