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Theoria motvs corporvm coelestivm in sectionibvs conicis solem ambientivm
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DETERMINATIO ORBITAE E TRIBVS OBSERVATIONIBVS COMPLETIS. 171

Hinc fit P 1,1997804, P+a = i,55 4i5g6, P+d =0,1627248;

loge.8,3929518 n

lo g,P + a) .0,1914900

C.log(P + J).0,7885465 n

log ta ng co .9,5729881, v iide a = -f 15° i6'5i'8g, «+ <r =+ i3*4o' 5"oi

log @7.8,5477588

log C .2,6907847

Io gsino) . p,56i2i47

log Qc sin co .0,5997682

Aequationi Qc sin co sin x 2 * 4 = sin (zi5*4o'5 # 01) paucis tentaminibus factis satisfieriinuenitur per valorem 2 = 14° 55' 4" 90, vncle fit log sin z = 9,4o 10744 , log r'«= 0,525i54o. Aequatio illa praeter hanc solutionem tres alias admittit., puta

Z 02 228

z ~ 167 27 592 = 193 i 18

Tertiam reiicere oportet*, quod sin z negatiuus euadit; secundam, quod z maiorfit quam S '; prima respondet approximationi ad orbitam terrae, de qua in art. i42ioquuti sumus.

Porro habemus secundum art. i45

i?* sin S'

°s 6 .

log(P + «).

C. log sin (z cr)...

...0,6105578

log .

6 n

log P .

11 r

log ,1 .

71

Z-\-AD S'=zz-{- 199° 47' 1" 5i =z-{-A'D '' S'~ 2+188 5452,94 =

2 i4 s 22 , 6" 4i ; log sin = 9,7016756 /22052957,8!; log sin = 9,6000925 n

4dinc fit logp = 9,9270755 n , log p 0,0226409 /z, ac dein log q = 0,2900977 /2,log q = o,2680086 n , vnde prodit

£ = 2 o 5 ° 17' Si 22 log r 0,5600178£" = 210 10 58,88 log /"= 0,52128 19

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