296 



Epoch, 



1851 

 1843 

 1835 

 1827 

 1819 

 1811 

 1803 

 1795 

 1787 

 1779 

 1771 

 1763 

 1755 



t 



24 



32 



40 



48 



56 



64 



72 



80 



88 



96 



104 



112 



120 



CATALOGUE OF 



POLAR STARS. 



• 





Assumed Values Computed Values 



of r - r n of y — r u 



A 



- o!'004 



- 0*004 



+ o!boo 



+ 0.000 

 + 0.004 

 + 0.012 

 + 0.028 

 + 0.060 

 + 0.106 

 + 0.170 

 + 0.263 

 + 0.396 

 + 0.604 

 + 0.990 

 + 1.796 



+ 0.000 

 + 0.004 

 + 0.012 

 + 0.027 

 + 0.069 

 + 0.106 



+ 0.159 

 + 0.241 

 + 0.396 

 + 0.657 

 + 1.095 

 + 1.796 



+ 0.000 

 + 0.000 

 + 0.000 

 + 0.001 

 0.009 

 + 0.000 

 + 0.011 

 + 0.022 



+ 0.000 

 0.053 

 0.105 



+ 0.000 



It is evident that the interval of twenty-four years is in 

 allow an exact reproduction of the intermediate values of Y { 

 therefore, equations (66) with the interval w 



■*- \2* 



too great to 

 We employ, 



hich it is necessary to comp 



the additional values for t 



20, t 



and t 



100. 



COMPUTATION 



Epoch. 



t 



r. 



r. 



12 



1855 

 1835 

 1815 

 1795 

 1775 

 1755 



20 

 40 

 60 

 80 

 100 

 120 



a 

 b 

 c 



d 

 e 



f 



-0.002 

 + 0.004 

 + 0.043 

 + 0.170 



+ 0.480 

 + 1.796 



Whence by equations (66) 



1 



cV 



a 



clt 



d' 2 



a 



2 dt 2 



1 d 



7 8 



a 



6 dt z 



OJ005808 



+ 0.00064775 



0.000026536 



1 cP*a 

 24 dt* 



1 d' 



a 



120 dt 5 

 1 d' 6 a 

 720 dt* 



9. 



+ 0.00000050287 



0.0000000043880 



+ 0.000000000014714 



The 



Y, 



o 



rU are now 



presented 



foil 



