Report on the dynamical evolution of an axially symmetric quasar model

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Galaxies: Orbits, Regular And Chaotic Motion

Scientific paper

The role of the angular momentum in the regular or chaotic character of motion in an axially symmetric quasar model is examined. It is found that, for a given value of the critical angular momentum L zc , there are two values of the mass of the nucleus M n for which transition from regular to chaotic motion occurs. The [ L zc - M n ] relationship shows a linear dependence for the time independent model and an exponential dependence for the evolving model. Both cases are explained using theoretical arguments together with some numerical evidence. The evolution of the orbits is studied, as mass is transported from the disk to the nucleus. The results are compared with the outcomes derived for galactic models with massive nuclei.

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