Til i; OK HIT OF URANUS. 



69 



The perturbations of the logarithms of the radius vector are given in a form similar 

 to those of the longitude. Under fyjj we have the complete perturbation. Under 

 fy>, the effect of the perturbations of long period. But under &p a we have only 

 tin- difference between fyj and fyj, it being deemed unnecessary to present in full 

 the perturbations of the radius vector as computed by the other method, fy, being 

 employed in computing 5w, may, in fact, be regarded as completely checked by its 

 affording a correct value of the latter. 



In the last two columns 5p, is reduced to common logarithms by multiplying the 

 coefficients by the modulus 0.434294. 



