Obtaining and Analysis of the Necessary Conditions of Stability of Orbital Gyrostat by Means of Computer Algebra

  • Andrei V. BanshchikovEmail author
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 11661)


With the help of software developed on the basis of the “Mathematica” computer algebra system, the dynamics of a satellite-gyrostat moving in a Newtonian central field of forces along the circular Keplerian orbit was investigated. The linearized equations of perturbed motion in the vicinity of the relative equilibrium of the system are constructed in the symbolic form on PC and the necessary conditions for its stability are obtained. The parametric analysis of the inequalities considers one of the cases when the vector of the gyrostatic moment of the system is in one of the planes formed by the principal central axes of inertia. The obtained stability regions have an analytical form or a graphical representation in the form of 2D images.


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Authors and Affiliations

  1. 1.Matrosov Institute for System Dynamics and Control Theory of Siberian Branch of Russian Academy of SciencesIrkutskRussia

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