48] ON THE MEAN PLACES OF 84 FUNDAMENTAL STARS. 401 



POLAR STARS. 



Adopted places and proper motions of the 4 Polar Stars for the beginning 

 of 1800, to be employed in obtaining the places for every 5th year from 

 1830 to 1870. 



R A 1 snn Annual Proper _ , , . ft Annual Proper 



Motion in B. A. Motion in Decl. 



Polaris 13 6 20-631 + 1-32332 88 14'24 /r 493 + o"o0549 



51 Cephei 904151*950 -1-90675 87 16 34'340 -0'09101 



S Ursas Min. 279 941'220 +0*48557 86 33 43'415 +0'02306 



X Ursae Min. 312 53 29762 -079394 88 41 16'413 +0'01234 



Constants and formulae to be employed in reducing the above places to other 



epochs. 



If denote the inclination of the Equator of 1800 + t to the fixed 

 Equator of 1800, and if 90 z denote the Right Ascension of the inter- 

 section of the Equator of 1800 + with that of 1800, reckoned upon the 

 latter, and 90 + z' denote the Right Ascension of the same intersection 

 reckoned on the Equator of 1800 + t, then 



= 33' 26"-077 ( )-0"*430758 (--^-) -0"'04184025 

 21 = 38' 23"'1165 (-- J + 0"'3105775 



100/ ' 



= 38' 23-1165 +1-1156955 



and the values of 6, z and z' for the several Epochs mentioned will be 



as follows : 



e z z' 



1755 -15 2"-8181 -17 16'-33953 -1716'17650 



1800 000 



1830 +10 1-7832 +1130-9629 +1131'0354 



1835 11 42-0724 13 26-1288 13 26'2274 



1840 13 22-3592 15 21'2963 15 21'4251 



1845 15 2-6436 17 16'4653 17 16'6284 



1850 16 42-9256 19 1T6359 19 H'8372 



1855 18 23-2051 21 6-8080 21 7'0516 



1860 20 3-4821 23 1-9817 23 2'2716 



1865 21 437566 24 57'1569 24 57'4971 



1870 23 24-0285 26 52'3337 26 527282 

 A. 51 



