Elena Yu. Bannikova, Victor G. Vakulik, Alexey V. Sergeev
The gravitational properties of torus have been investigated. It is shown that the torus can be formed from the test particles orbiting in the gravitational field of the central mass. In this case the toroidal distribution is achieved due to significant spread of inclinations and eccentricities of their orbits. To investigate a self-gravity of the torus we considered the N-body problem for the torus located in the gravitational field of the central mass. It is shown that in the equilibrium state the cross-section of the torus has an oval shape with Gaussian density distribution. The dependence of obscuring efficiency as a function of torus inclination is found.
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http://arxiv.org/abs/1204.6580
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