THE INFLUENCE OF DISTURBING ACCELERATIONS 



135 



Here 



a ^ (p2 cos {pt +62) cos {pt + dx)- 



Taking into consideration that for the given case the phase difference 

 {S^ — d^) is close to 71, we find 



a ?« — I — + 9^2 1 cos (/)« + dx). 



2^^ g 



(P2 



2 



(34a) 



Introducing this expression into formula (33) we obtain 



More exactly 



n' + —^ — + -9.2+--C 



8 



4^%/^ 9?2_ 



g 



2\ n 



(35) 



^+fko^+n^ 



992 cos (^2- (5a;) + — 4o Hf^ + 





where (^2~''^a;) ^^ ^^^ phase difference of the forced oscillation of the 

 Cardan suspension and the disturbing acceleration. 



Let us examine a few examples: 



(a) the instrument is mounted on a short period Cardan suspension. 



9^2 



, C = 0, (Pi = 0, (po=^0, amax = 0, Ox = 20 gal 



(b) the instrument is mounted on a stabilized gyroscopic device ^vorking 

 with an accuracy of ±2'; 



993 = 2', Co = 0. 9^1 = 0» 9^0 = 0, 



flmax ^^,ax^ 20 gal 

 g 



Then for case (a) we have 



Zl^ = ^^105ngal 



and for case (b) 



Ag = 



g 



w 



2 g 



6 ngal 



