ANALYTICAL DETERMINATION OF TIME-DEPENDENT FUNCTIONS OF DRIFTS OF A TRIAXIAL GYROSTABILIZER

Authors
Citation
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
Citations number
2
Categorie Soggetti
Mathematics,Mathematics,Mechanics
ISSN journal
00218928
Volume
56
Issue
6
Year of publication
1992
Pages
955 - 957
Database
ISI
SICI code
0021-8928(1992)56:6<955:ADOTFO>2.0.ZU;2-0
Abstract
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.