The visual surface brightness relation and the absolute magnitudes of RR Lyrae stars. II - RR Lyrae and X Arietis
The theoretical surface brightness relation for RR Lyrae stars has been combined with new VR photometry to determine distances, radii, and absolute magnitudes for X Arietis and RR Lyrae. For X Arietis, a pulsational variation in the radius from 5.06 solar radii to 5.96 solar radii, a distance of 495 + or - 50 pc, and an intensity mean absolute magnitude of +0.59 + or - 0.25 is obtained. The corresponding quantities for RR Lyrae are 4.81-5.67 solar radii, 263 + or - 39 pc, and an intensity mean absolute magnitude of +0.61 + or - 0.35. The larger errors quoted for RR Lyrae are due to uncertainties arising from the Blazhko effect. Results are discussed in the context of the dependence of RR Lyrae absolute magnitudes on metal abundance.