Orbital Dynamics of Triaxial Black-Hole Nuclei

Astronomy and Astrophysics – Astronomy

Scientific paper

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Scientific paper

The properties of orbits in triaxial nuclei with central black holes are investigated. A power-law stellar mass model with an embedded point mass is used. Motion near the black hole is essentially regular, but motion of boxlike orbits becomes more stochastic (as a result of scattering off the black hole) as the distance from the black hole increases. The radius where a sudden transition to global stochasticity occurs is calculated as a function of the axis ratios of the stellar potential. The transition typically occurs at a radius where the enclosed stellar mass is a few times the mass of the black hole. This is approximately equal to the ``break'' radius observed in the luminosity profiles of elliptical galaxies. The predominance of chaotic motion outside this region would tend to rule out non-axisymmetric shapes. Motion of tube orbits in our potential is similar to that in a potential without a point mass since tube orbits avoid the black hole.

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