A simple method of determining the Hubble constant

Abstract

Bidirectional relativistic proper motions of radio components of nearby extragalactic sources give a strong constraint on the determination of the Hubble constant $H_0$. Under the assumption that the real velocity of radio components of extragalactic sources is not less than that of Galactic sources, the value of $H_0$ can be estimated at a high level of accuracy. The assumption is reasonable due to the general belief that the activity in the core of galaxies must be more powerful than that of stars. This method is simple and with only one uncertainty --- the real velocity of components. This uncertainty is related to the value of the real velocity of componenets of Galactic sources and the latter is always well-determined (note that the determination is independent of $H_0$ and the distance of Galactic sources can be directly measured at a rather high level of accuracy). Hopefully the method will play an important role in future research to fix the value of $H_0$. With the data of the three sources available so far and the assumption that the real velocity of componenets of at least one of the sources is not less than a known velocity of componenets of a Galactic source, the constant is estimated to be within $27.08kms^{-1}Mpc^{-1} < H_0 \leq 53.15kms^{-1}Mpc^{-1}$ with this method.