Astronomy and Astrophysics – Astronomy
Scientific paper
Aug 1987
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1987mnras.227..677y&link_type=abstract
Monthly Notices of the Royal Astronomical Society (ISSN 0035-8711), vol. 227, Aug. 1, 1987, p. 677-693.
Astronomy and Astrophysics
Astronomy
2
Angular Velocity, Dark Matter, Elliptical Galaxies, Galactic Rotation, Classical Mechanics, Mass Distribution, Velocity Distribution, Virial Theorem
Scientific paper
The tensor virial theorem is used to investigate a dynamical state of an oblate system of luminous matter which is embedded in the more extended dark matter with reasonable density profiles. The authors derived the relation between the ratio of rotation to random velocities vp/σ and the ellipticity ɛl of a luminous system. If dark matter is distributed almost spherically, then the rotation velocity in the luminous system with isotropic velocity dispersions is larger than in the isolated system with the same ellipticity. Therefore, the anisotropy in velocity dispersions necessary to be consistent with the observed slow rotations of giant ellipticals should be larger than that for the isolated system without dark matter. The authors also derived the relation between the velocity ratio vp/σ and the ellipticity ɛ of isolated systems for modified Newtonian dynamics.
Saio Hideyuki
Yoshii Yuzuru
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