244 



CATALOGUE OF POLAR STARS. 



Computation of 



(Pa 



By Bessel's Fornralae. 



log tan' 5 

 log sin 3 « 

 log constant 



log (1)^ 

 log tan- (5 

 log cos 2 « 

 log constant 

 log (2) 

 log tan S 

 log sin 3 a 

 log constant 

 log (3) 

 log tan 5 

 log sin « 

 log constant 

 log (4) 

 log cos 2 « 

 log constant 

 log (5) 

 log tan 5 

 log cos « 

 log constant 

 log (C) 

 log tan'' 5 

 log sin 2 It 

 log constant 

 log (T) 

 log sin 2 « 

 log constant 

 log (8) 



5.2661846 



9.5950715/1 



2.4027065 



7.2639626n 



3.5107897 



9.8528923;t 



2.9401889 



6.3038209« 



1.7553949 



9.59507 15« 



2.2777678 



3.6282342?i 



1.7553949 



9.9663226 



2.7811 577?i 



4.5028752/1 



9.8528923?i 



2.6391089 



2.49200 12« 



1.7553949 



9.578G708n 



0.8598285/1 



2.1938942 



3.5107897 



9.8460234/1 



1. 22481 67/t 



4.5816298 



9.84G0234/i 



0.9237867 



0.7698101n 



By Hill's Formnlae. 



log cos 2 a 

 log constant 



log (1) 

 log sin 2 a 

 lo£r constant 

 log (2) 

 log sin « 

 log tan 8 

 log constant 

 log (3) 

 log sin a 

 log cos 2 a 

 log tan 8 

 log constant 



log (4) 

 log cos u 

 log tan 5 

 log constant 

 log (5) 

 log cos 2 « 

 log tan- 8 

 log constant 

 log (6) 

 log sin 2 a 

 log tan- 8 

 log constant 



log (7) 

 log sin a 

 log tan' 5 

 log constant 

 log (8) 

 log sin a 

 log cos 2 a 

 log tan' 8 

 log constant 

 log (9) 



9.8528923/1 



2.6391089 



2.4920012/1 



9.8460234/1 



0.9237867/i 



0.7698101 



9.9663226 



1.7553949 



2.6176279/1 



4.3393454/1 



9.9663226 



9.8528923m 



1.7553949 



2.5787978 



4.1534076/i 



9.5786708/1 



1.7553949 



0.8598285/i 



2.1938942 



9.8528923/1 



3.5107897 



2.9401389 



6.3038209/1 



9.8460234/1 



3.5107897 



1.2248167/1 



4.5816298 



9.9663226 



5/2661846 



2.4027065 



7.6352137 



9.9663226 



9.8528923/1 



5.2661846 



2.7037365 



7.7891360m 



By Tide's Formnlae. 



log sin a 

 log cos « 

 log constant 



log (1) 

 log cos^ a 

 log constant 



log (2) 

 constant 



(1) 

 (^) 

 P 



9.9663226 



9.5786708/i 



1.2248167/i 



0.7698101 



9.1573416 



2.9401389 



2.0974805 



-.0000000290 



+ 59 



+ 125 



-.0000000106 



log cos « 



log constant 

 log (3; 

 log sin a 

 log constant 

 log (4) 

 log cos* a 

 log sin « 

 log constant 

 log (5) 



9.5786708/1 



0.0816772/1 



9.6603480 



9.9663226 



2.8996767/1 



2.8659993/t 



9.1573416 



9.9663226 



2.8798278 



2.0034920 



(3) +.000000000046 



(4) - 73451 



(5) + 10081 

 P, -.000000063324 



log P, 2.8015683m 



log tan 8 1.7553949 

 log P, tan 5 4.5569632/J 



log sin « 

 log cos « 

 log constant 

 log (6) 

 log cos- a 

 log constant 

 log (7) 



9.9663226 



9.5786708/1 



1.5258467m 



1.0708401 



9.1573416 



3.2411689 



2.3985105 



constant -.00000008712 



(6) + 118 



(7) + 2503 

 P„ - .00000006091 



log P. 

 log tan" 8 

 lo 



2.7846886/1 

 3.5107897 



Pjtan=i5 6.2954783/j 



log cos* a, 

 log sin a 

 log constant 



log (8) 

 log sin a 

 log constant 

 log (9) 



(8) 



(9) 



9.1573416 

 9.9663226 

 3.0047665 

 2.1284307 

 9.9663226 

 2.4027065/1 

 2.3690291/i 

 + .000000013441 

 -.000000023390 



P3 -.000000009949 



logi', 

 log tan' 8 

 lo 



1.9977794/1 

 5.2661846 



P3 tan' 8 7.2639640/1 



Constant +0.0000000145 Constant + 0.0000000145 



(1) 

 (2) 

 (3) 

 (•i) 

 (5) 

 (6) 

 (7) 

 (8) 



+ 



+ 

 + 



18363802 



2012894 



4248 



31833 



310 



156 



38162 



6 



dt' 



- 0.0020374618 



(1) 



(3) 

 (-») 

 (5) 

 (6) 

 (7) 

 (8) 

 (9) 



+ 



+ 

 + 



310 



6 



21844 



14237 



156 



2012894 



38162 



43173149 



61536957 



0.0020374624 



Pj tan 8 - 

 P, tan- 8 - 

 P'^ian^ 8 - 



0.0000000106 



36055 



1974.596 



18363861 



- 0.0020374618 



