Alexander Burov
ul. Vavilova 42, Moscow, 119333 Russia
Federal Research Center “Computer Science and Control” of the Russian Academy of Sciences
Publications:
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Burov A. A., Nikonov V. I.
Libration Points Inside a Spherical Cavity of a Uniformly Rotating Gravitating Ball
2021, Vol. 17, no. 4, pp. 413-427
Abstract
The problem of the existence and stability of relative equilibria (libration points) of a uniformly
rotating gravitating body, which is a homogeneous ball with a spherical cavity, is considered.
It is assumed that the rotation is carried out around an axis perpendicular to the axis
of symmetry of the body and passing through its center of mass. The libration points located
inside the cavity are investigated. Families of both isolated and nonisolated relative equilibria
are found. Their stability and bifurcations are investigated. Realms of possible motion are
constructed.
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Burov A. A.
On Particularities of the Realization of Unilateral Constraints with Piecewise Smooth Boundaries
, , pp.
Abstract
Examples of mechanical systems subjected to unilateral holonomic constraints are considered.
It is assumed that the boundary of the area of unconstrained motion has singularities.
Possible ways of resolving the singularities based on knowledge about the mechanical origin of
the constraints are indicated.
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