210 DETERMINATION OF AN ORBIT FROM [BOOK II. 



e = 32 2 28&quot; 

 2=137 27 59 

 z = 193 4 18 



The third must be rejected because sin s is negative ; the second because s is 

 greater than d ; the first answers to an approximation to the orbit of the earth 

 of which we have spoken in article 142. 



Further, we have, according to article 143, 



...... 9.8648551 



log (P -fa) ..... 0.1914900 

 C. log sin (z o). . . . 0.6103578 



....... 0.6667029 



logP ........ 0.0791018 



0.5876011 



47 r.51 = 21422 6&quot;.41; log sin = 9.7516736 n 

 54 32 .94 = 203 29 37 .84; log sin = 9.6005923 n 

 Hence we have \ogp = 9.9270735 n, log / = 0.0226459 n, and then 



log q 0.2930977 n, log q&quot; = 0.2580086 n, 

 whence result 



C = 203 17 31&quot;.22 log r = 0.3300178 

 &quot;=110 10 58 .88 logr&quot;= 0.3212819 

 Lastly, by means of article 144, we obtain 



i (&quot; + )= 205 18 10&quot;.53 



$(u&quot; )= 3 14 2 .02 



/ = 3 48 14 .66 



log sin 2/ . . . 9.1218791 log sin 2/ . . . 9.1218791 



&quot; 



logr 0.3300178 logr&quot; 0.3212819 



C.log 9.3332971 C.log^ 9.4123989 



* 9t. * VI 



log sin 2 / . . . 8.7851940 log sin 2 /&quot; . . . 8.8555599 

 2/= 329&quot;46 .03 2/&quot; = 46 43&quot;.28 



The sum 2/-J-2/&quot; differs in this case from 2f only by 0&quot;.01. 



