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

Авторы: Banshchikov A.V.

Журнал: Journal of Applied and Industrial Mathematics

Том: 14

Номер: 2

Год: 2020

Отчётный год: 2020

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Аннотация: 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 Newtoniancentral field of forces. The linearized equations of a perturbed motion in the vicinity of the relativeequilibrium of the system are constructed on a computer in symbolic form, and the necessarystability conditions are obtained for the equilibrium. Implementing the parametric analysis of thederived inequalities, we consider one of the cases when the vector of the gyrostatic moment of thesystem lies in one of the planes formed by the principal central axes of inertia. The obtainedstability regions have an analytical form or a graphical representation as 2D images.

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