Full text: [Theoretischer astronomischer Nachlass] (7. Band)

232 
THEORIA MOTUS CORPORUM COELESTIUM. LIBER II. SECTIO II. 
Hinc deducimus 
Y' = 168° 32' 41','34 
Y" = 173 5 15,68 
loga' = 9,952 6104 
loga" = 9,999 4839, 
x' = — 1,083 306, 
x" = -f-6,322 006, 
A'D = 37° 17' 51"50, 
B'B = — 25 5 13,38, 
3'= 62° 23' 4','88 
3" = 100 4 5 1,40 
b' = — 11,009 449 
h" = — 2,082 036 
0,072 8800, logg' = 9,71 3 9702« 
0,079 8512*, logg" = 9,838 7061 
= 89° 24' 1 J"84, e = 9° 5' 5','48 
11 20 49,56. 
logX = 
logX'" = 
A" D 
B"D = 
His calculis praeliminaribus absolutis, hypo thesin primam aggredimur. E 
temporum intervallis elicimus 
Iog&(i' —t)= 9,915 3666 
log&(/" — f) = 9,976 5359 
logk (t'"— t") — 0,005 4651 
atque hinc valores primos approximatos 
logP' = 0,06117, log(14-P) = 0,33269, log Q' = 9,59087 
log P" = 9,97107, log(1 +P") = 0,28681, log Q" = 9,68097, 
hinc porro 
c' = — 7,68361, log^' = 0,04666« 
c" = +2,20771, logii" = 0,12552. 
Hisce valoribus, paucis tentaminibus factis, solutio sequens aequationum I, II 
elicitur: 
x' = 2,04856, 
e 
z = 23° 38' 1 7", 
log r' = 
0,34951 
x' = 1,95745, 
z = 27 2 0, 
logr" = 
0,34194 
Ex z\ z" atque £ eruimus C'C" = v"—v' — 17° 7'5": hinc v'—v, r, v"'—v", r" 
per aequationes sequentes determinandae erunt: 
logr sin (p' —v) = 9,74962, 
log r"'sin (v"'—v") = 9,84 729, 
log v sin {v' — v 4 17° 7'5") = 0,07500 
log/-'"sin 4'"— v"4- 17° 7'5") = 0,107 33, 
unde eruimus
	        
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