The Distance of the Dark Matter Deficient Galaxy NGC 1052-DF2

We recently inferred that the galaxy NGC 1052-DF2 has little or no dark matter and a rich system of unusual globular clusters. We assumed that the galaxy is a satellite of the luminous elliptical galaxy NGC 1052 at X20 Mpc, on the basis of its surface brightness fluctuations (SBFs) distance of 19.0 +/- 1.7 Mpc, its radial velocity of approximate to 1800 km s(-1), and its projected position. Here we analyze the color-magnitude diagram (CMD) of NGC 1052-DF2, following the suggestion by Trujillo et al. that the tip of the red giant branch (TRGB) can be detected in currently available Hubble Space Telescope (HST) data and the galaxy is at similar to 13 Mpc. Using fully populated galaxy models we show that the CMD is strongly influenced by blends. These blends produce a "phantom" TRGB-2 times brighter than the true TRGB, which can lead to erroneous distance estimates similar to 1.4 times smaller than the actual distance. We compare NGC 1052-DF2 to model images as well as other galaxies in our HST sample, and show that the large population of unblended RGB stars expected for distances of similar to 13 Mpc is not detected. We also provide a new distance measurement to NGC 1052-DF2 that is free of calibration uncertainties, by anchoring it to a satellite of the megamaser host galaxy NGC 4258. From a megamaser-TRGB-SBF distance ladder we obtain D = 18.7 +/- 1.7 Mpc, consistent with our previous measurement and with the distance to the elliptical galaxy NGC 1052.