The equilibria of the translational-rotational motion of two gyrostats in a Newtonian central field of forces

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Equilibrium Equations, Newton Theory, Rotary Gyroscopes, Translational Motion, Two Body Problem, Artificial Satellites, Equations Of Motion, Three Body Problem

Scientific paper

A system consisting of two gyrostats moving in the field of a massive attracting body is considered theoretically to determine the equilibrium positions of the translational-rotational motion. The equilibria are determined and grouped in collinear and equilateral equilibria relative to the attracting body's Newtonian field of forces. The Routh-Hurwitz criterion is used to determine the stability of all equilibrium configurations.

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