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Astron. Astrophys. 342, 389-394 (1999)

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Research Note

Motion in a potential creating a weak bar structure

N.D. Caranicolas and G.I. Karanis

Section of Astrophysics, Astronomy and Mechanics Department of Physics, University of Thessaloniki, GR-54006 Thessaloniki, Greece

Received 13 March 1998 / Accepted 15 September 1998


We investigate the properties of motion in a general galactic potential, found using a monoparametric family of ellipses and the Inverse Problem Theory. It is found, that an interesting case of the potential is that of two coupled perturbed elliptic oscillators. This potential represents a weak bar and it can describe the motion in the central parts of a barred galaxy. In the above potential we find the main families of orbits using a map in the non-rotating as well as in the rotating case. Comparing the results of the map, with those found by numerical integration, we find that the map describes very well the characteristic of motion in the non rotating case. Satisfactory results are also obtained when the galaxy rotates. Finally the onset of chaotic motion is studied and a comparison of the weak bars to strongly non axially symmetric bars is made.

Key words: galaxies: kinematics and dynamics

Send offprint requests to: N.D.Caranicolas

© European Southern Observatory (ESO) 1999

Online publication: February 22, 1999