The stability of the steady motions of a rigid body in a central field

DOI10.1016/0021-8928(95)00123-9zbMath0900.70139OpenAlexW2040590321MaRDI QIDQ1370032

E. V. Abrarova

Publication date: 4 November 1997

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

Full work available at URL: https://doi.org/10.1016/0021-8928(95)00123-9

zbMATH Keywords

gravitational fieldsatellite approximationsecular stabilitytranslational-rotational motiontriaxial ellipsoid of inertiaweightless sphere

Mathematics Subject Classification ID

Stability for nonlinear problems in mechanics (70K20) Free motion of a rigid body (70E15) Orbital mechanics (70M20)

Related Items (4)

The motion of cross-shaped bodies around a fixed point in a central Newtonian force field ⋮ Stationary motions of a close to regular isosceles tetrahedron with a fixed point in the central Newtonian force field ⋮ On stationary motions of an isosceles tetrahedron with a fixed point in the central field of forces ⋮ The stability conditions for a heavy solid motion

Cites Work

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• On bifurcation and stability of stationary motions in certain problems of dynamics of a rigid body
• On bifurcation and stability of steady motions of two gravitating bodies
• Steady motions of a rigid body in a central gravitational field
• On stability of motion of nonholonomic systems
• On the Routh theorem and the Chetaev method for constructing the liapunov function from the integrals of the equations of motion

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