62 0. E. SCHIOTZ. [NORW. POL. EXP. 
The mean period of oscillation for the two pendulums in a latitude of 84° 
should thus be. 
according to the observations of April 29, 0:5057377 
— ae — ~ » 30, 05057365 
If the acceleration is calculated from this, we obtain 
Mean 0°5057371 
Acceleration 
N. Lat. | E. Long. | Difference 
g observed |», calculated 
s4° 12° 18 
86° 65° 25° 
The above values for the acceleration in 84 and 86° latitude may be 
regarded as the main result of the pendulum observations of the Fram expe- 
dition, and these values are to be regarded as normal. From these obser- 
vations, by combination, the value for the acceleration in a latitude of 85° may be 
deduced; for if we put 
g=k (i+ bsin?¢), we obtain g, —g. =k bsin(p, — gq) sin(p, + go), 
and hence 
ss — Js, =k 6 sin 2°sin 10°, and g,, — g,,= 6 sin 1°sin 11°. 
By eliminating kb, these give 
Jeso = 983147 m.., 
a value which thus contains the combined results of the observations of the 
expedition. 
As I have already shown, my observations with the apparatus of the 
Norwegian “Gradmaalings Kommission” at the coast-stations in northern and 
southern Norway lead to the result that 
in 70° 15’ N. Lat., we have g = 9°82640 m. 
2 oo 1S No tat 5 6. (SSIS mm. 
if we start with Von Oppolzer’s value in Vienna? 
As these values refer to coast-stations, they are presumably somewhat 
higher than the normal values for the same latitudes. We will assume that 
they are « mm. too great, and combine them with the above value found 
1 Cf O. E. Scmorz “Resultate der im Sommer 1894 in dem siidlichsten Theile Nor- 
wegens ausgefithrten Pendelbeobachtungen” (Kristiania, J. Dybwad, 1895), p. 18, where 
these values are given respectively as g = 9826413 m. and 9818810 m. The difference 
is accounted for in the reasons given in the note on page 53. 
