Open AccessA special class of potentials admitting a local integral for rotating systems
Author(s) -
F.T. Shamshiyev
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/vak2021.2022.1.1.195
Subject(s) - class (philosophy) , stars , motion (physics) , variety (cybernetics) , symmetry (geometry) , classical mechanics , physics , galaxy , relevance (law) , task (project management) , rotation (mathematics) , gravitation , gravitational potential , theoretical physics , algebra over a field , computer science , artificial intelligence , pure mathematics , mathematics , astrophysics , geometry , law , engineering , systems engineering , political science
The search for qualitative regularities in the motion of bodies obeying Newton’s law has always been an important task incelestial mechanics. In stellar dynamics, the relevance of such searches remains, and they have become associated with awider class of possible potentials due to the variety of gravitational elds of the stars and galaxies encountered. A specialclass of potentials admitting a local integral is described in [1], which can be used to study the motion of stars in stellarsystems close to spherical symmetry. In the proposed article we will consider the same problem in the presence of rotation.The class of potentials are constructed.