Astronomy and Astrophysics – Astrophysics
Scientific paper
2007-01-02
Mon.Not.Roy.Astron.Soc.376:705-708,2007
Astronomy and Astrophysics
Astrophysics
4 pages, 5 figures, accepted by MNRAS
Scientific paper
10.1111/j.1365-2966.2007.11456.x
We study the motion of stars in a star cluster which revolves in a circular orbit about its parent galaxy. The star cluster is modelled as an ellipsoid of uniform spatial density. We exhibit two 2-parameter families of self-consistent equilibrium models in which the velocity at each point is confined to a line in velocity space. We exhibit the link between this problem and that of a uniform rotating ellipsoidal galaxy. With minimal adaptation, Freeman's bar models yield a third family.
Heggie Douglas C.
Mitchell David G. M.
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