Open AccessThe eigenvalue problem for integrable gravitating systems with application to galactic discs
Author(s) -
Polyachenko E. V.
Publication year - 2005
Publication title -
monthly notices of the royal astronomical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.058
H-Index - 383
eISSN - 1365-2966
pISSN - 0035-8711
DOI - 10.1111/j.1365-2966.2005.08660.x
Subject(s) - physics , integrable system , spiral galaxy , eigenvalues and eigenvectors , spiral (railway) , astrophysics , stellar dynamics , bar (unit) , statement (logic) , theoretical physics , galaxy , classical mechanics , mathematical physics , mathematical analysis , quantum mechanics , mathematics , meteorology , political science , law
A new statement of the eigenvalue problem of studying small perturbations in arbitrary integrable self‐gravitating systems is presented. An example of such a system, a 2D stellar disc, is considered in detail. The theory, based on the general equation for disc eigenmodes, reveals mechanisms for the formation and growth of global galactic structures. This new point of view specifies the limits of the unified theory of bar‐like and spiral modes that was based on the assumption that global galactic structures could be understood in terms of low‐frequency disc modes.