790 



set into motion. For very great and very small values of R, the 

 constants A in the expression (16) can easily be determined. 

 We can also use (9) and (11). Let us write (11) in the form 



nl xn 



cos 



y -=2 e 



I'M I . 



2a a 



cos 



il 

 27* 



and let ns introduce the value of n from (9), we then find 



4:HH 



where ög 



y =e 



2HH'' 



R^js^jt' 

 4HH 



JX{Jf> JZ II ^Qg — _ — ^ __ 



R , nsx\ 



— sin I 



ds a J 



Separating the real and imaginary parts, we find 



= '2&e 



Rqs^nH\(^_l U - cos "^^ cos n, t + 

 I — 1 — cos 



sm sin nut | Af, 



a 



■) 



S<' I -^^s 



I --SI ^.S'^' \ . . ^S'^ ^ 7-, 



-|- I — ( 1 — cos I sin Ug t — sin cos ngt 1 Bg 



For the time t =z 



Id,/ ns.v\ . ngx 

 ^0 = -^s p I 1 — cos ] As —sm ±(s 



a 



a 



and 



-f =r JS", lis sin ^s + D 



dtj^ I a R 



I 



dtj, 



I 



utting ji 



I 



ƒ 



Bs -\ Bs 



Ros'' 71^ 



S7TX ly sjrx 



y^ sm d,v =zas and I — - — ax = bs we have 







_ 2(fs I 



1 2ns _ „ 4ZÏ^/ 



as =ns-As^~^2ösBs+ — ^- Eg . 



2 R ÜQs'ns 



For R=(X> we get bs= — - Bg, a, =z-^Ag. Therefore Bg—-- bg 



and As=. — ag . Putting 



Ugl 



2 as 



As=- — as + — 



Znc R 



Bg = --bs + 



^s 



11^ 



