We describe our methods for measuring the Hubble constant from Ryle Telescope ( RT ) interferometric observations of the Sunyaev-Zel ’ dovich ( SZ ) effect from a galaxy cluster and observation of the cluster X-ray emission .
We analyse the error budget in this method : as well as radio and X-ray random errors , we consider the effects of clumping and temperature differences in the cluster gas , of the kinetic SZ effect , of bremsstrahlung emission at radio wavelengths , of the gravitational lensing of background radio sources and of primary calibration error .
Using RT , ASCA and ROSAT observations of the Abell 1413 , we find that random errors dominate over systematic ones , and estimate H _ { 0 } = 57 ^ { +23 } _ { -16 } kms ^ { -1 } Mpc ^ { -1 } for a an \Omega _ { M } = 1.0 , \Omega _ { \Lambda } = 0.0 cosmology .