The Stability of Certain Motion of a Charged Gyrostat in Newtonian Force Field | Zendy

A. A. Elmandouh | Zendy; Fatimah H. Alsaad | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Open Access

The Stability of Certain Motion of a Charged Gyrostat in Newtonian Force Field

Author(s) -

A. A. Elmandouh,

Fatimah H. Alsaad

Publication year - 2021

Publication title -

advances in astronomy

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.364

H-Index - 34

eISSN - 1687-7977

pISSN - 1687-7969

DOI - 10.1155/2021/6660028

Subject(s) - physics , casimir effect , classical mechanics , instability , equations of motion , newtonian fluid , stability (learning theory) , angular velocity , linear stability , work (physics) , field (mathematics) , motion (physics) , constant (computer programming) , lyapunov function , magnetic field , mechanics , nonlinear system , quantum mechanics , mathematics , machine learning , computer science , pure mathematics , programming language

This work aims to study the stability of certain motions of a rigid body rotating about its fixed point and carrying a rotor that rotates with constant angular velocity about an axis parallel to one of the principal axes. This motion is presumed to take place due to the combined influence of the magnetic field and the Newtonian force field. The equations of motion are deduced, and moreover, they are expressed as a Lie–Poisson Hamilton system. The permanent rotations are calculated and interpreted mechanically. The sufficient conditions for instability are presented employing the linear approximation method. The energy-Casimir method is applied to gain sufficient conditions for stability. The regions of linear stability and Lyapunov stability are illustrated graphically for certain values of the parameters.

The content you want is available to Zendy users.

Already have an account? Click here to sign in.

Having issues? You can contact us here

Accelerating Research