Reconstructing the Radial Profiles of Gas Density and Temperature in Clusters of Galaxies from High‐Resolution X‐Ray and Radio Observations

Abstract

We describe a nonparametric method to reconstruct gas density and temperature proÐles of galaxy clusters from observations of X-ray surface brightness, emission-weighted temperature, and the y parameter through the Sunyaev-Zeldovich e †ect. This method is based on the inversion of the projected proÐles under the spherically symmetric approximation, which is independent of the equation of state of cluster gas and does not assume that the gas is in hydrostatic equilibrium. In particular, we examine the reliability of the reconstruction method assuming a few theoretical models for cluster gas and assigning the statistical errors expected for future X-ray and radio observations. We also discuss brieÑy the e †ect of nonsphericity on the basis of simulated clusters.