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Report on the dynamical evolution of an axially symmetric quasar model

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 momentumL ^sub zc^, there are two values of the mass of the nucleusM ^sub n^ for which transition from regular...

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Bibliographic Details
Published in:Journal of astrophysics and astronomy 2006-12, Vol.27 (4), p.389-397, Article 389
Main Authors: Papadopoulos, N J, Caranicolas, N D
Format: Article
Language:English
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Summary: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 momentumL ^sub zc^, there are two values of the mass of the nucleusM ^sub n^ for which transition from regular to chaotic motion occurs. The [L ^sub zc^ - M ^sub 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.[PUBLICATION ABSTRACT]
ISSN:0250-6335
0973-7758
DOI:10.1007/BF02709365