THE ORBIT OF NEPTUNE. 



21 



The values of those constants which depend on the ratio of the mean distances 

 are as follows, using the notation of the Mecanique Celeste : 



L URANUS AND NEPTUNE. 



c /i ( ; 



rf^T 



s i 



dK 



d'V? 



j<0 







1 



2 

 , 3 



4 

 5 

 6 



7 

 8 

 9 



It will be observed that in 5|, atff, and their differential coefficients, we have 

 included those multiples of which are introduced by the action of Uranus on 

 the Sun. It seemed less laborious to do this than to make, a separate computation 

 of the terms produced by this cause. But for Saturn and Jupiter ^ is so large 

 that it will be better to use the developments previously given. 



oc 



