Libration Points Inside a Spherical Cavity of a Uniformly Rotating Gravitating Ball

A. A. Burov; V. I. Nikonov

doi:10.20537/nd210404

journal article Jan 01, 2021

Libration Points Inside a Spherical Cavity of a Uniformly Rotating Gravitating Ball

A. A. Burov V. I. Nikonov

Nelineinaya Dinamika Vol. 17 No. 4 pp. 413-427 · Izhevsk Institute of Computer Science

View at Publisher Save 10.20537/nd210404

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.

Topics

No keywords indexed for this article. Browse by subject →

Metrics

2

Citations

0

References

Details

Published: Jan 01, 2021
Vol/Issue: 17(4)
Pages: 413-427

Authors

Cite This Article

A. A. Burov, V. I. Nikonov (2021). Libration Points Inside a Spherical Cavity of a Uniformly Rotating Gravitating Ball. Nelineinaya Dinamika, 17(4), 413-427. https://doi.org/10.20537/nd210404

Libration Points Inside a Spherical Cavity of a Uniformly Rotating Gravitating Ball

You May Also Like