TABLE 112. 

 FORCE OF GRAVITY FOR SEA LEVEL AND DIFFERENT LATITUDES. 



This table has been calculated from the formula ^, = ^45 [i .002662 cos2<],* where <t> is the latitude. 



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

 1891). 



The force of gravity for any latitude and elevation above sea level h is verv nearly expressed by the equation 



^ =*4 5 (i --002662 cos 2*) [i-2|(i-2l)], 



where R is the earth's radius, 5 the density of the surface strata, and A the mean density of the earth. When S~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 



f-4= 980-6 X-5| - ,225.75 ^ in dynes. 



4/C 4/t 



5*- 



h . 



386.062 X 1- = 482.562 in inch pound units. 

 4A /? 



_i / 



= 32.1719 X -^5= 40.2149^- in poundals. 



4/f K 



This gives per 100 feet elevation a correction of 



.00588 dynes ) 



.00232 inch pound units > diminution, 

 oooiq^ poundals ) 



SMITHSONIAN TABLES. IO2 



