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Global dynamics in the singular logarithmic potential

Stoica, C and Font, AS (2003) Global dynamics in the singular logarithmic potential. Journal of Physics A: Mathematical and General, 36 (28). ISSN 0305-4470

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Abstract

We present an analytical description of the motion in the singular logarithmic potential of the form Φ = ln √x21/b2 + x22, a potential which plays an important role in the modelling of triaxial systems (such as elliptical galaxies) or bars in the centres of galaxy discs. In order to obtain information about the motion near the singularity, we resort to McGehee-type transformations and regularize the vector field. In the axis-symmetric case (b = 1), we offer a complete description of the global dynamics. In the non-axis-symmetric case (b < 1), we prove that all orbits, with the exception of a negligible set, are centrophobic and retrieve numerically partial aspects of the orbital structure.

Item Type: Article
Uncontrolled Keywords: 01 Mathematical Sciences, 02 Physical Sciences
Subjects: Q Science > QB Astronomy
Q Science > QC Physics
Divisions: Astrophysics Research Institute
Publisher: IOP Publishing
Related URLs:
Date Deposited: 14 Apr 2020 09:36
Last Modified: 14 Apr 2020 09:45
DOI or Identification number: 10.1088/0305-4470/36/28/302
URI: http://researchonline.ljmu.ac.uk/id/eprint/12716

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