The Milky Way, The Local Galaxies \& the IR Tully-Fisher Relation

Abstract

Using the near infrared fluxes of local galaxies derived from COBE/DIRBE J(1.25 $μ$m) K (2.2 $μ$m) \& L (3.5 $μ$m) band maps and published Cepheid distances, we construct Tully-Fisher (TF) diagrams for the nearby galaxies. The measured dispersions in these luminosity-linewidth diagrams are remarkably small: $σ_J = 0.09$ magnitudes, $σ_K = 0.13$ magnitudes, and $σ_L = 0.20$ magnitudes. For the J and K bands, Monte Carlo simulations give a 95\% confidence interval upper limit on the true scatter in the T-F diagram of $σ_J \le 0.35$ and $σ_K \le 0.45$. We determine Milky Way's luminosity and place it in the T-F diagram by fitting a bar plus ``standard'' values of its size and circular speed (Sun-Galactic center distance $R_0 = 8.5 \kpc$ and $Θ_0 =220 \kms$), the Milky Way lies within $1.5 σ$ of the TF relations. We can use the TF relation and the Cepheid distances to nearby bright galaxies to constrain $R_0$ and $Θ_0$. Alternatively, we can fix the parameters of the Galaxy to their standard values, ignore the Cepheid zero-point, and use the Tully-Fisher relation to determine the Hubble Constant directly: $H_0 = 66 \pm 12$ km/s/Mpc.