Spherical systems of gravitating bodies with an ellipsoidal velocity distribution

Details Spherical systems of gravitating bodies with an ellipsoidal velocity distribution Spherical systems of gravitating bodies with an ellipsoidal velocity distribution

Feb 1979

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1979pazh....5...77o&link_type=abstract

(Pis'ma v Astronomicheskii Zhurnal, vol. 5, Feb. 1979, p. 77-80.) Soviet Astronomy Letters, vol. 5, Jan.-Feb. 1979, p. 42-44. Tr

Astronomy and Astrophysics

Astronomy

92

Celestial Mechanics, Galactic Clusters, Gravitational Effects, Star Clusters, Velocity Distribution, Astronomical Models, Integral Equations, Isotropic Media, Spheres

Scientific paper

The paper derives and solves an integral equation for the phase density of spherical systems of gravitating bodies with an ellipsoidal velocity distribution. It is shown that for the special case of an isotropic velocity distribution, the solution reduces to the one obtained by Eddington. In addition, the Parenago and Schuster-Plummer potentials are utilized to construct new phase models.

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