The secular stability of a gravitating stellar ring

Details The secular stability of a gravitating stellar ring The secular stability of a gravitating stellar ring

Oct 2001

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2001an....322..211a&link_type=abstract

Astronomische Nachrichten, vol. 322, no. 4, p. 211-215

Astronomy and Astrophysics

Astronomy

Scientific paper

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.

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