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