Libration Points Inside a Spherical Cavity of a Uniformly Rotating Gravitating Ball
Received 28 July 2021; accepted 28 October 2021
2021, Vol. 17, no. 4, pp. 413-427
Author(s): Burov A. A., Nikonov V. I.
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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