Sv. Sokolov, ANALYTICAL DETERMINATION OF TIME-DEPENDENT FUNCTIONS OF DRIFTS OF A TRIAXIAL GYROSTABILIZER, Journal of applied mathematics and mechanics, 56(6), 1992, pp. 955-957
Equations which describe the time-dependence of the vector of the inst
antaneous velocity of rotation of a triaxial gyrostabilizer (TGS) plat
form located on Earth, with respect to the gyroscopical system of coor
dinates, are obtained within the framework of the precession theory at
an arbitrary polynomial dependence of the rate of the drift on overlo
ads. Based on the properties of the TGS and the details of its use we
discuss the approximation of these equations from which the analytical
time-dependent function of the drift rate of a gyrostabilized platfor
m is found. The results obtained significantly simplify the procedure
of solving the problems of identification of the TGS's parameters and
estimating its current orientation relative to the specified system of
coordinates in inertial navigation systems.