CORFORVM COELESTIVM. ip% 



cuius integratio maxime ardua videtur. Verum cum 

 certnm fit , hunc motum elTe regularem , quia a vi 

 3 ~T oritur , iuuabit conformitatem huius fbrmulae com- 

 plicatae cum motu regulari monftraiTe. Sit igitur verae 

 orbitae , quam motu regulari corpus defcribit , latus re- 

 dum — S; excentricitas rr k , et anomalia vera zzicr: 



erit xzz 1 _ f _ )t co/.g- i et diftantia minima ~ r^ > maxima 

 vero zz jzr K \ Motus autem per problema primum ita erit 

 comparatiis , vt fit d$ V UL*£2£ = £•£&*#• At ex 

 formulis , pro motu perturbato , inuentis eft diftantia 

 x — c-^ac,; .5--f.co/.5.y(B^o/.s»-^ 2 cD) > vnde, fi ponatur j = o, 

 prodit diftantia minima , maxima vero fi j= i 8o° , fic- 

 que erit 



g C b g C b 



- et 



,4_ K — c-hb-+.v(b 2 -h 2 cd) ct ,_k — c+b- v(B*-f-Tc TdI 



ex quibus elicitur g ~ ^- et k zl- V(B c^ B ~« Hinc 



porro obtinemus 



Cb Cb 



* C- r -B-f-cq/.0-.V(B 2 - r -:CD) ' C-r-Bco/.s 2 -+-coJ.s V(B*co/.s*_ r » 2 CD) 



itaque erit cof cr - ^tfB^jfcJgftrSft*: et 

 H-Hcof^^^^f^^^^. Cumautemfit 

 fin.oo = iggfa et cof.u - *%j£%g$ 4 manifeftum 

 eft , efie coi cr — cof.i cof.oj-fin.jfin.co, ideoque cr~s-t-<j) y 

 vnde intelligitur angulum <r a loco fixo efle computa- 

 tum , prorfus vt in motu regulari fieri folet j fumitur 

 (ciiicet anomalia vera cr a linea abiidum , quae eft immobilis. 

 Deindequia eft d(T~ds-\-dtt , at ^oi cof oj rr ^|~^j, 



- r \t /Jt\— E <? * cof, s «. j dt[Bc qf J-+-V ( B»go/j a ->-a CD)3 . 



eru a cu_ v(B*co/S~h7cDJ et " " — yii^co/.s 4 -*.» cd) 

 Quibus valoribus pro g, dcr et i+h cofo* fubftitutis 

 Tom.VI. Nou.Com. Bb aequa- 



