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Electromagnetic Gyroscopic Motion

Author

Listed:
  • A. I. Ismail
  • T. S. Amer
  • S. A. El Banna
  • M. A. El-Ameen

Abstract

A problem of the gyroscopic motions around a fixed point, under the action of a gyrostatic moment vector, in presence of electromagnetic field and Newtonian one, is considered. The small parameter technique is used to investigate the periodic solutions for the derived equations of such motion problem. A geometric interpretation of motion will be given in terms of Euler’s angles ( ). Computer programs are carried out to integrate the attained quasilinear autonomous system using a fourth-order Runge-Kutta method. A comparison between the obtained analytical solutions and the numerical ones is investigated to calculate the errors between them.

Suggested Citation

  • A. I. Ismail & T. S. Amer & S. A. El Banna & M. A. El-Ameen, 2012. "Electromagnetic Gyroscopic Motion," Journal of Applied Mathematics, Hindawi, vol. 2012, pages 1-14, December.
    • Handle: RePEc:hin:jnljam:812645
    DOI: 10.1155/2012/812645
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    Cited by:

    1. Amer, T.S. & El-Sabaa, F.M. & Sallam, A.A. & Abady, I.M., 2023. "Studying the vibrational motion of a rotating symmetrically charged solid body subjected to external forces and moments," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 210(C), pages 120-146.

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