Tables 49-51 (continued) 219 



RELATION BETWEEN GEOPOTENTIAL AND GEOMETRIC HEIGHT 



results especially for high altitudes. These data are applicable in equation (4) for com- 

 puting * as a function of Z, and in equation (5) for computing Z as a function of <£, for 

 given latitudes. 

 Examples : 



1. Given: Station at latitude = 51° 10', elevation Z := 1384.4 meters. To find the 



geopotential <£. Refer to Table 49, and by interpolation obtain R = 6,360,942 



meters, and I &* ■ J = 6,368,529 gpm. Using these data in equation (4) we find 



<i> = 1385.7 gpm'. 



2. Given : A point at latitude <t> = 20° 30' has a geopotential # = 6400.0 gpm. To 



find Z, its geometric height. Refer to Table 49, and by interpolation we obtain 



# = 6,340,216 meters, and (-§?•) =6,331,593 gpm. Using these data in 

 equation (5), we find Zr= 6415.2 meters. 



Table 50 gives values of geopotential $ directly as a function of latitude 4> and geo- 

 metric height Z. 



Table 51 gives values of geometric height Z directly as a function of latitude <j> and 

 geopotential <£. 



Tables 50 and 51 were computed from equations (4) -(7), using values of g$ from 

 Table 167. Tabular values for arguments exceeding 200,000 gpm. or 200,000 m. are un- 

 certain by approximately one unit in the last figure. 



Table 49 



FACTORS FOR COMPUTING THE RELATION BETWEEN GEOPOTENTIAL 

 AND GEOMETRIC HEIGHT 



90 6377862 6398737 



SMITHSONIAN METEOROLOGICAL TABLES 



