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Journal of Applied and Industrial Mathematics

Erschienen in:

01.05.2020

Symbolic-Numerical Analysis of the Necessary Stability Conditions for the Relative Equilibria of an Orbital Gyrostat

verfasst von: A. V. Banshchikov

Erschienen in: Journal of Applied and Industrial Mathematics | Ausgabe 2/2020

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Abstract

Using the software developed on the basis of the computer algebra system Mathematica, we study the rotational motion along the circular orbit of a satellite-gyrostat in a Newtonian central field of forces. The linearized equations of a perturbed motion in the vicinity of the relative equilibrium of the system are constructed on a computer in symbolic form, and the necessary stability conditions are obtained for the equilibrium. Implementing the parametric analysis of the derived inequalities, we consider one of the cases when the vector of the gyrostatic moment of the system lies 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 as 2D images.

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Titel: Symbolic-Numerical Analysis of the Necessary Stability Conditions for the Relative Equilibria of an Orbital Gyrostat
verfasst von: A. V. Banshchikov
Publikationsdatum: 01.05.2020
Verlag: Pleiades Publishing
Erschienen in: Journal of Applied and Industrial Mathematics / Ausgabe 2/2020
Print ISSN: 1990-4789
Elektronische ISSN: 1990-4797
DOI: https://doi.org/10.1134/S1990478920020015

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