Average velocity components in a rotating infinitely flattened self-gravitating system near an equilibrium state

Details Average velocity components in a rotating infinitely flattened self-gravitating system near an equilibrium state Average velocity components in a rotating infinitely flattened self-gravitating system near an equilibrium state

Oct 1985

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1985ap%26ss.115...39l&link_type=abstract

Astrophysics and Space Science (ISSN 0004-640X), vol. 115, no. 1, Oct. 1985, p. 39-41.

Astronomy and Astrophysics

Astrophysics

Celestial Mechanics, Gravitation, Rotating Bodies, Angular Velocity, Density Distribution, Perturbation Theory, Radial Velocity

Scientific paper

The average radial and angular velocity components are obtained for a rotating two-dimensional self-gravitating system near an equilibrium state. First-order perturbation configurations of flaring straight bars emanating from the center provide examples of such systems. In these systems the average velocity field to first order is incompressible and irrotational. The second-order effects on the product of the average velocity components with the spatial density are essentially independent of the angular coordinate.

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