EVOLOTIO FUNCrlONIS PERTCRBATRICIS ETC. 257 



ob exiguitatetn anguli <^ erit tjuampioxime 



tang7) = 2tangl7i; 

 ideoque pro niassa in 



Un^^f — llani^; 

 et pro massa m' 



Denique series, quae per eas siibstiluiiones derivabilur, or- 

 dinetur per excenlricitales , ac qiiauiilaies p,q,p',(f \ erit 



R = 



m' -»-oo 



— -^ As'>cosi(n't—nt-^B — e) 



2 -M ^ ' 



m 



I 2S /A(')sin/(ra7 — nf-f-e' — e)sin(«<-t-£ — o) 1 



I — ■^ ''^ { '^ \cosi(n't—nt-*-e' — £)cos(nt-*-e—0)\ 



,-t-(>D 



— 25^ /'A(Osim(«'i— nf-f-a'— 6)sin(ra'f-t-£' — o') 



".e 



2 i +05 /^A(') 



^+00 /dAi'h i 



— Z a'l-—icosi(n't—nt-¥-E' — £)cos(n'^-»-£' — «')\ 



,-t-oo 



/ 



J 2 /A(')sin/(n'<_nf-He' — £)sin2(nf-4-£— o) 



—00 



\ 



-HOO 



- 2 S <2A(0cos/(« '< - «'<-(-£'— e)sin2(nf-t-£—o) 



T-^* ( 



—00 



-t-oo /dA{')\ 



+00 /rfA(')\ 

 •' -1-00 \ da / ^ ' 



-00 /t?A(')\ 

 — 2_ /rt| -^ lsin/(/i'f— nf-Hf'— £)sin2(nf-^£— o) 



+00 /</A(0\ 

 ~i^ '*( ■"/ — |cos<(«'t - nf-i-fi'— £)cos2(w^-*-£ — o) 



, H^ /rf^AOK ■'/ 



"*'2^ aM-— ■ |cos/(n7— nf^.£'— £)cos'(n<M-£— o)/ 



