Kirichenko V. Investigation of rigid body motions in the neighborhood of Gess solution

Українська версія

Thesis for the degree of Candidate of Sciences (CSc)

State registration number

0406U004676

Thesis Registration Form

0406U004676.pdf

Applicant for

Specialization

  • 01.02.01 - Теоретична механіка

15-11-2006

Specialized Academic Board

Д 11.193.01

Essay

In the thesis properties of Hess gyroscope motions are investigated in the neighborhood of Gess solution. The classification of the angular momentum hodograph in Gesss solution is given. Special type of Poincare cut is proposed. By means of this cut, phase portrait of motions is constructed and studied. The mechanism of chaotic motions appearing in the neighborhood of Hess solution has been studied and described. The permanent rotations sets of Hess gyroscope are investigated in detail in the thesis. In the neighborhood of these motions the linearized equations are obtained. Their first integrals are found. The problem on the enclosure of the invariant manifolds in the family of integral ones has been studied.

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