7i Investigatio PERTURB ATIONUM 



Ac fi terminos per execntricitatem k aftcdos, ut pote 

 prae reliquis valde parvos negligamus, erit fuccindius: 



p z r. i b b cof. * nib b c { : 1 1 . r 



- b = '- \ i- m ; cc + v=^p\ { 1 s~g') of.* 



+ i(g'— ^"')M/.*.n + f(£r" — g"")cof.)n + *c) 



ubi notandum effe \ = \j^ , &ff= 6 b + cc. 



<§. XCVI. Ope earundem formularum fimplicium 

 integralium etiam vera excencricitas orbitae q per inte- 

 grationem differentialis (§. LXXXIV) evoluti affignari 

 potent j mode. adjiciatur /Va/z/z. v =.f*ffin. v = — '^L? t 



fi quidem porro ex his expreffionibus minimis terminos 

 excentricitatem/t involventes negligere pergamus. Hinc 

 igicur pofita excentricitate media = k , erit excentrici- 

 tas vera : 



t nlbb / -scof.j* — v ) cof. {* -+- v) \ . 



* c c \ im i ( t i — m) J ' 



nib' t gcof.v g' cof. f » — v) g' cof. (* -+- v) •» 



fi X i i. m x { i i — m ) & / 



r"cof.(i »-+- v) f 



2 ( ? j Iff!) J 



n i bbcC 



"7r\ 



b> t gcof.v g' cof. (r — v) g' cof. (* 



fi \ i i.m 



g" cof.( i.-v) g 



J ;! — 1 m) 2 ( 3 i Iff!) 



A*_fC g'^v (^g— 8")gg/f»— v) (ig— 3 f)cof ('*+•*] 

 / ' C a i 4 ffi 



[ld—f)c°f.ii.*-v) 



4 (i i — m) I 



! g '—ig'" lC o f . (i»-hv ( 



4 [3 i — z m) * 



4(i~i/») 



&C. 



Ubi quidem aflumimus excentricitatcm mediam k tan- 

 tam effe , in ejus refpedu iftx inxqualitates longe 

 fint minima; ; patet autem has ina:qualitates non ab 

 ipfa magnitudine media excentricitatis k pendere , fed 

 eafdem prodire five k fit major five minor. Quod fecus 

 accidit in variationibus lateris redi , qua: funt propor- 

 tionales ipfi magnitudini media; parametri. 



§. xcvn. 



