Application of the theory of singularly perturbed equations to investigations of gyroscopic systems
Abstract
Construction of an asymptotic solution for a system of singularly perturbed equations of specified form is attempted, and the procedure is recommended for a complete description of the motion of gyroscopic systems over a finite time interval. Equations describing systematic drifts are treated as perturbed equations in variations for the precessional equations, and a quadrature solution is possible if the general solution of the precessional equations is known.
 Publication:

Akademiia Nauk SSSR Doklady
 Pub Date:
 September 1976
 Bibcode:
 1976DoSSR.230...52K
 Keywords:

 Asymptotic Methods;
 Gyroscopes;
 Perturbation Theory;
 Differential Equations;
 Drift (Instrumentation);
 Precession;
 Vector Analysis;
 Instrumentation and Photography