About inertial system of oscillator type

V.Ph.Zhuravlev

Institute of Mechanics Problems, RAS

101, r.1, av. Vernadsky, Moscow, 119526, Russia

The problem of inertial navigation is to determine a movement of the reference frame in which the behavior of a known mechanical system is observed.

One of the ways to solve such a problem is to assume that both the projections of the moving frame angular velocity on their axes and the projections of the apparent acceleration onto the same axes are known. After that, the angular orientation of the moving axes is solved by integrating a Poisson equation, while the velocity and position of the center of the moving frame are determined by integrating acceleration after projecting it on inertial axes. There are usually three gyroscopes and three accelerometers used to solve this problem.

This article demonstrates the way to obtain comprehensive information on the movement of the moving frame by observing oscillations of the isotropic 3D oscillator without using gyroscopes and integrating a Poisson equation.

The practical implementation of such a gyro can, for example, use six з-shaped elastic rods ensuring a spatially isotropic elastic suspension. The practical implementation can also use a homogeneous ball in an electromagnetic suspension.

Unlike vibration gyro, the instrument considered above is not balanced: the vibrating oscillator loads the base with elastic reaction forces. This problem can obviously by solved by purely design methods: one can combine two antiphase oscillations of this type.