Stellar dynamics in razor-thin discs with massive nuclear black holes

Details Stellar dynamics in razor-thin discs with massive nuclear black holes Stellar dynamics in razor-thin discs with massive nuclear black holes

Nov 1999

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1999mnras.310...97j&link_type=abstract

Monthly Notices, Volume 310, Issue 1, pp. 97-104.

Astronomy and Astrophysics

Astronomy

3

Celestial Mechanics, Stellar Dynamics, Galaxies: Kinematics And Dynamics

Scientific paper

The bifurcations of orbit-averaged dynamics are studied in a class of razor-thin discs with central black holes. The model used here consists of a perturbed harmonic oscillator Hamiltonian augmented with a -GMr potential. Through a sequence of conformal and canonical transformations, we reduce the phase-space flows of the system to a set of non-linear differential equations on a sphere. Based on the critical points of the averaged system, we classify orbit families and reveal the existence of six types of periodic motions: circular, long- and short-axis elliptical, long- and short-axis radial and inclined radial orbits. Long-axis elliptical orbits and their surrounding tubes have significant features: whilst they keep stars away from the centre, they elongate in the same direction as the density profile. These properties are helpful in the construction of self-consistent equilibria.

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