EVOLUTION OF ROTATIONS OF LAGRANGE TOP UNDER THE ACTION OF SMALL CONTROL MOMENT

Authors

  • Tetiana Kozachenko Odessa State Academy of Civil Engineering and Architecture
  • Karina Kozachenko Odessa State Academy of Civil Engineering and Architecture

DOI:

https://doi.org/10.30888/2415-7538.2020-17-01-004

Keywords:

 Lagrange case, restoring and perturbation torques, nutation angle

Abstract

 Rotational motions of a symmetric rigid body around a fixed point are studied under the influence of an unsteady perturbing moment of forces. It is assumed that the body is spinning rapidly, and the disturbing moments are small compared with the restorin

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References

Лещенко Д. Д., Шамаев А. С. Возмущенные вращательные движения твердого тела, близкие к регулярной прецессии в случае Лагранжа // Изв. АН СССР. МТТ.  1987.  №6.  C.817.

Chernousko, F.L. Akulenko, L.D. and Leshchenko, D.D.(2017) Evolution of Motions of a Rigid Body About its Center of Mass, Springer, Cham. DOI: 10.1007/978-3-319-53928-7

Akulenko L., Leshchenko D., Kushpil T. and Timoshenko I. Problems of Evolution of Rotations of a Rigid Body under the Action of Perturbing Moments // Multibody System Dynamics.  2001. – V.6, №1. – pp. 3–16.

Aкуленко Л.Д. Асимптотические методы оптимального управления. М.: Наука, 1987.  368 с.

Leshchenko, D.D. and Shamaev, A.S., (1987) “Perturbed rotational motions of a rigid body that are close to regular precession in the Lagrange case”, Mechanics of Rigid Body, Vol. 22, no. 6, pp. 817.

Chernousko, F.L. Akulenko, L.D. and Leshchenko, D.D. (2017) Evolution of Motions of a Rigid Body About its Center of Mass, Springer, Cham, 241p. DOI: 10.1007/978-3-319-53928-7

Аkulenko, L.D., Leshchenko, D.D., Kushpil, Т. А., and Timoshenko, I. А. (2001) “Problems of Evolution of Rotations of a Rigid Body under the Action of Perturbing Moments”, Multibody System Dynamics, Vol. 6, no. 1, pp. 316.

Аkulenko, L.D., (1987), Asimptoticheskiye metody optimal'nogo upravleniya [Asymptotic optimal control methods], Nauka, Moscow, Russia, 368 p.

Published

2021-01-01

How to Cite

Козаченко, Т., & Козаченко, К. (2021). EVOLUTION OF ROTATIONS OF LAGRANGE TOP UNDER THE ACTION OF SMALL CONTROL MOMENT. Scientific Look into the Future, 1(17-01), 87–92. https://doi.org/10.30888/2415-7538.2020-17-01-004

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