Open AccessLibration points of uniformly rotating celestial bodies with cavities
Author(s) -
A. Burov,
V. I. Nikonov
Publication year - 2022
Publication title -
astronomy at the epoch of multimessenger studies. proceedings of the vak-2021 conference, aug 23–28, 2021
Language(s) - English
Resource type - Conference proceedings
DOI - 10.51194/vak2021.2022.1.1.020
Subject(s) - libration (molecule) , bifurcation , lagrangian point , homogeneous , physics , classical mechanics , ball (mathematics) , stability (learning theory) , point (geometry) , motion (physics) , fixed point , geometry , mathematics , mathematical analysis , computer science , nonlinear system , quantum mechanics , machine learning , thermodynamics
The problem of the existence and stability of libration points of a homogeneous gravitating uniformly rotating ball with aspherical cavity is considered. The existence and stability of relative equilibria (libration points) located outside the bodyare investigated. Bifurcation diagrams and areas of possible motion are constructed.