Stability and branching of stationary rotations in a planar problem of motion of mutually gravitating triangle and material point

DOI10.20537/ND1602002zbMath1371.70053OpenAlexW2467056143MaRDI QIDQ2821433

Vasily I. Nikonov, Alexander A. Burov

Publication date: 20 September 2016

Published in: Nelineinaya Dinamika (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/nd520

zbMATH Keywords

gyroscopic stabilizationstability of steady motionsnecessary conditions for stabilityasteroid-like systemsbifurcations of steady motionsgeneralized planar two-body problemgravitating systems with irregular mass distributionPoincaré bifurcation diagrams

Mathematics Subject Classification ID

Stability for nonlinear problems in mechanics (70K20) Equilibria and periodic trajectories for nonlinear problems in mechanics (70K42) Two-body problems (70F05)

Related Items (3)

Equilibria in the gravitational field of a triangular 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

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