Kozachenko T. Evolution of rotations of a rigid body under the action of unsteady restoring and perturbation torques

Українська версія

Thesis for the degree of Candidate of Sciences (CSc)

State registration number

0405U000267

Thesis Registration Form

0405U000267.pdf

Applicant for

Specialization

  • 01.02.01 - Теоретична механіка

27-12-2004

Specialized Academic Board

Д 11.193.01

Essay

Тhе dissertation is devoted to the study of perturbed rotational motions of a rigid body about a fixed point under the action of restoring and perturbation torques. Restoring torques are assumed to be depending on: a) slow time;b) nutation angle and joint action of these factors. Perturbation torques are slowly varying in time. Investigations are carried on at various assumptions relative to the order of smallness of perturbation torques. The averaging method is applied. Averaged systems of equations of motion were obtained in the first and second approximations. The influence of perturbation torque of symmetric linear dissipation by the environment and small control moments is investigated.

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