SECT. 1.] 



TO POSITION IN THE ORBIT. 



53 



log = 9.9758345 

 log = 9.0251649 

 log 7 = 9.9807646. 



Next we have log a t = 1.7914943, whence by Barker s table the approximate 

 value of w=70 31 44&quot;, and hence ,4 = 0.052983. To this A in our table 

 answers log B = 0.0000207 ; from which, log ~ = 1.7914736, and the corrected 



value of w= 70 31 36&quot;.86. The remaining operations of the calculation are &quot;as 

 follows : 



log tan 4 w 9.8494699 



logy 9.9807646 



9.9909602 



2 log tan 4 w . . . 9.6989398 

 log 9.0251649 



log 4 ...... 8.7241047 



A= ...... 0.05297911 



log B as before, 



C= . 

 4+0= . 



0.0001252 

 1.0425085 



= . 0.9895294 



log tan 4 v 9.8211947 



$v= ... 3331 30&quot;.02 

 v= ... 67 3 .04 



logy 0.0201657 



2 C. log cos 4 .... 0.1580378 

 lo g (l + Ayi_p O) . . 0.0180796 

 C. log (1 ---4+0) . . 0.0045713 



logr 0.2008544 



Those which we found above (article 26), v = 672 59&quot;.78, log r = 0.2008541, 

 are less exact, and v should properly have resulted = 67 3 0&quot;.00, with which 

 assumed value, the value of t had been computed by means of the larger tables. 



