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

 to those of the longitude. Under ^pi we have the complete perturbation. Under 

 5p2 the effect of the perturbations of long period. But under ^p^ we have only 

 the difference between 5pi and 5p2, it being deemed unnecessary to present in full 

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

 employed in computing Sv^ may, in fact, be regarded as completely checked by its 

 affording a correct value of the latter. 



In the last two columns Sps is reduced to common logarithms by multiplying the 

 coefficients by the modulus 0.-434294. 



