Electromagnetic Gyroscopic Motion
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 probl...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2012-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2012/812645 |
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| _version_ | 1832556343113809920 |
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| author | A. I. Ismail T. S. Amer S. A. El Banna M. A. El-Ameen |
| author_facet | A. I. Ismail T. S. Amer S. A. El Banna M. A. El-Ameen |
| author_sort | A. I. Ismail |
| collection | DOAJ |
| description | 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 (θ,ψ,ϕ). 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. |
| format | Article |
| id | doaj-art-805c188965404a85937d4419890842e5 |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-805c188965404a85937d4419890842e52025-02-03T05:45:42ZengWileyJournal of Applied Mathematics1110-757X1687-00422012-01-01201210.1155/2012/812645812645Electromagnetic Gyroscopic MotionA. I. Ismail0T. S. Amer1S. A. El Banna2M. A. El-Ameen3Mathematics Department, Preparatory Year Deanship, Umm Al-Qura University, P.O. Box 5555, Makkah 21955, Saudi ArabiaFaculty of Science, Tanta University, P.O. Box 31527, Tanta, EgyptElectricity Department, Faculty of Engineering, Umm Al-Qura University, P.O. Box 5555, Makkah 21955, Saudi ArabiaMathematics Department, Preparatory Year Deanship, Umm Al-Qura University, P.O. Box 5555, Makkah 21955, Saudi ArabiaA 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 (θ,ψ,ϕ). 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.http://dx.doi.org/10.1155/2012/812645 |
| spellingShingle | A. I. Ismail T. S. Amer S. A. El Banna M. A. El-Ameen Electromagnetic Gyroscopic Motion Journal of Applied Mathematics |
| title | Electromagnetic Gyroscopic Motion |
| title_full | Electromagnetic Gyroscopic Motion |
| title_fullStr | Electromagnetic Gyroscopic Motion |
| title_full_unstemmed | Electromagnetic Gyroscopic Motion |
| title_short | Electromagnetic Gyroscopic Motion |
| title_sort | electromagnetic gyroscopic motion |
| url | http://dx.doi.org/10.1155/2012/812645 |
| work_keys_str_mv | AT aiismail electromagneticgyroscopicmotion AT tsamer electromagneticgyroscopicmotion AT saelbanna electromagneticgyroscopicmotion AT maelameen electromagneticgyroscopicmotion |