175 
Ч sin 50 х 12.92 sim 10 (50 х 12.9 + 0.5 pa) 
біп 19.9%» зт (50 x 12.9 n + 0.5 pz) 
. (25.8 
X sth E ,, № 
This sum is the analytical expression of the sums obtained 
if the ten groups, each arranged according to the number 25.8, 
are combined in such a way as to correspond with an arrange- 
ment according to a number: 
: ра. 
20.8 -- Z——. 
50 
Therefore by adopting different values оу, pa...... 0, S values 
are obtained corresponding with arrangements of the groups 
according to the numbers: ! 
ree 
95.8 + ——- 
50 п 
95.8-r #2. 
50 л 
etc. 
In practice for each of the sums of groups the constants of 
Besser’s formula are calculated in the usual way; to « the value: 
360° __ 4° 1558 
26 
0.5 X 
lo о the whole numbers from —4 to +6 have been assigned, 
these values having been chosen thus, because they correspond 
with an arrangement according to periods of about 25.76 — 25.86 
days. Thus for о — 0 the 10 formulae have been simply added , for 
Ре 1 Ше argument of the second formula has been augment- 
ed with 459’, that of the second formula with 8218, of the 
third with 12°28’, ete, and the ten formulae thus obtained 
again summed up. In this manner eleven amplitudes and eleven 
arguments С’ are obtained corresponding with the amplitudes 
and arguments of the formula (4). When the number of data 
taken into account is sufficient to eliminate disturbing influences, 
the differences between the arguments of two subsequent 
formulae ought therefore to be 4.5% = 18°42’, 
