Premium
The secular stability of a gravitating stellar ring
Author(s) -
Antonov V.A.,
Vakhidov A.A.
Publication year - 2001
Publication title -
astronomische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.394
H-Index - 63
eISSN - 1521-3994
pISSN - 0004-6337
DOI - 10.1002/1521-3994(200110)322:4<211::aid-asna211>3.0.co;2-w
Subject(s) - physics , gravitational field , gravitation , homogeneous , ring (chemistry) , instability , stability (learning theory) , rotation (mathematics) , gravitational potential , classical mechanics , secular variation , astrophysics , astronomy , mechanics , statistical physics , geometry , chemistry , organic chemistry , machine learning , computer science , mathematics
The problem of secular stability of a homogeneous and cold differentially rotating gravitating stellar ring in an external gravitational field is considered. For the analysis of stability we use the method of variation of the system energy in the frames of the local hydrodynamical approximation. We show that the considered stellar system is always characterized by secular instability for all non–zero values of the density. This conclusion is valid also in the case of solid–body rotation of the ring.