62 



O. E. SCHI0TZ. 



[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 ) 



} Mean 0'5057371 

 30, 0-5057365 / 



If the acceleration is calculated from this, we obtain 



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 (1 -(- b sin 2 q>), we obtain g\ g^=kb sin^j <p 2 ) sin^ -f- gp 2 ), 

 and hence 



9se ~ #84 = * & sm 2 sin 10, and g K g^ = k b sin lsin 11. 

 By eliminating k b, these give 



g^ = 9-83147 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. 

 59 15' N. Lat, g = 9-81878 m., 

 if we start with Von Oppolzer's value in Vienna 1 . 



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 a mm. too great, and combine them with the above value found 



1 Cf. O. E. Scm0Tz "Resultate der im Sommer 1894 in dem siidlichsten Theile Nor- 

 wegens ausgefuhrten Pendelbeobachtungen" (Kristiania, J. Dybwad, 1895), p. 13, where 

 these values are given respectively as g = 9'826413 m. and 9'818810 m. The difference 

 is accounted for in the reasons given in the note on page 53. 



