Determining the nature of orbits in a three-dimensional galaxy model hosting a BL Lacertae object

Abstract

A three-dimensional dynamical model for a galaxy hosting a BL Lacertae object is constructed. The model consists of a logarithmic potential representing an elliptical host galaxy with a bulge of radius $c_b$ and a dense massive nucleus. Using numerical experiments, we try to distinguish between regular and chaotic motion in both 2D and 3D system. In particular, we investigate how the basic parameters of our model, such as the mass of the nucleus, the internal perturbation and the flattening parameters influence the amount and the degree of chaos. Interesting correlations are presented for both 2D and 3D dynamical models. Our numerical results are explained and supported using elementary theoretical arguments and analytical calculations. Of particular interest, is the local integral of motion which have been found to exist in the vicinity of stable periodic points. The obtained numerical outcomes of the present research, are linked and also compared with several data derived from observations.

arXiv commentPublished in Astronomische Nachrichten (AN) journal

References in corpus (17)

• Unified Schemes for Radio-Loud Active Galactic Nuclei
• A Fundamental Relation Between Supermassive Black Holes and Their Host Galaxies
• The HST Survey of BL Lacertae Objects. II. Host Galaxies
• Spectral energy distributions of a large sample of BL Lacertae objects
• TeV candidate BL Lac objects
• The Black Hole Masses and Host Galaxies of BL Lac Objects
• The black hole mass of BL Lac objects from the stellar velocity dispersion of the host galaxy
• Spectral Slope Variability of BL Lac Objects in the Optical Band
• Stellar Velocity Dispersion and Black Hole Mass in the Blazar Markarian 501
• Observations of the BL Lac Object 3C 66A with STACEE
• X-Ray Spectral Variability of Extreme BL Lac AGN H1426+428
• Orbit classification in the meridional plane of a disk galaxy model with a spherical nucleus
• Exploring the nature of orbits in a galactic model with a massive nucleus
• Order and Chaos in a Three-dimensional Binary System of Interacting Galaxies
• Revealing the character of orbits in a binary system consisting of a primary galaxy and a satellite companion
• Periodic orbits in warped disk
• Dark halos acting as chaos controllers in asymmetric triaxial galaxy models

Cited by in corpus (1)

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