## Potentials for the central parts of a barred galaxy
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.
## Contents- 1. Introduction
- 2. Inverse problem theory
- 3. Potentials associated with figure-eight orbits
- 4. A special galactic model
- 5. Discussion
- Acknowledgements
- References
© European Southern Observatory (ESO) 1998 Online publication: March 10, 1998 |