91 
a Au. Aue Stars 
12 + .009 + .04 8 
14 + .019 — 12 6 
16 + 0138 + .02 10 
18 + .001 + 28 8 
20 — .O16 — 14 10 
22 — 035 —  .00 9 
These values I have represented by formulae of the form: 
Au, = asina + y cosa 
Aus = @' sina + y'cos a 
attributing equal weight to each 2-hour group. [| found: 
ve = + 08.002 y = — 18,021 
e= + 0".028 = -y'= — 0".012, 
so that 
Lus (N. F. K.—Nrwcoms) = smoothed value + w stu u + yu cos ¢ 
Au; (N. F. K.—Newcoms) = smoothed value + a! sin « + 1 cos a. 
If, therefore, my results which hold good for the system of the 
N. F. K. of the Berliner Jahrbuch, are to be reduced to the system 
of Newcome’s catalogue, the above quantities must be added to the 
differences in « and d per 100 years, with reversed sign. 
These systematic corrections are therefore : 
es Dd Lei 1 
in 4e per 100 years: ah rs — 0".083 sin a + 0".314 cos a ae 5 
— 0 .06 Leiden 
+ 07.05 3 Lei 1 
0 . ; 
in Ad per 100 years: Een Ge — 0”.023 sin « + 0".OL2 cos a = ‘ 
\— 0.27 é ‘Leiden 
The addition of these corrections changes my values for the 
unknowns in the following way 
corr. Am per century — 0”045 
es FP » _— 0.03 
MEA), … _— 0.26 
IA 5 » +011 
eK (Decl.) , ve er AC 
An gn Me + 0.01 
The results then become: 
Am + 0"055 
An + 0.30 
