2 LECTURES ON THE LUNAR THEORY. 



This was the cardinal feature of Adams's plan, and his lectures shew 

 the methods he had gradually elaborated to accomplish it. They separate 

 the inequalities from one another as far as possible, and are content with 

 indicating the manner in which these separate inequalities afterwards com- 

 bine. To shew that, with so slight an apparatus and within so small a 

 compass, the result is no mere sketch, we need but set side by side the 

 coefficients of longitude found in these Lectures and the corresponding terms 

 in Delaunay's Theorie. 



Adams. Delaunay. 



Variation, coeff. of sin2Z> 2106'4 2106-25 



sin4Z> 8-74 875 



Parallactic inequality, sinZ> -124'90* -127'62 



sin 3-D 0'73 0'84 



sinSD O'Ol O'Ol 



Annual equation, sml' -658'9 659'23 



sm(2D-l') 152-09 152'11 



sm(2D + l') -21-57 -21'63 



Evection, am(2D-l) 4596'6 460777 



sin(2Z> + 4 175-1 174-87 

 Further, 



Motion of Apse, 1-c '008554 '008572 



Motion of Node, g-l '003997 '003999 



For those to whom the difficulties of the Lunar Theory are known, 

 these numbers need no comment. 



No Manuscript exists of Lecture I. It is taken substantially from my 

 own notes of 1889.] 



F With Delaunay's value of the Sun's Parallax, viz. 8"-75. 



