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Astron. Astrophys. 332, 88-92 (1998)

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Potentials for the central parts of a barred galaxy

N.D. Caranicolas

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

Received 29 May 1997 / Accepted 25 November 1997


On the grounds of the figure-eight orbits found by Miller and Smith (1979) we obtain a general potential to model the central parts of a barred galaxy. The orbits are given in parametric form [FORMULA], [FORMULA] and the potential is obtained as a power series in the small parameter b. It is found that the resulting potential depends on an arbitrary function [FORMULA] and its first derivative. As a typical example we present a potential [FORMULA] which is a perturbed harmonic oscillator, symmetric to both axes x and y with terms up to the fourth degree in the variables x,y.

Key words: methods: analytical – Galaxy: kinematics and dynamics

Send offprint requests to: N.D. Caranicolas

© European Southern Observatory (ESO) 1998

Online publication: March 10, 1998