Astrometry with the [ITAL]Hubble Space Telescope[/ITAL]: A Parallax of the Fundamental Distance Calibrator δ Cephei

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Abstract

We present an absolute parallax and relative proper motion for the fundamental distance scale calibrator, delta Cep. We obtain these with astrometric data from FGS 3, a white-light interferometer on HST. Utilizing spectrophotometric estimates of the absolute parallaxes of our astrometric reference stars and constraining delta Cep and reference star HD 213307 to belong to the same association (Cep OB6, de Zeeuw et al. 1999), we find pi_{abs} = 3.66 +/- 0.15 mas. The larger than typical astrometric residuals for the nearby astrometric reference star HD 213307 are found to satisfy Keplerian motion with P = 1.07 +/- 0.02 years, a perturbation and period that could be due to a F0V companion ~7 mas distant from and ~4 magnitudes fainter than the primary. Spectral classifications and VRIJHKT$_2$M and DDO51 photometry of the astrometric reference frame surrounding delta Cep indicate that field extinction is high and variable along this line of sight. However the extinction suffered by the reference star nearest (in angular separation and distance) to delta Cep, HD 213307, is lower and nearly the same as for delta Cep. Correcting for color differences, we find = 0.23 +/- 0.03 for delta Cep, hence, an absolute magnitude M_V = -3.47 +/- 0.10. Adopting an average V magnitude, = 15.03 +/- 0.03, for Cepheids with log P = 0.73 in the LMC from Udalski et al. (1999), we find a V-band distance modulus for the LMC, m-M = 18.50 +/- 0.13 or, 18.58 +/- 0.15, where the latter value results from a highly uncertain metallicity correction (Freedman et al. 2001). These agree with our previous RR Lyr HST parallax-based determination of the distance modulus of the LMC.

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