Mironova E. "The investigation of the conditions of one class invariant correlations of rigid body dynamics equations"

Українська версія

Thesis for the degree of Candidate of Sciences (CSc)

State registration number

0402U002903

Applicant for

Specialization

  • 01.02.01 - Теоретична механіка

20-09-2002

Specialized Academic Board

Д 11.193.01

Essay

The thesis is devoted to the investigation of the conditions of invariant correlations existence in three sums of a rigid body dynamics with an immovable point. The existence of an invariant correlation in the equations of motion is investigated in direct and indirect sums (sum І). The existence conditions of three invariant correlations of a particular type in the G. Kirhgof differential equations are examined in the second sum. There was found one new solution of differential equations of motion. The existence conditions of polynomial solutions of the Steklov-Goriachev-Kovalevskiy class are found in the third sum and there were found three new solutions of the sum. The existence conditions of three invariant correlations of a particular type are defined in differential equations of the third sum. There was pointed out a new solution of motion equations.

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