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

 Hence our equations are the following: 

 Non-periodic Term, 



= ^(- -329943) +^( 



ndt v at 



-0010663) +Sa 5 (- -0349633) + nSa/ (--1386050) 



' (-0231365) 



^ (-'0005349) +n86, (- -016 1916) +w86/ (-'0647496) 



(-0106998). 



Coefficient of sin <b', 



= $- ('3806029) + nSa, ( 3'01400) + w8a, ( - '0559897) + n8a, ('0579772) 

 + n8b, ('1496026) + nSb s (- '0251580) + nSb, ('0279848). 



Coefficient of cos <', 



= ^- ( - -0146402) + nSa, ( - '1 496026) + S 8 ( - '0335499) + nSa 9 ( - '0363767) 

 + n&b, ( - '00576663) + nSb s ( - '0151979) + n&b, ( - '0171854). 



Coefficient of sin 2f, 



- 

 ndt v at 



+ nSa,/ (-1536989) + w8a 5 (6 -43238) + nSX(- '0290904) + n8a/(- '0310087) 

 + nb.f' (-0319065) + w86 6 (370079) + nSbjJ (- '0253577) + nSb^( - "0273986). 



Coefficient of cos 2f, 



- -0049402) + %Sa 5 ( - 370079) + nSa 8 e' (-0253118) + wSa/ ('0274445) 

 2 e' ('0298439) + n86, ( - 3'4241 4) + n8&/( - '0014941) + nSb, e'(-0004242). 



Coefficient of sin (2f <(>'), 



dp' 



^- (-0163800) + n8a 2 (- '0332935) + w8a 8 (6-16115) 



(-0069785) + n86 8 (3-55119). 



