On relative equilibria on the surface of a spherical cavity inside a uniformly rotating gravitating ball

DOI10.3103/S002565442208009XOpenAlexW4360996310MaRDI QIDQ2695892

Vasily I. Nikonov, Ekaterina S. Shalimova, Alexander A. Burov

Publication date: 5 April 2023

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

Full work available at URL: https://doi.org/10.3103/s002565442208009x

zbMATH Keywords

dry frictioncelestial bodies with cavitiesgeneralized gravitating dumbbellmotion in noncentral gravity fieldnonisolated relative equilibria

Mathematics Subject Classification ID

Mechanics of deformable solids (74-XX)

Cites Work

• Unnamed Item
• On the motion of a heavy material point on a rotating sphere (dry friction case)
• Bifurcations in systems with friction: basic models and methods
• Stability properties of equilibrium sets of nonlinear mechanical systems with dry friction and impact
• Bifurcations of equilibria in non-smooth continuous systems
• Effect of perturbation on the location of libration point in the Robe restricted problem of three bodies
• Robe's restricted three-body problem revisited
• Stability of surface motion on a rotating elipsoid
• On bifurcations of relative equilibria of a heavy bead sliding with dry friction on a rotating circle
• Bifurcation phenomena in non-smooth dynamical systems
• Stability and convergence of mechanical systems with unilateral constraints
• On the motion of a point particle on a homogeneous gravitating ball with a spherical cavity in the presence of dry friction
• Libration Points Inside a Spherical Cavity of a Uniformly Rotating Gravitating Ball
• On the stability of equilibrium states for systems with dry friction
• A new kind of 3-body problem
• The existence and stability of equilibrium points in the Robe's restricted three-body problem

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