Potentials for the central parts of a barred galaxy
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 , 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 and its first derivative. As a typical example we present a potential 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
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© European Southern Observatory (ESO) 1998
Online publication: March 10, 1998