(1) 



1165 

 d(fa _ die, 



'dt^ ~ a^' 



dd^ d'{R, + R,) d'H ö'i^ dR, 



dt ÖQ* dpd<7 dodo öq 



döS> è'R, d'R, d°-R, d/t*, 



dt OQOr; drs' OöoO da 



In the eoefïicieiils of dQ,<\ii,ö6, as well as in tlie known terms of 

 these differential equations, the values of (^,ö,d,ii for e = are to 

 be substituted ; further the terms of H, of the second order and 

 higher in e' are to be omitted ; thus ^) : 



m' 

 R, = — e'[g {&) cos <2 + h (0) sin Si] . (2) 



a 



The values of Q,o,Ofi for e' = are functions of two constants 

 of integration, <\ and q, and two linear functions of the time, r and 

 tcT, which both contain an additive constant of integration ; the 

 formulae for the four variables are*): 



a= :S iJp lAi' , 52=17+ i: Sij, {IP , ] (3) 



;'=0 ;,=0 



l^ 



m 

 M 



where 



(,^, = 2: (iii',-V cos ST, ^j, = :S Oyi'.^i sin ST, llj, z= ^ i2 (/'.•' ism sr, 



S=0 s=l fztzl 



p=co 



r = vt-\-y, v = n:Sr,,^inP, V (4) 



,.=0 



W = yj^ const., X = ft* ^ X/'+2 l-i'\ 



and (J,; a,,.., a,,,..; <9 (/'.«) ; Q(h^); i2(/v'i; Vj,; •//. ; and y are constant 

 quantities. Deviating from the notation of the "Investigations", the 



M Investigations, p. 22. 



^) Investigations, p. 23 and Proceedings, Vol. XXI, N". 6 and 7. 



