THE INFLUENCE OF DISTURBING ACCELERATIONS 133 



THE CENTRIFUGAL ACCELERATION 



In accordance with (18) and (20) the centrifugal acceleration component is 



+ 992^ sin {pt + d^)^ «:; - :o I y (f'l^n^^ + ^ 993^^ ) > (28) 



consequently the centrifugal acceleration introduces a systematic error. 



Thus, for the full component of acceleration in the direction of the axis 

 one can -wTite an approximate equation 



^-h^'-h''^ 



+ Oz COS {pt+ (5z) + 



2 

 O-x* <2. max 



"^4^2 



+ ^09^2?^ COS {pt + d^) - Co X 

 xfl^'x^nx^ + I^.^VI- (29) 



The equation for the motion of the gravimeter pendulum can he written 

 down (taking into consideration that lip, the moment of inertia, is small 

 by comparison Avith the remaining terms making up the equation) in the 

 form : 



/0i" + 2h&^' + KO^ = jnC'l. (30) 



Let us divide by /. Taldng into consideration the notations in formulas (1) 

 and (2) we obtain 



^ ,, ^ ^ . o^ ml ^ ml 

 0i" + 2e0i'+^2(9___^____^ + 



ml [ax^ 1 1 2 1 2 



+ -r\-ir:-ir « max g- tt ng- t ng- 



ml ia^ _ 1^ 2 

 / \4^ ^'^ 



- Co f 2" n^ ^x + 2" ^'^P^ ) + ^2 cos {pt + (3z) + 



+ ^0 ^iP^ cos {pt + ^2)[' (31) 



Equation 31 contains two periodic terms on the right hand. Let us estimate 

 the value of the second of these terms. 



