Exact equilibria of a stellar system in a linearised tidal field
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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.
4 pages, 5 figures, accepted by MNRAS
4 pages, 5 figures, accepted by MNRAS