Periods 
in years 
I2 SMITHSONIAN MISCELLANEOUS COLLECTIONS VOL. 134 
years; also 11.25 years multiplied by 2%, 21°, 2° yielding 184,320, 
368,640, and 737,280 years. 
Griinhagen publishes, along with Soergel’s smoothed curve of lati- 
tudes of penetration, another curve made up, as he states, from these 
six periods. The parallelism is striking. 
I could not interpret from Griinhagen’s paper how he obtained the 
phases, forms, and amplitudes in which he combined the six periods 
which he formed out of my 273-month solar period. I therefore read 
off 102 points of his smoothed Soergel curve. I computed from them 
the mean forms, phases, and amplitudes of the four shortest of 
Griinhagen’s six periods. The longer two were not repeated enough 
times to compute good mean values. However, as I have found all 
my solar periods to be exact submultiples of 22% years, I used for 
these four Griinhagen periods 74x (2"%, 24, 215) and 22%~x (23%, 
2'#, 215). This gives for my first three periods the same values as his 
first three, but for my last three 186.4, 372.7, and 745.5 in thousands 
of years, instead of the value which he based on 11.25 years. 
In the following table I give the mean latitudes computed from the 
smoothed Soergel curve to suit periods of 61.4, 122.9, 186.4, and 
TABLE 3.—Glacial periods synthesized 
61,400 122,900 186,400 245,800 Soergel 
smoot | 
Mean A Mean A ean A Mean 2A+56°8 curve 0.7DA+56°8 
S750)! Ore 55:9 —o°8 55°3 —1°3 68:7. 187 —022 56°6 59°4 —Oo° 
56.8 0.0 56.0 —o.7 55-4 —I1.2 59:0)" 2.0 0.1 56.9 59.3 oO. 
Ba Ti (Ong 56.2 —O.5 55.6 —1.0 5023). 2.3 A.I 57.9 59-4 O°. 
57.0. 10,2 56.2 —0.3 56.0 —o.6 60707, “3.0 2.3 Sg. 60.5 I. 
E70" iOn2 56.6 —o.I 56.4 —0.2 60.6 3.6 30/5 60.3 61.2 as 
56.8 0.0 56.7 0.0 Boaz | 0.5 Hows. 4.5 3.6 60.4 61.4 ae 
56.7 —o.1 56.7. 0.0 S71 0.5 6025.7) 35 3-9 60.7 61.3 ae 
56.7 —o.! B7.0 0.3 57-4 0.8 60.5 3-5 4-5 61.3 61.3 a 
56.7 —o.1 57.0; (0'<9 Rea Lod. (ep ase NS 6.3 63.1 61.8 4 
56.7 —o.1 57-9 mee 58.3 ad 61.5 4-5 7.3 64.1 62.1 a 
56.6 —o.2 Soca, SAS 58.4 1.8 62.1 Bre x 8.2 65.0 62.5 ae 
EG. 8: i070 58.2 1.5 EOL =~ 20 62.7. 5.7 9.2 66.0 63.0 6. 
top 0.2 58.2 Te7 59.0 2.4 62.7 ° 5.7 10.0 66.8 63.6 Wis 
0.0 50.04 ekr.4 So.g ) 2a7 6250) 5.0 9.1 65.9 63.3 6 
0.3 58.1 0.8 59.4.% 269 Grit aun 8.0 64.8 62.7 Bie 
0.2 57.5 1.0 59.1 2.5 60.7 Brat 7-4 64.2 61.6 5. 
‘Orn 57.4 © 0.7 Bee 2a PE 5.8 62.6 60.8 4 
0.0 56.9) “O.2 Sova | (1.6 59.0 2.0 3-8 60.6 60.0 ais 
—o.1 56.7. 0.0 5725 (O89 58.2 Tez 2.0 58.8 59.0 ee 
—o.1 56.5 —0.2 $7.4 078 Ay pe dae ARS 1.3.6.5 58.6 fo) 
.- 0.1 56.0 —o.7 S703 0.7 57.0% 0.0, =0.1 56.7 57.4 —0o. 
-—O.1 55.7 —I.0 47 A ails Dy f 56.0 —1I.0 —I.4 55.4 56.8 —t1 
- —0.2 55.1 —1.6 5a TO. 0 54.9 —2.I1 —3.3 53.5 55-4 —2 
: 0.0 54.7 —2.0 57.0 0.4 53.8 —3.2 —4.8 52.0 54.6 —3 
0.2 54-3 —2.4 56.1 —0.5 52.9 —4.1 —6.8 50.0 53-2 —4 
0.0 bene OF 55.6 —1.0 52.7 —4.3 —6.0 50.8 52.7 —4 
0.3 lasis O68 55.6 —1.0 52.8 —4.2 —5.4 51.4 52.7 —3 
0.2 —0.3 55.6 —1.0 2.8 —4.2 —5.3 51.5 52.7 —3 
0.2 —o.1 55.6 —1.0 2.8 —4.2 —5.1 51.7 52.7, ——8 
0.0 0.0 55-3 —I1.7 52.8 —4.2 —5.9 50.9 52.7 —4 
- —O.1 0.0 54.8 —1.6 52.8 —4.2 —5.7 51.1 52.6 —4 
.-—0O.1 0.3 54-7 —I.9 52.9 —4.1 —5.8 51.0 52.6 —4 
-—0.1 0.9 54.5 —2.1 53-2 —3.8 —5.1 51.7 52.5 —3 
. —O.1 1.2 54.6 —2.0 53-1 —3.9 —4.8 52.0 52.5 —3 
- —0.2 ri5 55.0 —1.6 53.9 —3.1 3,453.4 52.6 —2 
5 0.0 1.5 55-4 —I.2 54.0 —3.0 —2.7 54.1 53.0 —I 
0.1 “scp 55.6 —1.0 54-1 —2.9' 2.1 54.7 53.2 —I 
ORR AHOHK AN OD OAWOHORUHHAROCRUHA HUA OOM 
— BORR HN OND 
