1915- No. 5- ROALD Amundsen's ANTARCTIC expedition: METEOROLOGY. 55 



q being the specific gravity of mecury, 



d » the weight of one cubic metre of air at o°C and 760 mm. 



b » the pressure of the air in mm. mercury, 



^45 » the normal gravity, 



g » the local gravity. 



At Framheim, lat. 78° 38', ^ = 9.830 m/sec.^. 



Towards the Pole the gravity at sea-level increases to 9.832. But 

 with rising ground it diminishes, so that at the Pole, at an altitude of 

 2454 m., it is reduced to 9.825. Practically we may take ^ constant 

 equal to 9.8275 in our calculation. We have then, with g^:, = 9.8062, 



-- = 0.9978, <7 = 13-5956 and (/ ^ 1.29305, 

 «s 



d/i = — 29.206 (273 + i) • do (i) 



Ô 



The integral of this equation is 



/S/i = 29.206 (272 -h /) log nat f / ] = 67.25 (273 -h I) log br. ( ~ 



\oiiJ \bu 



t is the mean of the temperatures at the higher and lower stations C, 

 b 11 the pressure at the higher stations, bj at the lower, in mm. 

 The computation of the steps between two consecutive stations has 

 been made from the formula 



/\li,n = 29.206 (273 + /) ^ l\b,„,n (3) 



l\li Difference of height in metres 



/ Mean of temperature of air at the two stations 

 b Mean of pressure of air » » » 



l\b Difference of pressure of air » » » 



The highest steps bi — bu is 98.7 mm. 



Computed from formula (2) Difference of height — 1343 ni. 

 » » » (3) » » » 1340 ni. 



The difference of 3 metres is a negligible quantity. 



The humidity of the air has not been observed. It is, to judge from 

 the observations at Framheim, too small to be of any importance in the 

 computation of the heights. 



The accuracy wich I have obtained for the height of the stations may 

 be seen from the following Table which shows, for the stations where 

 observations have been made both on the journey to and the journey from 



