Potentials for the central parts of a barred galaxy

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Methods: Analytical, Galaxy: Kinematics And Dynamics

Scientific paper

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 x=3Dx(lambda ,b), y=3Dy(lambda ,b) 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 V_o(lambda ) and its first derivative. As a typical example we present a potential V(x,y) 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.

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