294 



CATALOGUE OF POLAR STARS. 



log sum 



8.89801w 



log 16 1.20412 

 log s 7.69389 



logl 



d' a 



h dt 

 d'a 



dt 



0.00000 



7.69389rc 



0.0049419 



log sum 

 log 16 a 



lo2 U 



log 2 



9.50389 

 2.40824 

 7.09565 

 0.30103 



1 d'-a 



'l 2 



log 



° 2 dH 



6.79462 



1 d' 



a 



2 dt 2 



+ 0.00062318 



log sum 

 log 16 s 

 log V 



log 6 



log 



1 d> 



3 



a 



6 dt* 



1 d' 



a 



6 dt* 



9.86969;* 



3.61236 



6.25733>i 



0.77815 



5.47918« 



0.000030143 



31 a 



+ J-F d 

 19 e 



+ ¥-/ 



Sum 



s. 



+ 6.98700 

 + 0.03100 



38.72000 

 + 32.74200 

 + 48.96300 



48.94808 



+ 1.05432 



+ 20 a 



- ¥ h 

 + 60c 



- -»£ d 

 + 16e 



Sum 



0.02000 

 4.84500 

 + 28.80000 



-26.01000 

 -41.23200 

 + 43.19000 



0.11700 



+ 15 5 

 6 a 

 20 c 

 + 15^=+ 9.180 



6e 



+ / 

 Sum 



+ 1.530 



+ 0.006 



9.600 



+ 15.462 

 - 17.276 



0.698 



log sum 

 log 16 4 

 log X 



log 24 

 1 d' 4 



l0g 24c^ 



a 



0.02297 

 4.81648 

 5.20649 

 1.38021 



3.82628 



log sum 



log 1 6 5 



log y 



log 120 



1 d' 6 a 



log — ■ 



fe 120 dt 6 



9.06819» 

 6.02060 

 3.04759^ 

 2.07918 



0.96811w 



lo 



log sum 

 }og 16 6 

 logs 

 log 720 

 1 d n 



a 



tr 



720 dt 6 



9.843 86/* 



7.22472 



2.6191 in 



2.85733 



9.76181w 



1 d> 



a 



24 dt 1 



+ 0.00000067032 



1 d 



>6 



a 



120 dt 5 



0.00000000062985 



1 



d'*ct 



720 dt* 



0.00000000005779 



These values of the partial differential coefficients represent exactly all the 

 values of T — Y± given on page 267 for every year from 1875 to 1803. 

 The residuals are as follows: 



Epoch. 



/ 



Assumed 

 Values of 



r„ 



Y. 



Computed 

 Values of 



A 



Epoch. 



t 



Assumed 

 Values of 



Y< 



> r 4 



Computed 

 Values of 



r - r t 



A 



1867 

 1859 

 1851 

 1843 

 1835 

 1827 

 1819 

 1811 



8 

 16 

 24 

 32 

 40 

 48 

 50 

 64 



*. 

 0.002 



0.001 



+ 0.024 



+ 0.102 



+ 0.256 



+ 0.480 



+ 0.681 



+ 0.612 



». 



g. 



0.002 

 0.001 

 + 0.024 

 + 0.102 



+ 0.256 

 + 0.480 

 + 0.681 

 + 0.612 



+ 0.000 

 + 0.000 

 + 0.000 

 + 0.000 

 + 0.000 

 + 0.000 

 + 0.000 

 + 0.000 



1803 

 1795 



1787 

 1779 

 1771 

 1763 

 1755 



72 



80 



88 



96 



104 



112 



120 



0.207 

 2.577 

 7.703 

 17.276 

 33.558 

 59.531 

 98.449 



S. 



0.212 

 2.579 

 7.745 



17.279 



33.690 



60.043 



100.391 



S. 



+ 0.005 

 + 0.002 

 + 0.042 

 + 0.003 

 + 0.132 

 + 0.612 

 + 1 .942 



We shall find in a similar manner from the sixteen-year intervals the following 



values of 



195 



g 



fficients of t. f 



268, viz.: 



& 



from the residuals Y ( 



o 



Z 4 from 1875 to 





