HYPOTHESES BEARING ON CLIMATIC CHANGES 659 
depends not only upon the amount of the material embraced in 
the body, but on its distribution and other conditions. The 
parabolic velocity declines with height, as shown in the follow- 
ing table prepared for me by Mr. F.. R. Moulton." 
IG 
TABLE OF THE EARTH’S PARABOLIC VELOCITIES (V,’ ) 
FOR VARIOUS HEIGHTS ABOVE ITS CENTER (X) THE EFFECTS OF 
ROTATION BEING NEGLECTED.* 
When ~ (height above center) =o Vy’ =-+ 
When 
When 
When 
When - 
When - 
When 
When 
When 
When 
When 
When 
When 
When 
Wain. oe = 
When - 
When - 
When - 
*p'— 
2 V 
8 
2oe— 107422 ft —m19-004 meters. 
x 
x 
aX 
Sy I Ay SN) Gn tS GEO AP oR 
== + (earth’s radius) Vy’ = 11181.3 meters 
yee a> Meters Vea T0072. hae. 
= § < ice & ue — OG 32. 
S510) Bie V5, ==" QA12.2 ° “ 
== (10! Vy' = 8914.1 * 
ee eet S lee 
= iil X ee Vy = 7546.6 * 
== 17 3 1OL Vy’ = 6848.4 a 
Orato. | O31 3.0) ei 
= 25 5 ne? SOAs 8 
= ROR eLOo a‘ Vie esas Sh a 
= © < 10" Vy’ = 4464.6 ob 
==(ele) Sine Lem OAIE ES yf 
== 6% ie 2823.7" ot 
== 15 X< 10” V5 == 2305.5 
5 Se LO ae Ve 2O2. 8, © 
Die KOS I Fae 5047) 
7—=06,37'7,377, meters. 
Log. 2g = 1.2923447. 
Log. r? = 13.6092842. 
Log. V 2g r? =7.4508144. 
The parabolic velocity is also reduced by the centrifugal com- 
The effect of this is shown in the following 
ponent of rotation. 
tables computed by Mr. Moulton: 
t Assistant in Astronomy at the University of Chicago. 
