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A new noncommutative kinematic effect and its manifestations in strapdown inertial orientation systems based on fiber optic gyros

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Abstract

A brief survey of the developments in fiber optic gyros for space applications is given. The results of studies of strapdown inertial orientation systems (SIOS) based on triaxial fiber optic gyro are presented. A method for analytical estimation of strapdown inertial orientation system accuracy is given. A variant of a triaxial fiber optic gyro (FOG) with one common emitter is considered. The specific feature of such triaxial FOG is as follows: whereas in the noise correlation matrix of the triaxial fiber optic gyro with three autonomous single-axis FOG, only three diagonal elements are nonzero, in the case of the triaxial FOG with one common emitter, all nine elements in the noise correlation matrix are nonzero. The difference in noise correlations in three measurement channels of the triaxial FOG may result in a considerable (by orders of magnitude) difference in the precision of SIOS. This new noncommutative kinematic effect that was not noticed earlier in gyroscopy and navigation is analyzed using the SIOS based on fiber optic gyros [1].

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  1. Federal State Unitary Enterprise Center for Ground-Based Space Infrastructure, Kuznetsov Scientific Research Institute of Applied Mechanics, Moscow, Russia

    N. I. Krobka

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Original Russian Text © N.I. Krobka, 2009, published in Giroskopiya i Navigatsiya, 2009, No. 1, pp. 36–51.

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Krobka, N.I. A new noncommutative kinematic effect and its manifestations in strapdown inertial orientation systems based on fiber optic gyros. Gyroscopy Navig. 1, 26–36 (2010). https://doi.org/10.1134/S2075108710010050

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