Table 1 12. 

 FORCE OF GRAVITY FOR SEA LEVEL AND DIFFERENT LATITUDES. 



This table has been calculated from the formula ^a =^^4.-; [i — .002662 cos 2(#)],* where <j> is the latitude. 



* The constant .002662 is based on data given by Harkness (Solar Parallax and Related Constants, Washington, 



1 he force of gravity for any latitude <(> and elevation above sea level A is very nparly expressed by the equation 



^.J. =.f45(i -•002662 cos 2<^) ['-^'(■-4)]' 



where H is the earth's radius, S the density of the surface strata, and A the mean density of the earth. When 5 = o 



we get the formula for elevation in air. For ordinary elevations on land - is nearly J, which gives for the correction 



at latitude 45^ for elevated portions of the earth's surface 



^«-^ = 980.6 X-i^ =r 1225.75 -- in dynes. 

 4-" 4" A 



:= 386.062 X -i- = 482.562 -= in inch pound units. 



:= 32. 1 7 19 x-^ = 40.2149— in poundals. 

 This gives per 100 feet elevation a correction of 



Smithsonian Tables. 



.00588 dynes 



.00232 inch pound units J diminution. 



.000193 poundals 



102 



3> dir 



