ON THE SQUARE BAR MICROMETER. 



177 



Correction for Position Zero, Equations (32) and (2 



46 ' 16.50 

 49 46.50 

 54 13.60 

 58 13.00 

 3 22.85 

 6 52.75 



2 



2 



log(-0\18) 

 15 cos 8 



0.10 

 0.10 

 0.10 



0.20 

 + 0.05 

 0.65 



0.18 



Equation (32) 



9 



jo'sinl" 

 log (38.97) 



Equation (26) 



Corr. of (a' — a) 



n 9.2553 

 1.17:21 



n 0.4274 



2.9465 



n 7.4809 

 1.5907 



n 9.0716 

 0'. 1 2 



applied on p. 176. 



From Chauvenet 



Then 



Astronomy, II., equati 



(348) 



50° 12', q 



lOgK 



6.443 

 0.079 

 0.158 

 9.996 

 lose tan 8 n 9.131 



log tan £ 

 log tan 2 £ 



log cos 8 



log sin q 

 log cos q 



n 8.790 

 9.999 



log sin 2 q n 9.090 

 log cos 2 q 9.997 



3° 32 



Eefraction Correction. 



In Right Ascension, Equation (23). 



In Declination, Equation (20). 



tan 2 £ sin 2 q 

 K(d'-d) 

 a. c. (15 cos 8) 



A (a' - a) 



n 9.248 

 8.905 

 8.828 



O'.OOl n 6.981 



tan 2 £ cos 2q +1.43 

 (tf'-<0 



0.155 

 8.905 



A (8' -3) 



+ 0".ll 



9.060 



It can be seen by inspection that, on account of small declinat 



and 



moderate motion, the corrections for 



and proper motions must be in- 



gnificant; also, that the refraction correction must be very small; the latter 



is computed, however, to illustrate the spe 



formula (23) for the case of 



adjustment to 



pparent motion 



u—t, 



68.0 



68.2 

 68.8 

 69.0 

 65.5 

 65.5 



67.50 



VOL. XI 



Value of Diagonal, Equations (33) and (35) 



u—u. 



50.8 

 50.8 

 50.0 

 49.4 

 53.4 

 54.4 



51.47 



Sum. 



8. 



118.8 

 119.0 

 118.8 

 118.4 

 118.9 

 119.9 



118.97 



Equation (38) I 



r log (118.97) 

 V cosS 



Equation (35) 



23 



^j» 2 sin 1" 

 9 K 



9 



ft 



884.22 

 -0.01 

 -0.24 



883.97 



2.07544 

 0.87112 



2.94656 



