Research on the Motion of a Body in a Potential Force Field in the Case of Three Invariant Relations

DOI10.20537/nd190310zbMath1439.70004OpenAlexW2980657494MaRDI QIDQ5112931

Dmitriĭ N. Tkachenko, E. K. Shchetinina, G. V. Gorr

Publication date: 9 June 2020

Published in: Nelineinaya Dinamika (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/nd663

zbMATH Keywords

Euler anglesRodrigues-Hamilton parameterspotential force fieldPoinsot method

Mathematics Subject Classification ID

Integrable cases of motion in rigid body dynamics (70E40) Motion of a rigid body with a fixed point (70E17)

Related Items

New classes of particular solutions to one problem on gyrostat motion, Linear invariant relations for the equations of motion of a gyrostat with a variable gyrostatic moment, On solutions of the equations of motion of a gyrostat with a variable gyrostatic moment

Cites Work

• A new linear invariant relation of the Poincaré-Zhukovskii equations
• Branching of solutions and the nonexistence of first integrals in Hamiltonian mechanics. II
• Linear invariant relations of Kirchhoff's equations
• Transformations of mechanical systems with cyclic coordinates and new integrable problems
• SPLITTING OF THE SEPARATRICES AND THE NONEXISTENCE OF FIRST INTEGRALS IN SYSTEMS OF DIFFERENTIAL EQUATIONS OF HAMILTONIAN TYPE WITH TWO DEGREES OF FREEDOM
• The General Problem of the Motion of Coupled Rigid Bodies about a Fixed Point
• Kinematic interpretation of the motion of a body with a fixed point
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