{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,7,30]],"date-time":"2025-07-30T13:59:19Z","timestamp":1753883959029,"version":"3.41.2"},"reference-count":16,"publisher":"Wiley","issue":"1","license":[{"start":{"date-parts":[[2012,12,19]],"date-time":"2012-12-19T00:00:00Z","timestamp":1355875200000},"content-version":"vor","delay-in-days":353,"URL":"http:\/\/creativecommons.org\/licenses\/by\/3.0\/"}],"funder":[{"DOI":"10.13039\/501100006701","name":"Umm Al-Qura University","doi-asserted-by":"publisher","id":[{"id":"10.13039\/501100006701","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["onlinelibrary.wiley.com"],"crossmark-restriction":true},"short-container-title":["Journal of Applied Mathematics"],"published-print":{"date-parts":[[2012,1]]},"abstract":"<jats:p>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\u2019s angles  (<jats:italic>\u03b8<\/jats:italic>, <jats:italic>\u03c8<\/jats:italic>, <jats:italic>\u03d5<\/jats:italic>). Computer programs are carried out to integrate the attained quasilinear autonomous system using a fourth\u2010order Runge\u2010Kutta method. A comparison between the obtained analytical solutions and the numerical ones is investigated to calculate the errors between them.<\/jats:p>","DOI":"10.1155\/2012\/812645","type":"journal-article","created":{"date-parts":[[2012,12,19]],"date-time":"2012-12-19T23:04:02Z","timestamp":1355958242000},"update-policy":"https:\/\/doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":5,"title":["Electromagnetic Gyroscopic Motion"],"prefix":"10.1155","volume":"2012","author":[{"given":"A. I.","family":"Ismail","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"T. S.","family":"Amer","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"S. A.","family":"El Banna","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"M. A.","family":"El-Ameen","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"311","published-online":{"date-parts":[[2012,12,19]]},"reference":[{"volume-title":"Geometry of Rotation: Understanding the Dynamics of Rigid Bodies","year":"2005","author":"Rigby C.","key":"e_1_2_7_1_2"},{"key":"e_1_2_7_2_2","doi-asserted-by":"crossref","first-page":"857","DOI":"10.1016\/j.jappmathmech.2004.11.007","article-title":"The  \u201crestricted\u201d formulation of the problem of the motion of a heavy rigid body","volume":"68","author":"Burov A. A.","year":"2004","journal-title":"Journal of Applied Mathematics and Mechanics"},{"key":"e_1_2_7_3_2","doi-asserted-by":"publisher","DOI":"10.1016\/S1270-9638(97)90029-8"},{"key":"e_1_2_7_4_2","doi-asserted-by":"crossref","first-page":"195","DOI":"10.1016\/j.jappmathmech.2005.03.004","article-title":"First integrals in the problem of the motion of a heavy rigid body about a fixed point under a unilateral constraint","volume":"69","author":"Burov A. A.","year":"2005","journal-title":"Journal of Applied Mathematics and Mechanics"},{"key":"e_1_2_7_5_2","doi-asserted-by":"crossref","first-page":"168","DOI":"10.1016\/j.jappmathmech.2007.06.002","article-title":"Analysis of the Euler-Poisson equations by the methods of power geometry and the normal form","volume":"71","author":"Bryuno A. D.","year":"2007","journal-title":"Journal of Applied Mathematics and Mechanics"},{"key":"e_1_2_7_6_2","first-page":"305","article-title":"Motion of a rigid body analogous to the case of Euler and Poinsot","volume":"24","author":"Amer T. S.","year":"2004","journal-title":"Analysis"},{"key":"e_1_2_7_7_2","doi-asserted-by":"publisher","DOI":"10.1017\/CBO9780511665479"},{"volume-title":"Numerical Methods","year":"2002","author":"Faires D.","key":"e_1_2_7_8_2"},{"key":"e_1_2_7_9_2","doi-asserted-by":"publisher","DOI":"10.1002\/zamm.19950751203"},{"key":"e_1_2_7_10_2","doi-asserted-by":"publisher","DOI":"10.1017\/CBO9780511805455"},{"key":"e_1_2_7_11_2","first-page":"50","article-title":"A necessary and sufficient condition for solving a rigid body problem","volume":"31","author":"Ismail A. I.","year":"2011","journal-title":"Technische Mechanik"},{"key":"e_1_2_7_12_2","doi-asserted-by":"publisher","DOI":"10.1007\/s11071-007-9327-x"},{"key":"e_1_2_7_13_2","series-title":"Applied Mathematical Sciences","volume-title":"Averaging Methods in Nonlinear Dynamical Systems","author":"Sanders J. A.","year":"2007"},{"volume-title":"Engineering Electromagnetics","year":"1989","author":"William H.","key":"e_1_2_7_14_2"},{"key":"e_1_2_7_15_2","series-title":"Solid Mechanics and Its Applications","doi-asserted-by":"crossref","DOI":"10.1007\/978-94-015-8847-8","volume-title":"Applied Asymptotic Methods in Nonlinear Oscillations","author":"Mitropolskii Yu. A.","year":"1997"},{"key":"e_1_2_7_16_2","series-title":"Universitext","volume-title":"Ordinary Differential Equations","author":"Arnold V. I.","year":"2006"}],"container-title":["Journal of Applied Mathematics"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/downloads.hindawi.com\/journals\/jam\/2012\/812645.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/jam\/2012\/812645.xml","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/pdf\/10.1155\/2012\/812645","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,6,11]],"date-time":"2024-06-11T06:59:33Z","timestamp":1718089173000},"score":1,"resource":{"primary":{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/10.1155\/2012\/812645"}},"subtitle":[],"editor":[{"given":"Francesco","family":"Pellicano","sequence":"additional","affiliation":[],"role":[{"role":"editor","vocabulary":"crossref"}]}],"short-title":[],"issued":{"date-parts":[[2012,1]]},"references-count":16,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2012,1]]}},"alternative-id":["10.1155\/2012\/812645"],"URL":"https:\/\/doi.org\/10.1155\/2012\/812645","archive":["Portico"],"relation":{},"ISSN":["1110-757X","1687-0042"],"issn-type":[{"type":"print","value":"1110-757X"},{"type":"electronic","value":"1687-0042"}],"subject":[],"published":{"date-parts":[[2012,1]]},"assertion":[{"value":"2012-07-31","order":0,"name":"received","label":"Received","group":{"name":"publication_history","label":"Publication History"}},{"value":"2012-11-12","order":1,"name":"accepted","label":"Accepted","group":{"name":"publication_history","label":"Publication History"}},{"value":"2012-12-19","order":2,"name":"published","label":"Published","group":{"name":"publication_history","label":"Publication History"}}],"article-number":"812645"}}