244 



CATALOGUE OF POLAR STARS. 



Computation of 



(P 



a 



dt 3 



By Bessel's Formulae 



By Hill's Formulae, 



By Tide's Formulae. 



log tan 3 5 5.2661846 log cos 2 « 9.8528923m log sin a 

 log sin 3 a 9.5950715m log constant 2.G391089 

 log constant 2.4027065 



log cos a 



9.9663226 



9.5786708m 



log (1) 



2.4920012m log constant 1.2248167m 



log sin a 

 log cos a 



(1) 



(2) 



los; 



log tan 2 d 



log cos 2 a 



log constant 



log 



log tan 8 



log sin 3 a 



log constant 



log (3) 



log tan 8 



log sin a 

 log constant 



7.2639626n log sin 2 a 9.8460234m 

 3.5107897 loci constant 0.9237867m 



9.8528923m log (2) 



0.7698101 



2.9401389 



log sin a 



6.3038209m log tan 8 



1.7553949 



log constant 



9.5950715m log (3) 

 2.2777678 log sin 

 3.6282342m 



a 



9 



9.9663226 log (2) 



1.7553949 



2.6176279m 



4.3393454m 



9.9663226 



9.8528923>i 



1.7553949 



log (4) 



log cos 

 1.7553949 log tan 8 

 9.9663226 log constant 2.5787978 

 2.7811577m log (4) 4.1534076m 



4.5028752m log cos « 9.5786708m 



log cos 2 a 9.8528923m log tan 8 



1.7553949 



(5) 



2.4920012m 



9.5786708m 



log constant 



log 



log tan 8 



log cos a 



log constant 



log (6) 



log t:in 2 8 



log sin 2 a 9.8460234m 

 log constant 1.2248167m 



2.6391089 log constant 0.8598285m 



log (5) 



2.1938942 



1.7553949 log cos 2 a 9.8528923m 



log tan 2 8 



3.5107897 



0.8598285m log constant 2.9401389 



2.1938942 



■» 



(6) 



6.30382o9m 



log constant 



log (7) 



log sin 2 a 



log 



log 



constant 0.9237867 



3.5107897 log sin 2 a 9.8460234m 



log tan 2 8 3.5107897 



1.2248167m 

 4.5816298 

 9.9663226 

 5.2661846 



4.5816298 



log ( 7 ) 



9.8460234m log sin « 



loer tan 3 8 



(8) 



0.7698101m log constant 2.4027065 



7.6352137 



9.9663226 



log (8) 



log sin a 



log cos 2 a 9.8528923m 



log tan 3 8 5.2661846 



log constant 2.7037365 



log 



(») 



7.7891360m 



0.7698101 

 9.1573410 

 2.9401389 

 2.0974805 

 constant -.0000000290 



log (1) 

 log cos 2 a 



log constant 



9.9663226 

 9.5786708m 

 log constant 1.5258467m 



log 



(6) 



1.0708401 



log cos 2 a 9.1573416 

 log constant 3.2411689 



2.3985105 

 constant -.00000008712 



log (7) 



(1) 



(2) 

 P 



log 



cos a 



+ 59 



+ 125 



.0000000106 



9.5786708m 



(6) 

 P. 



+ 118 



+ 2503 



.00000006091 



log constant 0.0816772m 

 log (3) 9.6603480 



9.9663226 



log 



P. 



log tan 2 8 



2. sin a 



lo 



log constant 

 log 



log 



P 8 tan 2 8 



2.7846886m 



3.5107897 

 6.2954783m 



(■*) 



2.8659993m 



log cos 2 « 9.1573416 

 lo 



sr sin a 



9.9663226 



log constant 2.8798278 



2.8996767m log cos 2 a 9.1573416 



9.96632-J6 

 3.0047665 

 2.1284307 

 9.9663226 



log (5) 



(3) + .000000000046 



(4) - 



(5) + 



log P, 



log tan 8 



73451 



10081 

 .000000063324 



2.8015683m 

 1.7553949 



log P tan 8 4.5569632m 



log sin a 

 log constant 



(8) 



log sin a 



2.0034920 log constant 2.4027065m 



log (9) 2.3690291m 



(8) +.000000013441 



1 



.000000023390 

 .000000009949 



logP 8 



log tan 3 8 



log P 3 tan 3 8 7.2639640m 



1.9977794m 

 5.2661846 



s. 



Constant +0.0000000145 



s. 



(1) 



(2) 

 (3) 



(-1) 



(5) 

 (6) 



CO 



(8) 



fl- 



ee 



dt 



+ 



+ 

 + 



18363802 



2012894 



4248 



31833 



310 



156 



38162 



6 



0.0020374618 



Constant + 0.0000000145 



s. 



(1) 



(2) 

 (3) 

 (4) 



(5) 

 (6) 



(?) 

 (8) 



(9) 



+ 



+ 



+ 

 + 



310 



6 



21844 



1 4237 



156 



2012894 



38162 



43173149 



61536957 



0.0020374624 



P 



Pj tan d 



P 2 tan* 8 



P 3 tan 8 8 



0.0000000106 



36055 



1974596 



18363861 



0.0020374618 





