FROM ORDINARY DAYS OF THE ELEVEN YEARS 1890 TO 1900. 
253 
Taking, as an example, January in the case of H, the observed ranges in the 
Januarys of the 11 years were assumed to be given by a formula of type (l), S 
representing the mean sunspot frequency for each January in succession. The 
Table XXXIII.—Constants in Wole’s Formula F = a + 6S. 
Horizontal force. 
• 
Vertical foi 
ce. 
Mean difference 
Mean difference 
observed ~ 
observed ~ 
Month and 
calculated. 
calculated. 
Season. 
a. 
b. 
100 b/a. 
Abso¬ 
lute 
As per¬ 
centage 
of 
range. 
a. 
b. 
100 b/a. 
Abso¬ 
lute 
As per¬ 
centage 
of 
range. 
value. 
value. 
January. 
y 
11-12 
y 
0-1358 
1 • 22 
y 
2- 2 
12‘2 
7 
5-80 
y 
0-0666 
1-15 
7 
0-8 
13-6 
February .... 
12-13 
0-1495 
1-23 
1-5 
11-4 
9-43 
0-1060 
1-12 
1-8 
17-1 - 
March. 
18-31 
0-2674 
1-46 
2-4 
12-9 
19-26 
0-1169 
0-61 
2 - 2 
16-4 
April. 
26-83 
0-2946 
1-10 
3-0 
12-6 
25-45 
0-0693 
0-27 
1-9 
15-8 
May. 
30 • 38 
0-2232 
0-74 
3-8 
11-7 
27-74 
0-1438 
0-52 
1-6 
9-4 
June. 
32-29 
0-2561 
0-79 
3-0 
12-1 
25-12 
0-1213 
0-48 
1-4 
11-2 
July. 
32 • 43 
0-2450 
0-75 
4-3 
14-6 
24-56 
0-1461 
0-59 
1-9 
12-1 
August. 
32-35 
0-1825 
0-56 
4-2 
16-7 
23-28 
0-0487 
0-21 
2 * 2 
22-2 
September. . . . 
26-71 
0-1831 
0-69 
3-1 
16-4 
16-73 
0-1287 
0-77 
2-0 
16-2 
October . 
19-32 
0-2635 
1-36 
2-2 
11-2 
12-16 
0-1271 
1-05 
1-6 
12-6 
November. . . . 
12-05 
0-2195 
1 - 82 
2-3 
12-3 
8-63 
0-0942 
1-09 
1-5 
14-7 
December .... 
• 
9-67 
0-1079 
1-12 
2 • 2 
15-4 
4-99 
0-0712 
1-43 
1-2 
12-6 
From a.m.s. of 
a’s and b’s — 
Year. 
21-97 
0-2107 
0-96 
2-8 
13-3 
16-93 
0-1033 
0-61 
1-7 
14-5 
Winter. 
11-24 
0-1532 
1-36 
2-0 
12-8 
7-21 
0-0845 
1-17 
13 
14-5 
Equinox .... 
22-79 
0-2522 
1-11 
2-7 
13-3 
18-40 
0-1105 
0-60 
1-9 
15-2 
Summer .... 
31-86 
0-2267 
0-71 
3-8 
13-8 
25-18 
0-1150 
0-46 
1-8 
13-7 
From seasonal in- 
equalities—- 
Year. 
18-20 
0-2081 
1-14 
0-5 
3-3 
16-17 
0-1044 
0-65 
0-8 
8-5 
Winter. 
10-78 
0-1544 
1-43 
0-7 
6-1 
6-79 
0-0812 
1-20 
0-5 
6-9 
Equinox .... 
20-81 
0-2588 
1-24 
1-2 
6-6 
17-87 
0-1085 
0-61 
1-4 
15-1 
Summer .... 
30-95 
0-2417 
0-78 
1-5 
6-1 
24-58 
0-1198 
0-49 
1-3 
9-9 
appropriate values of a and b were then determined by least squares, and proved to 
be a = 11 12y, b = 0‘1358y. Inserting these values of a and b in the formula, and 
ascribing to S in succession the frequencies of the 11 Januarys, values were deduced 
for Pv,. The observed values of P in January fluctuated from 8'ly in 1899 to 25'8y in 
1892, i.e., they had a range of 17'7y. The sum of the eleven differences between 
observed and calculated values taken irrespective of sign was 23'7y, the mean difference 
2 M 2 
