Astronomy and Astrophysics – Astronomy
Scientific paper
Dec 1969
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1969jkas....2....1l&link_type=abstract
Journal of the Korean Astronomical Society, vol. 2, no. 1, p. 1-9
Astronomy and Astrophysics
Astronomy
6
Scientific paper
On the instantaneous tidal relaxation approximation, formulae are derived for the ellipticities and virial theorem of a slightly flattened homogeneous rotating cluster (the largest axis of the cluster is directed towards the Galactic center), in terms of the Galactic tidal force and the characteristic intrinsic plus orbital angular velocity. The expression for a purely tidally-determined ellipticity is identical to that for an imcompressible fluid body of uniform density. Orbital motion generally contributes significantly to the shape of the cluster. The virial theorem is identical to that for an isolated cluster except that the gravitational potential energy is multiplied by (1 - kai), where kai is a positive tidal correction term. To obtain the actual mass of a cluster, the virial theorem mass based on an isolated cluster should be multiplied by the factor 1/(1 - kai). The formulae applied to open star clusters, the globular cluster omega Centauri, and dwarf elliptical galaxies in the Local Group.
Lee See-Woo
Rood Hervert L.
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