Substantial condition for the fourth first integral of the rigid body problem

DOI10.1177/1081286517716733zbMath1437.70006OpenAlexW2738491663MaRDI QIDQ4691215

W. S. Amer, T. S. Amer

Publication date: 19 October 2018

Published in: Mathematics and Mechanics of Solids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1177/1081286517716733

zbMATH Keywords

first integralsEuler-Poisson equationsgyro motiongyrostatic moment vector

Mathematics Subject Classification ID

Integrable cases of motion in rigid body dynamics (70E40) Motion of a rigid body with a fixed point (70E17) Motion of the gyroscope (70E05)

Related Items (6)

New classes of particular solutions to one problem on gyrostat motion ⋮ Modeling of the optimal deceleration for the rotatory motion of asymmetric rigid body ⋮ The periodic rotary motions of a rigid body in a new domain of angular velocity ⋮ Studying the vibrational motion of a rotating symmetrically charged solid body subjected to external forces and moments ⋮ The dynamical motion of a gyrostat for the irrational frequency case ⋮ Application of a large-parameter technique for solving a singular case of a rigid body

Cites Work

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• First integrals of the equations of motion of a symmetric gyrostat on a perfectly rough plane
• A solution for the motion of a body with a fixed point
• On algebraic integrals in the problem of motion of a heavy gyrostat fixed at one point
• On the algebraic integrals in the problem of motion of a rigid body in a newtonian field of force

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