The rotation curves of flattened Sérsic bulges

I present a method to deproject the observed intensity profile of an axisymmetric bulge with arbitrary flattening to derive the three-dimensional luminosity density profile, and to calculate the contribution of the bulge to the rotation curve. I show the rotation curves for a family of fiducial bulges with Sérsic surface brightness profiles and with various concentrations and intrinsic axis ratios. Both parameters have a profound impact on the shape of the rotation curve. In particular, I show how the peak rotation velocity, as well as the radius where it is reached, depends on both parameters.

I also discuss the implications of the flattening of a bulge for the decomposition of a rotation curve and use the case of NGC 5533 to show the errors that result from neglecting it. For NGC 5533, neglecting the flattening of the bulge leads to an overestimate of its mass-to-light ratio by approximately 30 per cent and an underestimate of the contributions from the stellar disc and dark matter halo in the regions outside the bulge-dominated area.