The Theoretical Basis of the Possible Application of a Kovalevsky Gyroscope as Three-Component Angular-Velocity Meter

• Published in: Doklady. a journal of the Russian Academy of Sciences. Physics Vol. 63; no. 4; pp. 165 - 168
• Main Author: Plotnikov, P. K.
• Format: Journal Article
• Language: English
• Published: Moscow Pleiades Publishing 01-04-2018; Springer Nature B.V
• Subjects: Algorithms; Angular velocity; Classical Mechanics; Filtration; Mathematical analysis; Mathematical and Computational Physics; Mechanics; Physics; Physics and Astronomy; Theoretical
• ISSN: 1028-3358; 1562-6903
• DOI: 10.1134/S1028335818040043

Two schemes of the three-component angular-velocity meter based on the Kovalevsky gyroscope are described: on the electrostatic and mechanical spring suspensions. The gyroscopic degrees of freedom are restricted on the observation coordinates, and there is a rapid rotation around its principal axis. A mathematical model of the device motion along three translational coordinates and two angular coordinates is presented. The formulas for determining the two components of the mobile-object angular velocities lying in the equatorial plane are derived by using the signals in the channels of the radial interaxial correction as well as the algorithm of calculation with the help of an onboard controller of the angular-velocity component of rotation around the object axis, which practically coincides with the principal one. The algorithm includes the coordinates of the relative translational equatorial motions of the rotor and their first and second time derivatives. The algorithms of their determination with the interference filtering based on the Leuenberger observing identification device are given.