Ignatova K. Investigation of linear invariant relations of equations of the dynamics of rigid body

Українська версія

Thesis for the degree of Candidate of Sciences (CSc)

State registration number

0413U004699

Thesis Registration Form

0413U004699.pdf

Applicant for

Specialization

  • 01.02.01 - Теоретична механіка

26-06-2013

Specialized Academic Board

Д 11.193.01

Essay

Conditions of existence of a linear invariant relation of the Kirchhoff-Poisson equations were found. Additional first integral was written. Explicit formulas for the variables of the initial problem were found. They contain elementary functions of time and elliptical ones. The conditions of existence of two linear invariant relations of equations of motion of rigid body in a magnetic field with the effect of Barnett-London were found. The explicit dependence of the main variables on the time for the case of a spherical gyrostat were written. New cases of transcendental first integrals of these equations for variant of arbitrary distribution of masses of a gyrostat have been given.

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