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Perturbed motions of a rotating symmetric gyrostat

Ismail A. I., Amer T. S., Shaker M. O.

Engineering Transactions

1998

Vol. 46, iss.3/4

271-271

The aim of the present paper is to provide analytical solutions for the perturbed problem of the behaviour of a symmetric gyrostat about a fixed point. This gyrostat is acted upon by a gyrostatic momentum ?,(" = 1,2,3), variable restoring moment k and perturbing moments Mi(i = 1, 2, 3). The moment k is introduced in view of the rotation of gyrostat under the action of electro-magnetic field. The solutions are achieved when the third component of the gyrostatic momentum is different from zero (?3 5^ 0). The averaging method is applied to investigate the first order approximate solutions of resonant and non-resonant cases.