Berechnung der Gangformela für Marine-Chronometer.
305
Ausgleichung III. 4-12,0
[ab]
0,0
[ac]
4-31,0
[ad]
4-932,5
[ae]
4-25,0
[bb]
4-14300,0
[bc|
-4,0
[bd]
4-28,5
[be]
4-815,0
[cc]
4-93246
[cd]
4-7006,27
[cc]
—765,6
[dd]
4-140419,37
[de]
4-584,1
[ee]
4-1507,0
Auflösung der Norraalgleichuiigen.
Ausgleichung I.
[bill] =. (0,000000 ) [bn]
[eng] — (0,446721 )[bn] 4- (0,000000 )[cn]
tdngj — (7,544278n) [b »] 4- (0,731874a) [en] 4- (0,000000) [dn]
x — (7,481550a) [eng] 4 (7,169565a) [<lng]
y = (5,844664)[bin] 4- (3,510093 ) [eng] 4- (2,909192«) [dn 3 ]
z = (7,069369 ) [e 112] 4- (6,096788n) [dns]
t. — (5,364914 ) [<1 n:i]
[w] = [nn] 4-(5,844664») [bni]ä + (7,069369«) [cng] 2 4- (5,364914n)[dr.;,p
es. [» n]'— £b n] y — [c a] z — [du] t (Kontrolle)
Ausgleichung IL
[hm] 1
V siehe Ausgleichung I.
[cns] )
[ens] = (3,75374ln) [tut] 4- (9,983423) [c d] 4- (0.000000) [eu]
x — (7481550h) [eng] 4-(7,884234») [ens]
y = (5,844664) [bn,] 4- (3,516093 )£«»*] + (5,975339h) [en 3 ]
z —* (7,069369 ) [cns-] 4- (7,210021 ) [enj]
u = (7,221598 ) [en3]
[w] = [nn] 4- (5,844664») [hm] 2 4- (7,069369h) [cos] 2 4- (7,221598h) [«ns] 2
= [nn] — [bn] y — [en] z—[eu] u (Kontrolle)
Ausgleichung III.
[ent] = (8,751801h)[bn] 4- (0,134530) [en] 4- (8,858533h) [da] 4- (0,000000) [en]
x « xo 4- (5,189352 ) [en.,]
y = yo4-(6,177351n) [en,]
z = zo 4~ (7,560080 ) [ein]
t — to 4- (6,284083a} [en,j]
u = (7,425550 ) [ent]
Die Werthe xo, yo, zo, U) und [wo] sind gleich den
Glotsen x, y, z, t und [v v] in Ausgleichung I.
[v v] — [V vo] 4- (7,425550n) [en,] 2
-- [an] — [bn] y — [ca] z — [da] t — [en] u (Kontrolle)
Durch Einsetzung der für jedes Chronometer einzeln zu berechnenden
Werthe [bn], [cn], [dnj und [en] ergeben sich dann für die drei Ausgleichungen
die folgenden Gangformeln sowie die mittleren Fehler der einzelnen Kocfficienten.