126 THE SECULAR ACCELERATION OF THE MOON'S MEAN MOTION. [4 



Coefficient of sin(2f+<') in First Equation, 

 - (2 - mf n'Sa, + 2(2- m) n + 2, 



. T2 dn da ~\ ,_ \ |~ * ^1 



-2(2-m)aJ--j-+ft ,- - (2 - 2w) a 5 mn'oOj + w -,- 2 



ma 2 (2 2m) 2 S., + n -, ." 



(2 - 2m) 6, fmn'Sfc, - w SI + m6 2 f"(2 - 2i) 



3 3 



+ - wXSc&n + 9 wXSrt, + 



^J ^J 



Coefficient of cos(2f+^') in Second Equation, 



- - (2 - wi) s S S6, + 2 (2 - 



~ 8 



- 2 (2 -m) 6, + 2n - (2 - 2m) 6 5 mn'So, + n 



- -HI&, |~(2 - 2m) n^a rt + n ^'1 - 2 T(2 - m) -'Sa 9 + w -^ 1 



- (2 - 2m) a 5 T - m7i 2 36 2 + n 1 - m 2 " - (2 - 2m) n*$b t + n 



We now proceed to form these equations numerically with the following 

 values for the known quantities : 



a = '00089,40892 



a, = e'(- -00692,95) 6, = e' ( - '1 9057,67) 



a. = -00717,9892 6. = '01021,1346 



a s = e' (-03036,04) b s = e' ('04396,33) 



a, = e'(- -00445, 1 2) \ = ef(- -00624,23) 



