ASTRONOMY. 99 



ty BOSSUT and JEAURAT. See also LA LANDE, 

 Astronomic, torn, in, 348 1. ; and CAGNOLI, 7H- 

 gonometrie, 1488. The series was continued by 

 JEAURAT, as far as the 9th power of the eccentri- 

 city. 



100. It is proved in that solution of KEPLER'S 

 Problem, that if 1 be the semitransverse, and e 

 the eccentricity of an elliptic orbit, x the mean 

 anomaly, reckoned from the Perigee, and y the 

 equation of the centre ; 



1 5 



y- + (2^ - e* -f e*)smz 





. 

 960 960 



This value of y, applied to the mean anomaly accord- 

 ing to its sign, will give the true anomaly. 



a. When the equation of the centre is found from this 

 formula, the constant coefficients must be reduced 

 into degrees and minutes, by multiplying each of 



them 



