132 ESSAYS AND OBSERVATIONS 



EXAMPLE II. 



. In the qrbit of MarSy the mean diftance is 

 to the excentriclty as 152369 to 141 oor 

 Suppofing the mean anomaly to be 1°, it is 

 required to find the anomaly of the excentric. 



The log, tang, of 30', half the 



angle ACB, is 7.94085R4 



The difference of the logs, of AS, 



SP is ' o,o8o6q86 



The differiehce 7.8602498 



is the log. tang, of 24^9 1968 14, half the dif- 

 ference of the angles CSB, CBS i therefore, 

 the angle CSB, that is the angle ACD, is 

 ^4'.9i968r4; and the angle CBS, that is 

 the angle BCD, is 5.0803186. Again, to 

 determine the angle CDS, 



The log. tang, of half the angle 



ACD is 7^8.958249 



The difference of the logs, of 



AS, SP is 0,0806086 



The difference 7.8152163 



5s the log. tang, of 22'.464i426, half the 

 difference of the angles CSD, CDS j there- 

 fore 



