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Browse Journals & Magazines > Aerospace and Navigational El ...> Volume:ANE-9 Issue:4 Help

An Application of Vector Angles to Gyroscope Analysis

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1 Author(s)
Waters, David C. ; Minuteman System Management Division, Autonetics, Downey, Calif.

Euler's dynamic equation is derived in vector-dyadic form for a three-degree-of-freedom gyro configuration. This equation is then simplified by means of two approximations which are compatible with practical gyro design. As angular displacements of the gyro gimbals are assumed to be small, such displacements are represented by vector angles. Spring torques, and torques due to viscous damping are formulated and added to the simplified dynamic equation. The over-all formulation is expressed in the form of a single second-order, linear differential equation of motion.

Published in:
Aerospace and Navigational Electronics, IRE Transactions on  (Volume:ANE-9 ,  Issue: 4 )

Date of Publication: Dec. 1962

Page(s):
235 - 240
ISSN :
0096-1647
Digital Object Identifier :
10.1109/TANE3.1962.4201894
Product Type:
Journals & Magazines
Date of Current Version :
15 May 2009
Issue Date :
Dec. 1962

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