On Stabilization of an Unbalanced Lagrange Gyrostat

Dmitriy Chebanov (), Natalia Mosina () and Jose Salas ()
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Dmitriy Chebanov: City University of New York – LaGCC
Natalia Mosina: City University of New York – LaGCC
Jose Salas: City University of New York – LaGCC

A chapter in Mathematical and Computational Approaches in Advancing Modern Science and Engineering, 2016, pp 59-69 from Springer

Abstract: Abstract In this contribution we consider a chain of two coupled Lagrange gyrostats moving about a fixed point in a non-homogeneous gravitational field and show the existence of the following stabilization effect: for a gyrostat that is in its unstable equilibrium position, there is another gyrostat such that, when the two of them are coupled to form this chain, the rotation of the latter gyrostat can be used to stabilize the equilibrium of the former one. We establish and analyze stabilization conditions in the space of mechanical parameters characterizing the chain.

Keywords: Gyrostat; Unstable Equilibrium Position; Analyze Stabilization Conditions; Permanent Rotation; Dynamic Symmetry Axis (search for similar items in EconPapers)
Date: 2016
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-319-30379-6_6

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DOI: 10.1007/978-3-319-30379-6_6

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