DETERMINATIO ORBITAE E QYATVOR OBSERVATIONIS V 8.

<201

tandemque demta praecessione ad initium anni 1807 reducta sunt, dein e locis Solisad normam praeceptorum art. 72 deriuata sunt loca terrae ficta (vt paraliaxis ratiohabeatur), longitudinesque demta nutatione et praecessione ad eandem epocham trans-latae ; tandem tempora ab initio anni numerata et ad meridianum Parisinuin redu-cta. Hoc modo orti sunt numeri sequentes :

it, t\ t\ t"'

8 9 ,5o5162

i57,5445o2

192,4i 9002

261,288102

_ / « /2/cc , a, « , «

178° 43'58* 87

/ 0 t n 0

I74 1 OO Ot)

187 4o 42 20

>-rO r-r ■■ f r- n r* re*

2 1 0 01 10 00

^

12 27 6, 16

10 8 7,80

6 47 2 5, 51

4 20 21,60

/, / 7 , r, r

189 21 33, 71

255 56 o,63

288 55 20, 52

545 9 18,69

loggi?, X, R\ x

9,9997990

0,0051376

0,0071739

0,0000625

Hinc deducimus

y = 168° 32' 4 i" 34 , S'— 62° 25' i” 88, Iog d~ 9,9026104y ~ 173 5 i5, 68 , S“ = 100 45 i, 4 o, log a — 9,9994809V — —11,009449, x — —1,080006, log^ =0,0728800, log a' = 9,7109702 nb" =— 2,082006, X = + 6,022006, log/'=0,0798012 n, log jbb — 9,8087061A’D~ 67° 17'01" 5 o, A"D = 89° 21' ix" 84 , e = 9° 5 ' 5 " 48

B'D =—25 5 i3,58, B"D = — 11 20 4 9 , 56

His calculis praeliminaribus absolutis, hypothesin primam aggredimur. E tem-porum interuallis elicimus

log k (t '— t) = 9,9153666lo g £(/—/) = 9,9765309log k ( t *— t") = o,oo54651atque hinc valores primos approximatos

log P'— 0,06117, log(i+P') = 0,30269, IogQ' = 9 ,69087logP"= 9,97107, log(i+P") = 0,28681, logQ"= 9,68097hinc porro

c' =— 7,68661, log d = 0,0 4666 nc"= + 2,20771, log cf = o,i2552

Hisce valoribus, paucis tentaminibus factis, solutio sequens aequationum I, II eli-citur :

/ = 2,oi856, z = 23° 58 / 17 ", log / = o,34g5ix"= 1,95745, 2" = 27 2 o, log 7-" = o,34ig4Ex 2', 2' atque e eruimus C'C"—p” — v = 17° 7' 5": hinc e' — e,per aequationes sequentes determinandae erunt:

26