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ЖУРНАЛЫ // Russian Journal of Nonlinear Dynamics // Архив

Rus. J. Nonlin. Dyn., 2024, том 20, номер 2, страницы 209–218 (Mi nd890)

Nonlinear physics and mechanics

On a Method for Integrating the Equations of Rigid Body Motion in Three Homogeneous Force Fields

G. V. Gorr

Steklov Mathematical Institute of Russian Academy of Science, ul. Gubkina 8, Moscow, 119991 Russia

Аннотация: This paper presents a method for integrating the equations of motion of a rigid body having a fixed point in three homogeneous force fields. It is assumed that under certain conditions these equations admit an invariant relation that is characterized by the following property: the velocity of proper rotation of the body is twice as large as the velocity of precession. The integration of the initial system is reduced to the study of three algebraic equations for the main variables of the problem and one differential first-order equation with separating variables.

Ключевые слова: three homogeneous force fields, precessional motions, invariant relation

MSC: 70E05, 70E17, 70E55

Поступила в редакцию: 07.02.2024
Принята в печать: 27.03.2024

Язык публикации: английский

DOI: 10.20537/nd240601



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