On the stationary motions in a Newtonian field of force of a body that admits of regular polyhedron symmetry groups

DOI10.1016/0021-8928(89)90051-8zbMath0722.70004OpenAlexW2056850759MaRDI QIDQ756449

R. S. Sulikashvili

Publication date: 1989

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(89)90051-8

zbMATH Keywords

stabilityTaylor expansionoctahedronicosahedrontetrahedronstationary motionscentral Newtonian fieldsymmetry groups of a regular polyhedron

Mathematics Subject Classification ID

Stability for nonlinear problems in mechanics (70K20) Free motion of a rigid body (70E15) Dynamics of a system of particles, including celestial mechanics (70F99)

Related Items (8)

Bifurcation and stability of the steady motions and relative equilibria of a rigid body in a central gravitational field ⋮ The orbital motion of a tetrahedral gyrostat ⋮ The steady motions of gyrostats with equal moments of inertia in a central force field ⋮ Generating function of the inertial integrals for small celestial bodies ⋮ Isosceles tetrahedron and an equimomental system of a rigid body ⋮ 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 ⋮ Triangular libration points and their stability in the restricted, circular, plane three-body problem

Cites Work

• Some questions in the geometric theory of invariants of groups generated by orthogonal and oblique reflections
• The effect of third-and-fourth-order moments of inertia on the motion of a solid
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