الفهرس 
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Abstract
!t!he problem of rotation of a heavy gyroscope about d point is governed by the system of six nonlinear . tial equations of EULER and 1’0.ISSON, together energy, momentum, and geometric integrals. General on of this problem has not been found yet because eeds an add! tional integral which is non-existent •
. In this thesis, the problem isattaoked introducing 1 parameter and assuming that The distance between the body’s centre of gravity end the fixed point is sufficiently small.
The rigid body(gyroscope) is rapidly spinning about the intermediate principal axis of’ the ellipsoid of inertia constructed for the body at ’the fixed point.
In Oases of symmetric and non-symmetric gyroscope, -POISSONt s equations of motion are formulated and ed into a quasilinear autonomous system of differe¬equations.
and its modifications are applied e autonomous system to construct periodic solutions of power series expansions ning the small parameter.
at any instant of time 80 represented by expressing Euler1an angles in the form of power series expansions containing the small parameter. In case of non-symmetric gyroscope, solutions are constructed up to the sbth approximation; while for a symmetric gyroscope they are constructed up to the eight!h approximation.
Conoluding this thesis, it has been found that the gyroscope will perform, up to the second approximation, l a pseudo-regular precession about a vertical downward~ fixed axis as well as the higher approximations represent the perturbations of this motion.