ON THE PERTURBATIONS OF URANUS. 



11 



ANCIENT OBSEEVATIONS. 



Year. Observation - Theory. 



MODERN OBSERVATIONS. 



Year. Observation - Theory. Year. Observation - Theory. 



9. It is easily seen, that the series expressing the correction of the 

 mean longitude in terms of the corrections applied to the elements of the 

 orbit, is more convergent than that which gives the correction of the true 

 longitude, and the same thing is true for the perturbations of the mean 

 longitude, as compared with those of the true. The corrections found above 

 were accordingly converted into corrections of mean longitude by multiplying 



nt- 



each of them by the factor r, r being the radius vector, and a and b 



the semi-axes of the orbit. Hence these latter corrections were found to 

 be the following : 



ANCIENT OBSERVATIONS. MODERN OBSERVATIONS. 



Year. Observation - Theory. Year. Observation - Theory. Year. Observation - Theory. 



These numbers form the basis of the subsequent investigations. 



22 



