Title of article
Separation of variables in one case of motion of a gyrostat acted upon by gravity and magnetic fields
Author/Authors
Kharlamov, M.P. Russian Academy of National Economy and Public Administration, Volgograd Branch - Math Simul Department, Russia , Yehia, H.M. Mansoura University - Faculty of Science - Math Department, Egypt
From page
236
To page
242
Abstract
A version of the integrable problem of motion of a dynamically symmetric gyrostat about a fixed point similar to the Kowalevski top, while acted upon by a combination of uniform gravity and magnetic fields is considered. This version is reduced, in general, to hyperelliptic quadratures. The special case when the gyrostatic momentum is absent is solved in terms of elliptic functions of time.
Keywords
Gyrostat , Heavy magnetized rigid body , Singular symmetry , Reduction , Separation of variables
Journal title
Egyptian Journal Of Basic and Applied Sciences
Journal title
Egyptian Journal Of Basic and Applied Sciences
Record number
2596858
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