We discuss a new distance to NGC 5128 (Centaurus A) based on Cepheid variables observed with the Hubble Space Telescope. Twelve F555W (V) and six F814W (I) epochs of cosmic-ray-split Wide Field Planetary Camera 2 observations were obtained. A total of 56 bona-fide Cepheids were discovered, with periods ranging from 5 to ~50 days; five of these are likely Population II Cepheids of the W Virginis class, associated with the bulge or halo of NGC 5128. Based on the period and V and I-band luminosities of a sub-sample of 42 classical (Pop I) Cepheids, and adopting a Large Magellanic Cloud distance modulus and extinction of 18.50 +/- 0.10 mag and E(B-V)=0.10 mag, respectively, the true reddening-corrected distance modulus to NGC 5128 is mu_0 = 27.67 +/- 0.12 (random)+/- 0.16 (systematic) mag, corresponding to a distance of 3.42 +/- 0.18 (random) +/- 0.25 (systematic) Mpc. The random uncertainty in the distance is dominated by the error on the assumed value for the ratio of total to selective absorption, R_V, in NGC 5128, and by the possible metallicity dependence of the Cepheid Period-Luminosity relation at V and I. This represent the first determination of a Cepheid distance to an early-type galaxy.
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