Abstract:
The problem of the motion of a rigid body with a fixed point in a potential force field is considered. A new case of three nonlinear invariant relations of the equations of motion is presented. The properties of Euler angles, Rodrigues – Hamilton parameters, and angular velocity hodographs in the Poinsot method are investigated using an integrated approach in the interpretation of body motion.
Keywords:
potential force field, Euler angles, Rodrigues – Hamilton parameters, Poinsot method.
Citation:
G. V. Gorr, D. N. Tkachenko, E. K. Shchetinina, “Research on the Motion of a Body in a Potential Force Field in the Case of Three Invariant Relations”, Rus. J. Nonlin. Dyn., 15:3 (2019), 327–342
\Bibitem{GorTkaShc19}
\by G. V. Gorr, D. N. Tkachenko, E. K. Shchetinina
\paper Research on the Motion of a Body in a Potential Force Field in the Case of Three Invariant Relations
\jour Rus. J. Nonlin. Dyn.
\yr 2019
\vol 15
\issue 3
\pages 327--342
\mathnet{http://mi.mathnet.ru/nd663}
\crossref{https://doi.org/10.20537/nd190310}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=4021373}
Linking options:
https://www.mathnet.ru/eng/nd663
https://www.mathnet.ru/eng/nd/v15/i3/p327
This publication is cited in the following 3 articles:
G. V. Gorr, “A complex approach to the interpretation of the motion of a solid with a fixed point”, Mech. Sol., 56:6 (2021), 932–946
G. V. Gorr, T. V. Belokon, “On solutions of the equations of motion of a gyrostat with a variable gyrostatic moment”, Mech. Sol., 56:7 (2021), 1157–1166
G. V. Gorr, “An approach in studying gyrostat motion with variable gyrostatic moment”, Vestn. Udmurt. Univ.-Mat. Mekh. Kompyuternye Nauk., 31:1 (2021), 102–115
Citation in format AMSBIB
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