.Al' Astronomia mechanica. 299 



ScQiiaxis ergo transversus fere par augmentum accipit atque semiparameter, atque hac actione 

 tempus periodicum augetur in ratione 1 ad I -»-2,31519/1, seu annus augmentum capiet 



= 8^5/1 dicrum = 18280/1 hor. = 1096800/i min., 

 unde si comcta terrae esset aequalis, augmentum anni hinc natum foret = 4-', 50". 



Pro excentricitate q, cum sit /) = (1 -^qq)r, erit 



t P . n j — fdp -+- pdr dp pdr 



qq ~ i — - et 2qaq = = -i-~ : 



fiat ergo hic calculus W/j = 5,1921 V91 ^p = 4,987^160 



/^/^=3,2278867 Idr = 5,188V95V 



auIiAir/; 



1,96V262V "^" 10,1759114. 



— 92,100/1 lqn= 8,2278867 



1,9V802V7 



-t- 88,720/1 

 ergo ^9 = — 2^6,05 /i-*- 4 V,36/i = — 1,69/1, 



unde patet excentricitatem fere nullam pati mutationem, nisi massa comctae plurimum suporet 



massam terrae^, si sit aequalis massae Jovis, fiet d^ = — 0,00 l^V et g-f- ^7 = 0,01426, unde 



aequatio centri valde imminucretur. . i . 



Pro variatione perihehi in orbita, si ponamus angulum QLB = aj formula supra inventa ita 



exprimatur ^^^ laij^iia e«jfloUf>J. ? nim ; ;Ufi ti^emji «njJiuio 



du = — 3^f — ^ (— 3] ((1 -^qcoss) cos A cos 5 -*- (2 -H ^ cos 5) sin^sin^jj» '^avm 



quae ergo ita evolvetur oh {-^qcoss=-'. 



lp= 4,9874160 bfi OS o oHoti^ImI < 2-t-qcoss= 1,96469 



Iv = 5,0030295 l{2-i-qcoss)= 0,2933161 



^(l-Hgcos*):^ 9,98V3865 ' ^' ^-^^^^^^ "^y-Hsin /11= 8,9749624 ''' 



;cosA= 9,9970829 . J:>:,'Xi r:::v^<^-C. ; 01 <"<>ijsTn^ = — 9,9562678 



lcoss = — 9,6305243 (;T€l8qO,e —9,2245463 



— 9,6119937 



pars postrema = — 0,40925 — 0,16770 = — 0,57695 

 ipartispostr. = — 9,7611382 i^l 2,6602521 



lu = 5,02!t!tll8 ,1^.. ^;| ,„. ,„; ,, , ., — 2.2!)0776 fi- 



— 7,iti!i.9994. iaegr.= 1,9612787 

 lp = »,987tl60 i"' 0,0090885 



— 2,4515834 ^ ^ o co-nooc 



' r.i ui(p = — 3,53/6326 



pars post. = -H 286,803 — 5,5079998 



parsprior = — 195,333 lq = 8,2278867 



aggreg. = -i- 91,470 —7,2801131 

 ergo erit -.<•(» du = — 19059570/1 min. sec. 



III 



